A scientist makes $150,000 per year. She deposits 5% of her yearly income in a travel savings account. How much money should she have in her savings account by the the end of the year in dollars and cents? -pleaseee hurryy

Answer:

x2 + x = 42

Step-by-step explanation:

x = nhmber

x² = its square

then:

The sum of a number and its square is 42 is:

x² + x = 42

Answer:

B

line n has slope equal to zero

Complete question:

Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)

Answer:  

2. A-C = 5 cm

3. B-A = 4 cm

4. The perimeter of triangle A-B-C = 12 cm.

Step-by-step explanation:

First, picture a triangle formed by points D-E-F.

Now,

These values suggest that

The perimeter of the interior triangle ABC = 3cm + 5cm + 4cm = 12 cm

The total area of the interior triangle ABC is 1/4 the area of triangle DEF. You can see in the picture that there are four equal triangles inside DEF.

Answer:

B C and D

Step-by-step explanation:

right on edge

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The optimal feasible solution is x1 = 1, x2 = 0.4, and the problem is a regular linear programming problem.

To solve the given linear programming problem, let's define the decision variables and formulate the objective function and constraints:

Decision Variables:

x1, x2

Objective Function:

Maximize: 2x1 + 6x2

Constraints:

2x1 + 5x2 ≤ 4

4x1 + x2 ≤ 6

x1, x2 > 0

To find the optimal feasible solution, we can use a linear programming solver. Here is the optimal solution for the given problem:

Optimal Solution:

x1 = 1

x2 = 0.4

The maximum value of the objective function is obtained when x1 = 1 and x2 = 0.4. The maximum value is 2(1) + 6(0.4) = 4.8.

Now let's analyze if the solution is a special case of linear programming.

This problem falls under the category of Linear Programming (LP) problems. However, it does not represent any specific special case of LP such as degeneracy, unboundedness, or infeasibility. The given problem has a feasible solution, and the objective function is maximized within the given constraints. Hence, it is a regular LP problem without any special case conditions.

Note: Since the solution is text-based, there is no need to scan or provide a separate file.

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Answer:

240 m^3

Step-by-step explanation:

It's a cuboid with a volume=l*b*h, where l, b, h are the dimensions of the shape.

Volume=5*12*4=240 m^3

Answer:

V =240 m^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l is length w is width and h is height

V = 12*4*5

V =240 m^3

The correct statement for the given relation being a function is -

B: No, because for each output there is not exactly one input.

What is a relation?

In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.

To determine if the relation is a function, we need to check if there is exactly one output (y-value) for each input (x-value).

Looking at the mapping diagram, we see that the input value of 1 and -3 has arrows pointing to one output value which is 0.

Similarly, the input value -1 and 3 has arrows pointing to one output value which is 2.

Therefore, there is not exactly one input for the output value of 0 and 2.

Thus, the relation is not a function because for at least one output there is not exactly one input.

Therefore, this relation cannot be considered a function.

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The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by

\( \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } \)

where

( x1 , y1) and ( x2 , y2) are the points

So the distance between (-4,4) and (1,0) is

We have the final answer as

Hope this helps you

Answer:

$222

Step-by-step explanation:

Given the following question:

\(t=300\)

s = -26%

In order to find the answer, we have to find 26% of 300 and then subtract that number by the original price to get the new price.

\(\frac{26\times300}{100} =26\times300=7800\div100=78\)

26% discount = $78

\(300-78=222\)

\(t=222\)

Hope this helps.

Answer:

x=-18

Step-by-step explanation:

Answer:

The answer is -18

Step-by-step explanation:

STEP 1:

\(3 \times \frac{2}{3} (x + 6) = 3( - 8)\)

2(x+6) = -24

______________________________________

STEP 2:

Divide both sides by 2:

\( \frac{2(x + 6)}{2} = \frac{ - 24}{2} \)

________________________________

STEP 3:

Simplify:

\(x + 6 = - 12\)

Subtract 6 from both sides:

\(x + 6 - 6 = - 12 - 6\)

________________________________

STEP 4:

\(x = - 18\)

Therefore, your answer is -18.

