Find the total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years
1 answer:
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Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
If y is inversely proportional to x, then
It is given that u varies directly with the square of p and inversely with d. So,
It can be written as:
Where, k is the constant of proportionality.
Therefore, the required equation is .
Answer:
13.2 years
Step-by-step explanation:
The decay rate is 15%, so the decay factor is 1 - 15% = 0.85. Then the exponential equation for the value is ...
v(t) = 85000·0.85^t
We can set v(t) = 10,000 and solve for t:
10000 = 85000·0.85^t
10000/85000 = 0.85^t . . . . divide by 85000
log(2/17) = t·log(0.85) . . . . . .reduce fraction, take logs
t = log(2/17)/log(0.85) ≈ 13.2
It will take about 13.2 years for the value to fall below $10,000.
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Such a question is nicely answered by a graphing calculator.
Answer:
34.3948
Step-by-step explanation: