An investment of $4000 is deposited into an account in which interest is compounded continuously. complete the table by filling in the amounts to which the investment grows at the indicated interest rates. (round your answers to the nearest cent.)
t = 4 years

Answer:

A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5

L=1

Step-by-step explanation:

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Answer:

x = 45

Step-by-step explanation:

Each corner of the square is a right angle measuring 90 degrees.

x + 45 = 90

x = 45

Answer:

1,022.83 ft³

Step-by-step explanation:

volume= ⅓×½××19×17×19 = 1,022.83 ft³

It would take approximately 6 minutes to travel through the thickest oceanic crust at a speed of 100 km/hr.

To determine the time it would take to travel through the thickest oceanic crust at a speed of 100 km/hr, we need to know the thickness of the oceanic crust.

The oceanic crust is the outermost layer of the ocean floor and is generally thinner than the continental crust. On average, the thickness of the oceanic crust ranges from 5 to 10 kilometers (km). However, the thickness can vary depending on the specific location and geological factors.

Assuming we consider the thickest part of the oceanic crust, which could be up to 10 km thick, we can calculate the time it would take to travel through it at a speed of 100 km/hr.

Using the formula Time = Distance / Speed, we can determine the time as follows:

Time = (Thickness of Oceanic Crust) / (Speed)

Time = 10 km / 100 km/hr = 0.1 hr

Converting 0.1 hour to minutes, we have:

Time = 0.1 hr * 60 min/hr = 6 minutes

The correct answer is D. 6 minutes. This calculation is based on the assumption that we are considering the thickest part of the oceanic crust, which is approximately 10 km thick. It's important to note that the actual thickness of the oceanic crust can vary, and the time required would depend on the specific thickness encountered during the journey.

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John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.

Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:

Total HST collected from Sales= HST Rate x Amount before HST Sales

Total HST collected from Sales= 13% x $150,000

Total HST collected from Sales= $19,500

Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.

Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)

Total HST paid on purchases= 13% x ($96,000 + $83,000)

Total HST paid on purchases= $19,790

Let's calculate the net HST payable or refund:

Net HST payable/refund = Total HST collected from sales - Total ITCs

Net HST payable/refund = $19,500 - $19,790Net HST payable/refund

= -$290 Since the Net HST payable/refund is negative,

it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.

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Full Question:

The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional  $1.35.

Which equation shows the  relationship between the number of posters, n, and the total cost, c, in dollars?

Answer:

\(C = 15 + 1.35n\)

Step-by-step explanation:

Given

\(Base\ Charge = \$15\)

\(Cost\ per\ print = \$1.35\)

Required

Determine an equation to calculate the total cost

First, we need to determine the cost of n posters;

If 1 poster costs $1.35, then

\(n\ posters = n * 1.35\)

\(n\ posters = 1.35n\)

Next, add the cost of n posters to the base charge. This gives total cost (C)

\(C = Base\ Charge + n\ posters\)

\(C = 15 + 1.35n\)

Answer:  

I Did The Test And The Correct Answer is that c will equal to 1.35n + 15

It Is 1.35n + 15

The largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.

In a convex pentagon, the sum of all interior angles is equal to 540 degrees. Therefore, we can write the following equation:
$$x+2x+3x+4x+5x-1=540$$
Simplifying the equation, we get:
$$15x-1=540$$
$$15x=541$$
$$x=36.07$$
Now that we know the value of x, we can find the measure of each angle:
$1^{st}$ angle: $x=36.07$ degrees
$2^{nd}$ angle: $2x=72.14$ degrees
$3^{rd}$ angle: $3x=108.21$ degrees
$4^{th}$ angle: $4x=144.28$ degrees
$5^{th}$ angle: $5x-1=179.33$ degrees

Therefore, the largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.
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The probability is 0.357

Given that,

The system has at least one type of defect,

Suppose, A certain system can experience three different types of defects.

Let  (i = 1,2,3) denote the event that the system has a defect of type i.

