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pshichka [43]
3 years ago
9

A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

After 6 years the investment is $5555.88

Step-by-step explanation:

A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

The formula used to find future value is:

A(t)=P(1+\frac{r}{n})^{nt}

where A(t) = Accumulated amount

P = Principal Amount

r = annual rate

t= time

n=  compounding periods per year

We are given:

P = $3600

r = 7.5 %

t = 6

n = 1

Putting values in formula:

A(t)=P(1+\frac{r}{n})^{nt}\\A(t)=3600(1+\frac{0.075}{1})^{6*1}\\A(t)=3600(\frac{1.075}{1})^6\\A(t)=3600(1.075)^6\\A(t)=3600(1.543)\\A(t)=5555.88

So, After 6 years the investment is $5555.88

Keywords: Compound Interest formula

Learn more about Compound Interest formula at:

  • brainly.com/question/4361464
  • brainly.com/question/12773544
  • brainly.com/question/2869849

#learnwithBrainly

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eimsori [14]
First we need to find k ( rate of growth)
The formula is
A=p e^kt
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E constant
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T time 5 hours
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Solve for k
4800/4000=e^5k
Take the log for both sides
Log (4800/4000)=5k×log (e)
5k=log (4800/4000)÷log (e)
K=(log(4,800÷4,000)÷log(e))÷5
k=0.03646

Now use the formula again to find how bacteria will be present after 15 Hours
A=p e^kt
A ?
P 4000
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E constant
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Plug in the formula
A=4,000×e^(0.03646×15)
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Hope it helps!
4 0
3 years ago
Read 2 more answers
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Andre45 [30]

Answer: $28,752

Explanation:

The<u> definition of bimonthly</u> is an event that happens once in two months. -bi represents "two", while -monthly represents "event that happens by month.

Given that Glenda receives a salary of <u>$4,792 bi-monthly</u>, we are required to find the earnings per year.

There are <u>12 months in each year</u>, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

12/2=6

Finally, we shall <u>multiply the total number with the salary</u>, which will be $4,792 times 6.

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Hope this helps!! :)

Please let me know if you have any questions

3 0
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The answer is C. and E.
--
Work shown below:
A. 500 divided by 6 equals 83.33.
B. 600 divided by 3 equals 200.
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D. 150 divided by 5 equals 30.
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7 0
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What’s the slope of -2,2 and 4,-10
uysha [10]
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Answer:

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