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algol [13]
2 years ago
7

Jennifer invested $400 at 6% interest compounded continuously. Write a model m(t) that represents the money in Jennifer's accoun

t in t years. A. B. How much money is in Jennifer's account after 5 years? Round to the nearest cent. C. Approximately when will Jennifer have $800 in her account? Round to the nearest tenth of a year.
Mathematics
1 answer:
ra1l [238]2 years ago
7 0

Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years

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Anastaziya [24]

we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

<h3>How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m.?</h3>

We know that at 8:00 a.m. there were t inches of snow in the ground.

At 5:00 p.m. there were 3t inches of snow in the ground.

Then the difference between the heights of the snow is:

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And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:

3t = 12in

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From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

If you want to learn more about linear equations:

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3 0
2 years ago
1 Katherine can run the perimeter of Kiker Park in
Vlad1618 [11]

The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

According to the statement

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From the given information:

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5 0
1 year ago
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IRISSAK [1]
The answer is 8 lol
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3 years ago
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Reptile [31]

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3 0
2 years ago
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mixer [17]

Answer:

B) Multiplying by 0

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5 0
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