5 pounds= 80 ounces
total cost= ($0.44×1)+($0.20×79)=$16.24
Answer: the total lifetime cost for the loan is $11616.4
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total cost of the loan at the end of t years.
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed.
From the information given,
P = $5,500
r = 7.5% = 7.5/100 = 0.075
n = 12 because it was compounded 12 times in a year.
t = 10 years
Therefore,
A = 5500(1 + 0.075/12)^12 × 10
A = 5500(1 + 0.00625)^120
A = 5500(1.00625)^120
A = $11616.4
Answer:
The new volume is 7^3 or 343 times the old volume
Step-by-step explanation:
The original sphere has a volume of
V = 4/3 pi r^3
The radius is multiplied by 7
The new volume is
V = 4/3 pi (7r) ^3
V = 4/3 pi (7)^3 r^3
The new volume is 7^3 or 343 times the old volume
When an exponent is a fraction, the denominator is written as a root, while the numerator is the power:
Since a is to the power of 5/7, the 7 becomes the 7th root, and the 5 becomes a^5. This is:
7th root of (a^5), or(B).
