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3 years ago

Find the value of an investment of $15,000 for 13 years at an annual interest rate of 4.55% compounded continuously.

Mathematics

1 answer:

atroni [7]3 years ago

4 0

Answer:

A = $27100.5

Step-by-step explanation:

We are given;

Principal: P = $15,000

Interest rate: r = 4.55% = 0.0455

Time in years: t = 13 years

The formula for the value of the investment after t years of continuous compounding is;

A = P(e^(rt))

A = 15000(e^(0.0455 × 13))

A = 15000 × 1.8067

A = $27100.5

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What is the dependent variable in the graph below? a. month of the year b. days of snow fall c. time d. amount of snowfall PICTU

Lady_Fox [76]

Answer:

Days of snowfall

Step-by-step explanation:

the y- axis

5 0

3 years ago

Help please!! What is the slope of the line? A. -5/2 B.2/5 C. 5/2 D.7/2

pishuonlain [190]

Answer:

it is 6/2

Step-by-step explanation:

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3 0

3 years ago

Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph

nadya68 [22]

Answer:

D) 360

Step-by-step explanation:

The data Kyle collected is (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.

We can write a linear function to model this situation.

This will be of the form

$y = mx$

because it passes through the origin , where m is the slope.

The slope is

$m = \frac{12 - 0}{1 - 0} = 12$

Hence the equation is

$y = 12x$

To find the number of likes on the 30th day, we put x=30 into the equation to get:

$y = 12 \times 30 = 360$

The correct choice is D

5 0

3 years ago

The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got

Umnica [9.8K]

Answer:

16 students got an A

Step-by-step explanation:

Set up an equation to compare the ratio to the scores:

$\frac{2}{5} = \frac{x}{40}$

Cross multiply:

80 = 5x

Divide each side by 5:

x = 16

Now, check if $\frac{16}{40} = \frac{2}{5}$

16/8 = 2

40/8 = 5

The ratios are the same! Therefore, 16 students got an A!

Hope this helps! Feel free to contact me if you have any questions :)

7 0

3 years ago

Read 2 more answers

A Triangle has an area of 36cm^2. The base and height are scaled by a factor of 5. What is the area of the resulting triangle?

Finger [1]

Answer:

Area of resulting triangle will be 900 $cm^2$ .

Step-by-step explanation:

When sides of any polygon if scaled by a factor of k

then area is scaled by $k^2$

According to the above statement

therefore here in the question since area of original triangle was 36 $cm^2$

and both base and height are scaled by a factor of 5.

therefore area of scaled triangle will be $5^2$ times of the original

that is 25 x 36 which gives 900 $cm^2$

So area of resulting triangle will be 900 $cm^2$

7 0

3 years ago