<span>Simplifying
b4 = 9
Solving
b4 = 9
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Simplifying
b4 = 9
Reorder the terms:
-9 + b4 = 9 + -9
Combine like terms: 9 + -9 = 0
-9 + b4 = 0
Factor a difference between two squares.
(3 + b2)(-3 + b2) = 0</span>
Answer:
0.02375
Step-by-step explanation:
sana po nakatulong☺
First find the total payments
Total paid
200×30=6,000 (this is the future value)
Second use the formula of the future value of annuity ordinary to find the monthly payment.
The formula is
Fv=pmt [(1+r/k)^(n)-1)÷(r/k)]
We need to solve for pmt
PMT=Fv÷[(1+r/k)^(n)-1)÷(r/k)]
PMT monthly payment?
Fv future value 6000
R interest rate 0.09
K compounded monthly 12
N=kt=12×(30months/12months)=30
PMT=6000÷(((1+0.09÷12)^(30)
−1)÷(0.09÷12))
=179.09 (this is the monthly payment)
Now use the formula of the present value of annuity ordinary to find the amount of his loan.
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
Pv present value or the amount of his loan?
PMT monthly payment 179.09
R interest rate 0.09
N 30
K compounded monthly 12
Pv=179.09×((1−(1+0.09÷12)^(
−30))÷(0.09÷12))
=4,795.15
The answer is 4795.15
An inequality to model this would be
7x + 8y ≥ 336.
We multiply the number of minutes running, x, by the number of calories burned each minute by running, 7. We multiply the number of minutes swimming, y, by the number of calories burned each minute by swimming, 8. Adding these together, it needs to be greater than or equal to 336, since she wants to burn at least that many calories.
