PLEASE HELP I’LL MAKE YOU BRAINLIEST! (PLEASE WRITE THE CALCULATIONS ASWELL!)

1. Greg’s Garden Shop sells oak tree saplings for $24.90. Employees receive a discount of 30% off the regular price. How much would an employee pay for an oak tree sapling?

2. Tori buys wooden picture frames, paints them, and sells them. A frame and the necessary paint cost Tori $4. To make a profit, she marks up the price of the frames by 40%. How much does she charge for the painted frames?

3. A party supply store buys balloons and fills them with helium. The total cost of the balloon and the helium is $0.50. The balloons are then marked up by 80% and sold to customers. How much does the customer pay for a filled balloon?

4. At Tex’s Taco Truck, beef tacos are $3.60. Tex runs a deal every Tuesday, when all tacos are 15% off. What is the price of a beef taco on a Tuesday?

5. At the bakery Lola owns, the cost of baking and decorating a cake is $17. Lola marks up cakes by 120% before selling them. How much does the bakery charge for a cake?

HELP ASAP!!

Answers

Answer 1

Answer:

Multiply each as in like 120 multiply by 1.2. If 60 multiply by 0.6.

Step-by-step explanation:


Related Questions

1 ) Indicate whether you can use the method of undetermined coefficients to find a particular solution. Explain why. 2) In case that the method can be applied indicate the form of the solution you would try. You do not need to find the solution.
(C) y" – 4y' + 13y = tezt sin(3t) (D) y" – 4y' + 13y = tan(3t)

Answers

y" – 4y' + 13y = sin(3t), we can use the method of undetermined coefficients to find a particular solution for this equation.  y" – 4y' + 13y = tan(3t) for this equation, we cannot use the method of undetermined coefficients to find a particular solution for this equation.

For equation (X): y" – 4y' + 13y = sin(3t). Yes, we can use the method of undetermined coefficients to find a particular solution for this equation. The reason is that the right-hand side of the equation, sin(3t), is a trigonometric function that can be expressed as a linear combination of sine and cosine functions. To find the particular solution, we would assume a form for y that corresponds to the right-hand side of the equation. Since the right-hand side is sin(3t), we would try a solution of the form:

y_p = A sin(3t) + B cos(3t)

Here, A and B are constants that we need to determine. Substituting this assumed solution into the differential equation and solving for A and B will allow us to find the particular solution.

For equation (Y): y" – 4y' + 13y = tan(3t)

No, we cannot use the method of undetermined coefficients to find a particular solution for this equation. The reason is that the right-hand side of the equation, tan(3t), is a trigonometric function that cannot be expressed as a linear combination of sine and cosine functions.

Instead, for this equation, we would need to use a different method, such as variation of parameters or integrating factors, to find a particular solution. These methods are more suitable for solving differential equations with non-linear functions on the right-hand side.

Therefore, : y" – 4y' + 13y = sin(3t), we can use the method of undetermined coefficients to find a particular solution for this equation.  y" – 4y' + 13y = tan(3t) for this equation, we cannot use the method of undetermined coefficients to find a particular solution for this equation.

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PLSS HELP I NEED THIS

PLSS HELP I NEED THIS

Answers

9r - 177 > - r + 233

9r + r > 233 + 177

10r > 410

^^^Divide both sides

Answer:

r > 41

Alternative form:

r ∈ ( 41, + ∞ ), { r | r > 41 }

It's correct! :)

Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years


Plz help!!!!​

Answers

Answer: Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Answer:

Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Thank you!

please hand solve and show steps
(a) Find the dual of the LP .
(b) Find the standard form of the LP and dual.
(c)Optimal solution for the primal problem is: x ∗ 1 = 20, x∗ 2
= 60, s∗ 1 = 0, s∗
objective m constraints n decision variables Consider the following LP. Primal and Dual pair min b₁y₁+ max C₁x₁++GX+ CnXn 8/1X1 +2X2 + + ax ≤ bi ax1 + a2x2 + +anxn bi a/1X1 + a2x2 + +anxn 2

Answers

(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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Mia takes a random sample of
10
1010 of her coworkers and asks them each how many pets they have. Assume that their results are independent, and let
X
XX represent the average number of pets in the sample.
Is
X
XX a binomial variable? Why or why not?