Ask more questions if you don’t understand! :)

Answer:

its c

Step-by-step explanation:

Answer:

C. 2/3

Step-by-step explanation:

To solve this, we should come up with a common denominator first.

The least common denominator (LCD) of the four fractions would be 120.

So, first multiply each fraction's denominator to get 120, and multiply the numerator by the same amount.

ex. 3/4

4 x 30 = 120

3 x 30 = 90

We get 90/120.

After doing this with each fraction, we get;

13/15 = 104/120

7/8 = 105/120

2/3 = 80/120

3/4 = 90/120

Now, it is easier to see which fraction has the least value (or the one that is the smallest. Your answer is 2/3, since 80/120 is the smallest out of the four.

Answer:

30 Chocolate covered raisins will be in each bag and 5 will be left over.

Step-by-step explanation:

In order to solve this, you must divide the number of Chocolate covered raisins by the number of bags you are making. 185 divided by 6 is 30 with 5 left over.

Step-by-step explanation:

By solving, I am assuming that you want to find the zeros.

So to find what x equals, first, you factor out an x.

3x² - 4x = 0

x(3x - 4) = 0

Here, you can separate the equation into two different equations to solve for x.

Those are your zeros.

And for its graph, you can always look to an online graphing calculator. I used Desmos.

Answer:

The 41st term of the given series is 324

Step-by-step explanation:

a= 4

a2= 12

d= a2-a

d= 12-4 = 8

now, we have to find 41 term that is a41

a41 = a+ 40d

a41= 4+ 40× 8

a41= 4+ 320

= 324

therefore the 41st term is 324

Answer:

324

Step-by-step explanation:

The sequence observed appears to be an arithmetic sequence. The formula for an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term position, and d is the common difference. Let's write down what we know.

n = 41

a1 = 4

d = 8

So, let's plug our values into the equation and solve.

an = 4 + (41 - 1)8

an = 4 + (40)8

an = 4 + 320

an = 324

Answer: The answer is (C.) 11 got it right

Answer:

X is an algebraic variable which has no defind value

Answer:

from largest to smallest

103,1.3(u put this twice?),0.13,0.103

1.03

Hope This Helps!!!

Answer:

B: 4/5 + 3i/5, 4/5 - 3i/5, 3

Step-by-step explanation:

Factor than solve

Answer: s _< 40

Step-by-step explanation:

The correct inequality which represents the situation is,

⇒ s ≤ 40

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

At a state fair, every go-kart goes at most 40 mi/h.

Now, Let s represent the speed of a go-kart.

Hence, The correct inequality which represents the situation is,

⇒ s ≤ 40

Since, Symbol used for at most is, less than or equal to.

Thus, The correct inequality which represents the situation is,

⇒ s ≤ 40

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Answer:

$93 per hour ?

125-405 = 280

280÷3= 93 per hour

Answer:     212  +-  360 n    

Step-by-step explanation: Everytime you go full circle (360 degrees  )    either positive or negative you will land back at the 212 degree mark.

A closed under addition can be proved if the sum of any two members of the set also belongs to the set.

We can take any two even integers and add them together. The result is an even integer. A set is closed under scalar multiplication if the product of any member and a scalar is also in the set. In other words, if x is in S and a is any scalar then ax will be in the set if the set is closed under scalar multiplication. For example, the set of 2 x 2 diagonal matrices is closed under scalar multiplication.

For example,

A = {( x, y) , y = 0 }

B= { (x, y) , x+ y = 1 }

Typical elements of A are (1,0), (2,0). The element (1,1) is an element not in A. Typical elements of B are (1,0), (1/2,1/2). The element (1,1) is an element not in B. Now A and B carry an addition that is  (x, y)+(x', y')=(x + y, x' + y')). Saying that A is closed under addition just means that whenever you take two elements in A, the sum of those elements is again in A. Let's check if this is the case: two elements in A have the form (x, 0) and (x', 0). The sum of those elements is (x + x', 0), and this is again in A. Thus A is closed under addition.

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Answer:

3.21

Step-by-step explanation:

.........................

Step-by-step explanation:

Which of the arcs listed below represents a MAJOR ARC?

D YVW

Answer:

180-45

Step-by-step explanation:

That is, supplementary angles

Answer:

Hi

Step-by-step explanation: