<span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.
We require B(n) = 0...i.e. balance of 0 after n months.
so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
Then, with some algebraic juggling we get:
n = -[log(1 - (Ai/P)]/log(1 + i)
Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43
Also, i = (13.6/100)/12 => 0.136/12 per month
i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)
so, n = 4.15 months...i.e. 4 payments + remainder
b) Now we have A = $754.43 - $300 = $454.43 so,
n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)
so, n = 1.54 months...i.e. 1 payment + remainder
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The value of the real life expression is, simple interest = $12.5
<h3>How to simplify this real life expression and show unit analysis?</h3>
The real life expression is given as:
simple interest = ($100) (0.05/year) (2.5 years
Divide 1 year by 1 year
simple interest = ($100) (0.05) (2.5)
Rewrite the equation as a product of factors
simple interest = ($100) * (0.05)* (2.5)
Evaluate the product of 0.05 and 2.5
simple interest = ($100) * 0.125
Evaluate the product of $100 and 0.125
simple interest = $12.5
Hence, the value of the real life expression is, simple interest = $12.5
Read more about expressions at:
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The volume of cone is calculated by the formula
, where H is a height of cone and R is a radius of the bottom.
In your case, R=3 cm and R=7 cm. Then
.
Answer: The volume of candy is 21π.
Answer:
50
Step-by-step explanation:
all your doing is dividing 100 by 20 and u get 50
Answer:
y=-4x-8
Step-by-step explanation: