The height of the flagpole is: 12 ft.
<h2>Step-by-step explanation:</h2>Let the height of the flagpole be: x ft.
Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet
and one of the leg of the right triangle is: 16 feet
Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.
i.e.
But the height can't be negative.
Hence, we get:
Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is
Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get
So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30