9514 1404 393
Answer:
- 10,247.38 from continuous compounding
- 10,228.50 from semiannual compounding
- continuous compounding earns more
Step-by-step explanation:
The formula for the account balance from continuously compounded interest at annual rate r for t years is ...
A = Pe^(rt) . . . . P = principal invested
A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding
__
The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...
A = P(1 +r/2)^(2t)
A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding
Continuous compounding earns more.
Answer:
area of a triangle is 1/2bh
1/2 X 15 x 9 = 67.5 square feet
Step-by-step explanation:
Answer:
41 or 47
Explanation:
First, list all the prime numbers from 40 to 60.
They are 41, 43, 47, 53 and 59.
It says the difference between each digit is 3, so we have to subtract the smaller digit from the larger digit in our list of prime numbers above.
4-1=3
4-3=1
7-4=3
5-3=2
9-5=4
Both 41 and 47 have a difference of 3 between their digits. So your answer is 41 or 47.
Hope this helped you!
Answer: The dimensions of rectangle are 32 feet and 16 feet.
Step-by-step explanation:
Let the width of rectangle be 'x'.
Let the length of rectangle be '2x'.
Perimeter of fence = 96 feet
As we know the formula for "Perimeter":

Hence, the length of rectangle is 2x=2×16 = 32 feet and width is 16 feet.
Therefore, the dimensions of rectangle are 32 feet and 16 feet.