Answers

Each trial isn't being classified as a success or failure, so X is not a binomial variable

What is a binomial variable?

The probability of success raised to the power of the number of successes is multiplied by the probability of failure raised to the power of the difference between the number of successes and the number of trials.

In a binomial distribution, the probability of success must remain constant for the trials under consideration. When tossing a coin, for example, the probability of flipping a coin is 0.5 for each trial because there are only two possible outcomes

Since their results are independent, and lX represent the average number of pets in the sample, X is not a binomial variable

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Complete question

Mia takes a random sample of 10 of her coworkers and asks them each how many pets they have. Assume that their results are independent, and let X represent the average number of pets in the sample.

Is X a binomial variable? Why or why not?

(1 point) standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers. how many different standard plates are possible in this system? (assume repetition of letters and numbers is allowed.) your answer is :

Answers

Therefore ,there are 158,184,000 ways to create a license plate in this system.

What is combination ?

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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ASAP! what type of angles are <3 and <10

A. Consecutive interior angles
B. Alternate exterior angles
C. alternative interior angles
D. Corresponding angles ​

ASAP! what type of angles are &lt;3 and &lt;10A. Consecutive interior anglesB. Alternate exterior anglesC.

Answers

Answer:

∠3 and ∠10 are;

B. Alternate exterior angles

Step-by-step explanation:

From the given diagram, we have;

∠3 and ∠10 are angles on the same transversal

The location of ∠3 and ∠10 are on the outer (exterior) part of the two lines crossed by the transversal that forms ∠3 and ∠10 such that the two lines comes between the angles

∠3 and ∠10 are on the alternate sides of the transversal such that ∠3 is below the transversal and ∠10 is above the transversal

Therefore, ∠3 and ∠10 are alternate exterior angles.

**PLEASE HELP TIMED TEST**

Which expression is equivalent to the following complex fraction?
+
х
Y ||
2
X

**PLEASE HELP TIMED TEST**Which expression is equivalent to the following complex fraction?+Y ||2X

Answers

Answer:

option A is equivalent to the complex fraction

100 POINTS plus a Brainiest
The table represents an exponential function.

What is the ratio of outputs for any two inputs that are two values apart?

Divide the larger output by the smaller output.



Enter your answer, as a decimal to the nearest hundredth, in the box.

100 POINTS plus a Brainiest The table represents an exponential function.What is the ratio of outputs

Answers

Answer:

0. (45) 1. (51.71) 2. (48.24) 3. (55.44) 4. (59.43)

Step-by-step explanation:

Ill be so sorry if I get it wrong I did the math and this is what I got so if I get it wrong tell me ;w;

Answer: 1.15

Step-by-step explanation:

Find the exact coordinates of the centroid for the region bounded by the following curves: y=16x,y= 9/x

,y=0,x=10.

Answers

To find the coordinates of the centroid for the region bounded by the curves y=16x, y=9/x, y=0, and x=10, we need to calculate the x-coordinate and y-coordinate of the centroid separately. First, let's find the x-coordinate of the centroid.

We can use the formula: x-bar = (1/A) ∫[a,b] xf(x) dx, where A is the area of the region. The intersection points of the curves y=16x and y=9/x can be found by setting the equations equal to each other: 16x=9/x.

Solving this equation, we get x=±√(9/16)=±3/4. Since the region is bounded by x=10, we take the positive value x=3/4. To find the area A, we integrate the difference between the curves: A=∫[3/4,10] (16x-9/x) dx. Evaluating this integral, we find A=400-9ln(10).

Now we can calculate the x-coordinate of the centroid: x-bar=(1/A) ∫[3/4,10] x(16x-9/x) dx. Simplifying the integral and evaluating it, we get x-bar=(8160-36ln(10))/(400-9ln(10)). Next, let's find the y-coordinate of the centroid.