Suppose that the following probabilities are,

P(A1)=0.11

P(A2)=0.08

P(A3)=0.05

P(A1UA2)=0.13

P(A1UA3)=0.13

P(A2UA3)=0.11

P(A1nA2nA3)=0.01

P(A1nA2)=0.06

P(A1nA3)=0.03

P(A2nA3)=0.02

P(A1UA2UA3)=0.14

P= P(A1) + P(A2) + P(A3) - 2P(A1UA2) - 2P(A1UA3) - 2P(A2UA3) +       3P(A1nA2nA3) / P(A1UA2UA3)

P= 0.11 + 0.08 + 0.05 -2*0.06 -2*0.03 -2*0.02 +3*0.01 / 0.14

P=0.357

Hence, the probability is 0.357

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We need to calculate the probability that it has exactly one type of defect

Using given data

+ +

P =

Put the value into the formula

Hence, The probability is 0.357

The area of the regular pentagon is 252.7m²

The formula that is used for calculating the area of a regular pentagon is expressed with the equation;

A = 5/2 x s x a

where the parameters are;

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

apothem,a = s/2 tan (180/n)

Substitute the values

Apothem, a = 7.6/2 tan 16

a = 7.6/0.57 = 13.3m

Substitute the values, we get;

Area = 5/2 × 7.6 × 13.3

Multiply the values, we have;

Area = 505. 4/2

Divide the values, we get;

Area = 252.7 m²

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Answer:

the answer is D) 8

Step-by-step explanation:

because when ½ inch × 8 it will become 4 inch

Answer:

(2,-7)

Step-by-step explanation

0x,3y         1x,-2y         (2,-7)

                Midpoint

the midpoint is +1x -5y so you would do this again to the midpoint so +1x=2x and -5y= -7 making it (2,-7)

Answer:

Step-by-step explanation:

make the whole number into fraction, by copying the denominator of the fraction

so that will be 8 into 8/8

8/8- 3/8= since same of denominator , subtract the numerator , 8 minus 3 is 5 and copy the denominator since both denominator is same, so the answer will be 5/8

Answer:

Step-by-step explanation:

Answer:

\(\sf \dfrac{1}{21}\)

Step-by-step explanation:

\(\textsf{To calculate}-\dfrac{2}{7}+\dfrac{1}{3}, \: \textsf{ first make the denominators the same}.\)

\(\textsf{Adjust the fractions based on their lowest common multiplier}:\)

\(\implies -\dfrac{2}{7} \cdot \dfrac{3}{3} + \dfrac{1}{3} \cdot \dfrac{7}{7}\)

\(\implies -\dfrac{2 \cdot 3}{7 \cdot 3} + \dfrac{1 \cdot 7}{3 \cdot 7}\)

\(\implies -\dfrac{6}{21}+\dfrac{7}{21}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:\)

\(\implies \dfrac{-6+7}{21}\)

\(\textsf{Add the numbers of the numerator}:\)

\(\implies \dfrac{1}{21}\)

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The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

  so that, tan 52 = 45/x

  x = 45/tan52

  x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

 tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

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The decimal expression for 9945/6444000 is 0.001543296...

To obtain it, follow this steps:

First, write both numbers in this arrangement:

Notice where the decimal point is placed.

Next, pick digits from the number 9945 from left to right until you have

that you

The exponential function that passes through the points (-3, 2/27) and (2, 18) can be represented as y = ab^x, where a is the initial value or y-intercept, and b is the base of the exponential function.

The formula for the exponential function that satisfies the given conditions is y = ab^x, with the specific values to be determined using the given points (-3, 2/27) and (2, 18).  The exponential function can be represented by the formula y = ab^x, where a is the initial value or y-intercept, and b is the base of the exponential function. The summary also mentions that the specific values for a and b can be determined using the given points (-3, 2/27) and (2, 18). By plugging in these points into the equation, a system of equations can be formed, allowing us to solve for a and b. Once the values of a and b are determined, the complete formula for the exponential function passing through the given points can be obtained.

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Answer:

Number of ways to chose bracelet = 2 ways

Step-by-step explanation:

Given:

Total number of bracelet = 3

Y is chosen first

Find:

Number of ways to chose bracelet

Computation:

Y is chosen first so remain number of bracelet is 2

So,

Number of ways to chose bracelet = !2

Number of ways to chose bracelet = 2 × 1

Number of ways to chose bracelet = 2 ways

The proper placement for parentheses to speed up the addition for the expression is (4+6)+5 The correct answer is A.

