Answer:
439.82cm
Step-by-step explanation:
2/10 which reduce to 1/5, so Maggie is buying 1/5 of the cake. 1/2-3/10=2/10. The 1/2 will be 5/10, so 5/10-3/10=2/10.
I hope this is right!
The monthly payment is; $104.9; The total amount paid over the term of the loan is; $31470
<h3>How to calculate APR?</h3>
We are given;
Loan principal = $12,500
Interest rate = 12%
Number of payments per year = 12 payments per year.
Loan term = 25 years.
Formula for monthly payment is;
PMT = (p * APR/n)/[1 - (1 + APR/n)^(-nY)]
Where;
p is principal
APR is interest rate
n is number of payments per year
Y is loan term
Thus;
PMT = (12500 * 0.09/12)/[1 - (1 + 0.09/12)^(-12 * 25)]
PMT = 93.75/(1 - 0.106288)
PMT = $104.9
B) Total amount paid over the loan term is;
A = PMT * m * n
where;
m is number of months in a year,
n is number of years
A = 104.9 * 12 * 25
A = $31470
C) The principal as a percentage of the loan is;
P/A = 12500/31470
P/A = 39.72%
Percentage paid for interest is = 100% - 39.72% = 80.28%
Read more about APR at; brainly.com/question/24703884
#SPJ1
Answer: -3(x^2 + 1)(x-5)
Explanation: -3x^3 + 15x+3x -15
Factor by grouping: -3x^2(x-5) +3(x-5)
Combine: (-3x^2 +3)(x-5)
Factor by GCF: -3(x^2 +1)(x-5)
Set equal to zero: (x^2 +1)=0
(x+5)=0
Solve: x=5, x=square root of 1
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
Surface area decreases at a rate of 3 cm2/min
This means that 
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is 
when 
. So
The diameter decreases at a rate of 0.053 cm/min.