Since the region is symmetric about the x-axis, the y-coordinate of the centroid will be y-bar=0. Therefore, the exact coordinates of the centroid for the given region are: (x-bar, y-bar)=((8160-36ln(10))/(400-9ln(10)), 0).

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i need the answer to these questions FAST PLEASE

i need the answer to these questions FAST PLEASE

Answers

Answer:

\(\underline{\underline{ \boxed{ans(1)}}} \: \boxed{x = 11} \\ \\ \underline{\underline{ \boxed{ans(2)}}} \: \boxed{x = 9} \\ \\ \underline{\underline{ \boxed{ans(3)}}} \: \boxed{x = 10} \\ \\ \underline{\underline{ \boxed{ans(4)}}} \: \boxed{x = 6} \\ \\ \underline{\underline{ \boxed{ans(5)}}} \: \boxed{x = 7} \\ \\ \underline{\underline{ \boxed{ans(6)}}} \: \boxed{x = 13} \\ \\ \)

Step-by-step explanation:

\(\underline{\underline{ \boxed{ans(1)}}} \\ \frac{54}{36} = \frac{24}{x + 5} : \\ (36)(24) = (54)(x + 5) \\ (x + 5) = \frac{(36)(24)}{(54)} \\ x = 16 - 5 \\ \boxed{x = 11} \\ \\ \underline{\underline{ \boxed{ans(2)}}} \\ \frac{(20 + 8)}{20} = \frac{(2x + 3)}{15} : \\ (20)(2x + 3) = (15)(28) \\ (2x + 3) = \frac{(15)(28)}{(20)} \\ 2x = 21 - 3 \\2x = 18 \\ \boxed{x = 9} \\ \\ \underline{\underline{ \boxed{ans(3)}}} \\ \frac{24}{28} = \frac{x + 8}{3x - 9} : \\ (28)(x + 8) = (24)(3x - 9) \\ 28x + 224 = 72x- 216 \\ 72x - 28x = 224 + 216 \\ 44x = 440 \\ \boxed{x = 10} \\ \\ \underline{\underline{ \boxed{ans(4)}}} \\ \frac{39}{4x + 2} = \frac{42}{5x - 2} : \\ (42)(4x + 2) = (39)(5x - 2) \\ 168x + 84 = 195x- 78 \\ 195x - 168x = 84 + 78 \\ 27x = 162 \\ \boxed{x = 6} \\ \\ \underline{\underline{ \boxed{ans(5)}}} \\ \frac{48}{4x + 4} = \frac{60}{7x - 9} : \\ (60)(4x + 4) = (48)(7x - 9) \\ 240x + 240 = 336x- 432 \\ 336x - 240x = 240 + 432 \\ 96x = 672 \\ \boxed{x = 7} \\ \\ \underline{\underline{ \boxed{ans(6)}}} \\ \frac{40}{40 - 5} = \frac{3x - 7}{2x + 2} : \\ (40)(2x + 2) = (35)(3x - 7) \\ 80x + 80 = 105x- 245 \\ 105x - 80x = 80 + 245 \\ 25x = 325 \\ \boxed{x = 13} \\ \\ \)

Two right ide if a right triangle meaure 2 unit and 4 unit. What i the area of the quare that hare a ide with the third ide of the triangle?

Answers

The area of the third side of the triangle is either 20 square unit or 12 square units.

Triangle:

in math, triangle refers a simple closed curve made of three line segments and it has three vertices, three sides and three angles.

Given,

Two sides of a right triangle measure 2 units and 4  units.

And we need to find the area of the square that shares a side with the third side of the triangle  ​

Let us consider is  Two sides of a right triangle measure 2 units and 4  units.

Here if sides are perpendicular sides, then by using Pythagorean theorem

=> third side² = 2² + 4²

When we simplify this one, then we get,

=> third side² = 4 + 16

So, the  third side² = 20

Then the area of the square that shares a side with the third side of the triangle =  third side² = 20 sq units

Similarly, if 4  units is hypotenuse side, then by using Pythagorean theorem, the third side is calculated as,

=> third side² = 4² - 2²

And when we simplify this one, then we get,

=> third side² = 16 - 4

Therefore, the third side² = 12

And the area of the square that shares a side with the third side of the triangle =  third side² = 12 sq units

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In the given figure, m∠L = 133°, m∠M = 108°, and m∠N = 119°. Find the measures of the interior angles of the triangle.