To speed up the addition for the expression 4+6+5, we can use the associative property of addition, which states that the grouping of numbers being added does not affect the result.

In this case, we can add the numbers from left to right or from right to left without changing the result. However, to speed up the addition, we can group the numbers that are closest together first.

Therefore, the proper placement for parentheses to speed up the addition is:

A. (4+6)+5

By grouping 4+6 first, we can quickly calculate the sum as 10, and then add 5 to get the final result.

So, the correct answer is option A. (4+6)+5

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f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The line passing through two points that are

Part (a)

The formula for the slope of a line is given below

Therefore, the slope of the line is 1/4.

Part (b)

The point-slope form of a line given by the formula

Substitute the values and find the equation of the line as follows

Part (c)

The slope-intercept form of a line has the general form of

Now, manipulate the equation in part (b) to convert it into the above form as follows

Answer:B = 18,  A = B + 23 = 18+23 = 41.

Step-by-step explanation:Last year . . .  

   A = 2B + 5     (1)

The number . . .  

   A = B + 23.    (2)

Equations (1) and (2) have the same left sides --- hence, their right sides are equal :

   2B + 5 = B + 23.

It implies

   2B - B = 23 - 5

    B     = 18.

ANSWER.  B = 18,  A = B + 23 = 18+23 = 41.

Answer:

x + 10 = 24

Step-by-step explanation:

In the figure attached,

There are two external points A and B.

Fro point A two tangents AD and AE have been drawn and From point B tangents BE and BC have been drawn.

Since AD = 10 units,

Therefore, AE = 10 units

(Since tangents drawn from a point to a circle are same in measure, therefore, AD = AE)

Therefore,

BE = AB - AE

Since BE = BC

So BC = AB - AE

       x = 24 - 10

x + 10 = 24

Therefore, (x + 10) = 24 will be the equation to be used to solve for x.

Answer:

11+x because the equation is reversabel.

Step-by-step explanation:

Answer:

92kg is about 202.8 lbs

Step-by-step explanation:

The value of 92 in kg to lbs is 202.8 lbs

What is Kilo gram ?

Kilo gram can be defined as follows , one kilo gram is equals to thousand grams or one gram is equal to reciprocal of thousand.

Given ,

to find 92 in kg to lbs

So, we know that,

1 kg = 2.204

So, here for 92 kg

we need to multiply with 2.204

we get,

92 kg = 92 * 2.204

= 202.8

So, 92 kg = 202.8 lbs.

Therefore, the value of 92 in kg to lbs is 202.8 lbs

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To round intermediate calculations and final answers to 2 decimal places, use the following steps:

1. Identify the number that needs to be rounded.

2. Look at the digit in the third decimal place.

3. If the digit is 5 or greater, round up the previous digit. If the digit is 4 or less, leave the previous digit as it is.

When performing calculations or obtaining results that involve decimal numbers, it is often necessary to round the values to a certain number of decimal places. In this case, we want to round the numbers 130,452.45 and 106,343.98 to 2 decimal places.

To achieve this, we focus on the third decimal place of each number. For 130,452.45, the digit in the third decimal place is 4, which is less than 5. Therefore, we leave the previous digit (2) unchanged, resulting in the rounded value of 130,452.45.

For 106,343.98, the digit in the third decimal place is 9, which is 5 or greater. In this case, we round up the previous digit (3) by adding 1, resulting in 106,344.00 when rounded to 2 decimal places.

Rounding to 2 decimal places ensures that the numbers are presented with a specified level of precision. It is important to follow consistent rounding rules to maintain accuracy and avoid misleading interpretations of the data.

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Answer:

No answer i can provide

Step-by-step explanation:

If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.

Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.

Hope this helps!

Answer:

line is y = 1

Step-by-step explanation:

the question is talking about loci, in this case 2 point

these 2 points are (3,-2) and (3,4)

draw a line to connect these to points and bisect the line.

to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .

then draw another arc at the sencond point

were the 2 arcs meet draw a line - this straight line will be the answer.

y = 1