Let the original amount be A. Double that would be 2A.
Then, 2A = Ae^(r*5), or 2 = e^(5r).
Taking the natural log of both sides: ln 2 = 5r. Then r = (ln 2)/5 = 0.14
The interest rate would have to be 13.86% per year, written here as r=0.14.
Answer:
A worked 20 hours and B worked 15 hours.
Step-by-step explanation:
Given:
Mechanic A hourly rate = $55
Mechanic B hourly rate = $45
Total charged = $1775
Let's assume Mechanic A worked 'A' amount of hours and Mechanic B worked 'B' amount of hours, then
Step 1:
First equation: A + B = 35
Second equation: 55xA + 45xB = 1775
Step 2:
First equation can be written as: A = 35 - B
Step 3: Replace value of A in second equation
Second equation: 55x(35-B) + 45B = 1775
: 1925 - 55B + 45B = 1775
: (1925 - 1775 )/10 = B
: B = 15 hours
A worked = 35 - 15
= 20 hours
Answer:
$3425
Step-by-step explanation:
5% of $68500 is $3425
Answer:
Step-by-step explanation:
Y-3=1/4(X-1)
Y-3=1/4X-1/4
Y=1/4X+11/4
