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Alecsey [184]
3 years ago
14

Suppose that ​$17,183 is invested at an interest rate of 5.4​% per​ year, compounded continuously. ​a) Find the exponential func

tion that describes the amount in the account after time​ t, in years. ​b) What is the balance after 1​ year? 2​ years? 5​ years? 10​ years? ​c) What is the doubling​ time?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer:

Total = Principal * e ^ (rate * years)

Total = 17,183 * 2.718281828459 ^ (.054 * years)

After 1 year = 18,136.39

After 2 years = 19,142.68

After 5 years = 22,509.12

After 10 years = 29,486.15

We'll use this formula to find the doubling time:

Years = ln (total / principal) / rate

we'll use 200 for total and 100 for principal

Years = ln (200 / 100) / rate

Years = ln (2) / .054

Years = 0.69314718056 / .054

Years = 12.8360588993  Years Doubling Time

Step-by-step explanation:

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Must include explanation !!
stich3 [128]

Answer:

18.2 feet^3 of water

Step-by-step explanation:

First let's find 80% of the full capacity, which is 24. To do that, multiply 24 x 0.8, which is 19.2.

Now how much space to the fish take up? There are 8 fish, and each one takes up 1.5 cubic INCHES. 8 x 1.5 = 12 cubic inches, but we need cubic feet. Luckily, there are 12 inches in 1 foot so it'll be a clean and simple 1 foot. The "cubic" part only shows that we're measuring volume.

The 80% capacity - fish capacity = how much water is needed. That will be 19.2 - 1 = 18.2

That's it! Hopefully this helped!

7 0
3 years ago
7.935 x 10 to negative 5 power
Effectus [21]

Answer:

0.00007935

Step-by-step explanation:

7.935 x 10 to negative 5 power can be written as:

7.935 x 10^(-5)

7.935*10^{-5}\\\frac{7.935}{10^5}

A trick to finding 10 to the x power, x is the number of 0's. So 10^5 = 100000

\frac{7.935}{100000}\\

When dividing by tens, move the decimal to the left by the amount of 0's

So our answer is 0.00007935

5 0
4 years ago
(2.0x10^4)(3.0x10^3)
krok68 [10]
<span>(2.0x10^4)(3.0x10^3)
= ( 2 x 3)( 10^4 x 10^3)
= 6 x 10^7

hope it helps</span>
4 0
3 years ago
If the figure is reflected over the line y=x, which rule is true
saveliy_v [14]

Answer:

These reflected points represent the inverse function

Step-by-step explanation:

This is just one of the rules that are true.

8 0
3 years ago
Lin is a camp counselor. She is making small bags of trail mix for campers to take on a hike . She has 2 pounds of raisins and i
charle [14.2K]

Answer:

16 bags

Step-by-step explanation:

To find this, we <em>divide 2 over 1/8</em>, to see how many <em>units of 1/8 fits into that of 2</em>.

\frac{2}{\frac{1}{8} } can be rewritten as <em>2*8</em>. 2*8 = 16 bags.

5 0
3 years ago
Read 2 more answers
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