Answer:
FV= 1,000*(1.12^n)
Step-by-step explanation:
Giving the following information:
Initial investment= $1,000
Increase rate= 12% = 0.12
We need to formulate an exponential equation to show the value in n years.
<u>To calculate the Future Value, we need to use the following formula:</u>
FV= PV*(1+i)^n
Being:
FV= Future Value
PV= Initial Investment
i= increase rate
n= number of periods
FV= 1,000*(1.12^n)
<u>For example, for one year:</u>
FV= 1,000*(1.12^1)
FV= $1,120
For 3 years:
FV= 1,000*(1.12^3)
FV= $1,404.93
Answer:
<h3>
It's about 365 cm²</h3>
Step-by-step explanation:
2×πr² + 2πr×h =
= 2×π×4² + 2π×4×10.5 =
= 32π + 84π =
= 116π ≈
≈ 364.42 cm²
Answer: We can use tangent here to find the length of the flagpole
First, find the length of the building + the flag pole
tan 32 = x/300
x=300tan32=187.460805573
(length of building + flagpole)
find length of building
tan 30 = x/300
x=173.205080757
subtract
187.460805573-173.205080757=14.255724816
round, length of flagpole = 14 feet
Answer:
The answer is A,C, and D
Step-by-step explanation:
Answer:

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.
Step-by-step explanation:
For this case since we know that the interest is compounded continuously, then we can use the following formula:

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.
For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means
and we want to find the value for t.

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.