In the given figure, mL = 133, mM = 108, and mN = 119. Find the measures of the interior angles of the

Answers

Sum of all interior angles of a triangle is 180.

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°~

<L = 133

<M = 108

<N = 119

Measures of the interior angles of the triangle

=(180 - 133) + (180 - 108) + (180-119)

= 47 + 72 + 61

= 180

A school assembly had 40 students in attendance, and 25% of them were first-graders. How many first-graders were at the assembly?

Answers

Answer:

it is 10

Step-by-step explanation:

Answer:

25% of 40 = 10 first-graders

Step-by-step explanation:

25÷100×40 = 10

:)

help please with manipulating fractions URGENT!!!!!!!!!!

help please with manipulating fractions URGENT!!!!!!!!!!

Answers

Answer:

1: x=y-3    linear equation : y=x+3

2:y=-2x-3  linear equation : y=-2x-3

3: -4y+6 =2 linear equation : y=2-6/-4 ⇒ y=1

4:2/3 x-1/3y=2 , linear equation : y=2x-6

 -1/3 y=2-2/3 x

 y=-6+2x

13: 5x+25=y² not linear

y = √5x+25

14 : 8+y=4x linear y=4x-8

15: 9xy-6x=7 not linear

16: 4y²+9=-4 ⇒ y²=-4/4 -9/4 ⇒y=√-1-2.25 ⇒y=√-3.25 not linear

17: 12x=7y-10y  linear : y=12x/-3 ⇒ y=-4x

18:y=4x+x linear y=5x

Indicate below weather the equation in the box is true or false

Indicate below weather the equation in the box is true or false

Answers

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

7.
Grace built this pyramid using 55 blocks.
She glued the blocks together and glued
them onto a board. If she paints the pyramid
blue how many blocks will have no painted
faces?
27

Answers

Answer: 31

Step-by-step explanation:

55-24 because she said that she painted 24 blue so you would subtract them.

The table shows the monthly rainfall amount in Honolulu, Hawaii during one year. Month Jan Feb Mar Apr May Jun Jul Aug Sept | Oct Nov Dec Rainfall Amount 2.73 2.35 1.89 1.11 0.78 0.43 0.50 0.46 0.74 2.18 2.27 2.85 (In inches) What is the median monthly rainfall amount?

Answers

The table shows the rainfall for 12 months.

The median value takes account of the value in the middle after arranging in order from least to greatest. Hence we now have,

\(0.43,0.46,0.50,0.74,0.78,1.11,1.89,2.18,2.27,2.35,2.73,2.85\)

From the data set above, the middle values are 1.11 and 1.89 (since the data set is an even number) and that means the median is

\(\begin{gathered} \operatorname{median}=\frac{1.11+1.89}{2} \\ \operatorname{median}=\frac{3}{2} \\ \operatorname{median}=1.5 \end{gathered}\)

The Median monthly rainfall is 1.50 inches

determine the minimum number of terms needed toestimate the sum of the convergent alternating serieswith an absolute error of less than 0.001:

Answers

To estimate the sum of a convergent alternating series with an absolute error of less than 0.001, we can use the Alternating Series Estimation Theorem.

This theorem states that the error made by approximating the sum of an alternating series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.

In other words, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that |a(n+1)| < 0.001, where a(n) is the nth term of the alternating series.

Then, using the Alternating Series Test, we know that the terms of the series must approach zero as n goes to infinity. So, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that:

|a(n+1)| < 0.001

Now, we can rearrange this inequality to solve for n:

|a(n+1)| < 0.001

a(n+1) < 0.001 (since the series is alternating)

(-1)(n+1) * a(n+1) < 0.001 (-1 to account for the alternating signs)

a(n+1) > -0.001

Since the terms of the series are decreasing in magnitude, we can assume that the smallest value of |a(n+1)|. Therefore, we can set n = 1 to get:

|a(2)| < 0.001

|(-1)2 * a(2)| < 0.001

|a(2)| < 0.001

So the absolute error will be less than 0.001 if we use the first two terms of the series to estimate the sum.

