Please show the work/explain. I need to write it down.
1 answer:
9514 1404 393
Answer:
- 20 months
- $5500
Step-by-step explanation:
There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.
at dealer 1, the total amount paid (y) will be a function of months (x):
y = 2500 +150x
at dealer 2, the corresponding equation is ...
y = 3000 +125x
These are equal when ...
y = y
2500 +150x = 3000 +125x
25x = 500 . . . . . . . . . subtract 125x +2500 from both sides
x = 500/25 = 20
The total paid will be the same after 20 months.
That amount is ...
y = 2500 +150(20) = 5500
$5500 will be paid to either dealer after 20 months.
__
The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...
25x = 500 . . . . . . . . . you may recognize this equation from above
x = 500/25 = 20
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Answer:
1. CI = P (1 + )^ n - P
CI = A - P
Where P is Principal
R is interest rate
n is number of years
2. a. Semi annually - four times in a year
b. Monthly - two times in a year
c. annually - once in a year
Step-by-step explanation:
1. Money is said to be lent at compound interest , when the interest has become due at certain fixed period say, one year, half year, etc.., is given not paid to money lender, but is added to sum lent . The amount thus obtained become principal for next month and this process repeat until last period .
i.e CI = Final period - Initial period
or CI = A - P
or CI = P(1+ ) ^n - P
2. (a) Semi annually
A = P (1 + )^ n × 4
(b) Monthly
A = P (1 + ) ^ n × 2
(c) Annually
A = P (1 + ) ^ n