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sveta [45]
2 years ago
9

A principal amount of $4,700 is deposited into an account paying interest at a rate of 3%, continuously compounded. What will be

the account balance after 3 years?
A. $5,142.62
B. $5,882.09
C. $6,430.29
D. $8,010.51
Mathematics
1 answer:
Ronch [10]2 years ago
8 0

The account balance after 3 years if the interest is compounded continuously is $5,142.62

<h3>How to find compound interest?</h3>

  • Principal, P = $4,700
  • Time,t = 3 years
  • Interest rate, r = 3%

r = 3/100

r = 0.03 rate per year,

A = Pe^rt

A = 4,700.00(2.71828)^(0.03)(3)

= 12,775.916^0.09

A = $5,142.62

Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62

Learn more about compound interest:

brainly.com/question/24924853

#SPJ1

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You are preparing a community garden with your youth group to have enough room for the spots for all the people who already sign
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Answer:

<u>92 feet.</u>

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

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What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

<u>Let width</u> = x

Then,<u> length </u>will be = x+22

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = 2(length+width)

324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\

Subtracting both sides by 44

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Dividing both sides by 4

70=x

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The length of a rectangle is 4 more than it's width. Write an equation that will determine the dimensions if the area of the rec
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Answer: The equation is W^2 + 4W - 96= 0

{Please note that ^2 means raised to the power of 2}

Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.

That is,

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Remember that the area of a rectangle is given as

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In this question, the Area is expressed as

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Subtract 96 from both sides of the equation and we have

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