The total of the convergent alternating series can be estimated with a minimum of two terms and an absolute error of less than 0.001.

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Arturo is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

There are 6 different possible outcomes.

What is probability ?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The party which calls the coin's side wins.

We find it because when we turn a coin very often, humans get half the heads and half the tails.

The chances of swinging the head are 1/2 , and the chances of swinging the tail are 1/2 .

Total outcomes = 2×5×6

                           = 60

So the final answer is 60

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HELPPPP I need to finish my assignments plzzzzzz

HELPPPP I need to finish my assignments plzzzzzz

Answers

Answer:

9

Step-by-step explanation:

I think 9 is the answer because the person needs 18 gallons of green and has only 2 of yellow

an open-top box is to be made by cutting small congruent squares from the corners of a 10- in.-by-10-in. sheet of tin and bending up the sides. how large should the squares cut from thecorners be to make the box hold as much as possible? what are the dimensions of the box withthe largest volume?

Answers

the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:

V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x

To maximize V, we take the derivative of this expression and set it equal to zero:

dV/dx = 12x^2 - 80x + 100 = 0

Solving for x using the quadratic formula, we get:

xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76

The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.

The dimensions of the box with the largest volume are:

Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches

Height = x = 5.76 inches

Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

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The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they pay in total? 0 $85.39 O $74.25 O $63.11 O $90.75​

Answers

Answer:

Step-by-step explanation:

The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they pay in total? 0 $85.39 O $74.25 O $63.11 O $90.75​

Answer:$85.39

Step-by-step explanation:

solve eqn by factorisation method
2x squre-50x=0​

Answers

Answer:

0 or 25

Step-by-step explanation:

To solve for x

we first factor

2x^2-50x=0

2x(x-25)=0

To make this equation 0 x has to be 0 or 25

The figure shows some cubes of edges 1 centimetre stacked in a corner. How many 1 cm cubes must be added to form a cube with each edge measuring 5 centimetres?

The figure shows some cubes of edges 1 centimetre stacked in a corner. How many 1 cm cubes must be added

Answers

Answer: I think If a cube has an edge length of 1 cm, and it is divided into 5 cm cubes, there will be 1 x 1 x 1= 1 cm  cube.

2. The ratio of the sides of two similar polyon is 3:2
The area of the smaller polygon is 24 cm squre? What is the area of the large polygon?​

Answers

Answer:

36 cm square will be the correct answer

3/x=2/24
Do cross products 2x=72
Divide by 2 on both sides
Answer is 36 cm squared

Which summation formula represents the series below?
13 + 9 + 5 + 1

Answers

The answer is 28 ......



Zzzzz

∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.

What is Series?

A series is the cumulative sum of a given sequence of terms.

The given expression is 13 + 9 + 5 + 1

The terms of this series are 13,9,5,1

It is an AP. Here, first term is 13 and common ratio is -4.

The nth term of an AP is

aₙ=a+(n-1)d

=13+(n-1)(-4)

=13-4n+4

=17-4n

The summation formula of an Arithmetic progression is

∑aₙ

The value of n is 4 because the number of term is 4. So, the summation formula is

∑(17-4n)

Hence ∑(17-4n) is the summation formula represents the series

13 + 9 + 5 + 1.

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Carlisle Transport had $4,520 cash at the beginning of the period. During the period, the firm collected $1,654 in receivables, paid $1,961 to supplier, had credit sales of $6,916, and incurred cash expenses of $500. What was the cash balance at the end of the period?

Answers

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Homer plans to deposit $150 in the bank in one year. He plans to make the same deposit two years from today and three years from today. How much will Homer have in the bank in four years? Homer's bank pays an interest rate of 5.6%. $502 $689 $652 $476

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After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point. y=−x ^2 −8

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Answer:

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