Answer:
16 1/4 years
Step-by-step explanation:
Assuming interest is compounded annually, the account balance (A) after t years will be ...
A = P(1 +r)^t
3200 = 1700·1.0397^t
log(3200) = log(1700) +t·log(1.0397)
t = (log(3200) -log(1700))/log(1.0397) ≈ 16.247
The account will reach a balance of $3200 after about 16 1/4 years.
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You may be asked to round your answer to the nearest integer or tenth. We leave that exercise to the student.
Answer:
x = 60
Step-by-step explanation:
We have, 45% • x = 27
or,
45
/100 • x = 27
Multiplying both sides by 100 and dividing both sides by 45,
we have x = 27 • 100/
45
x = 60
Answer:
37.7 mi²/h
Step-by-step explanation:
The area formula is ...
A = πr²
Differentiating with respect to time gives ...
dA/dt = 2πr·dr/dt
Filling in the given values, we have ...
dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h
The area is increasing at the rate of about 37.7 mi² per hour.
Answer:
p ≥ -12
Step-by-step explanation:
Original Equation:
p + 14 ≥ 2
Subtract 14 from both sides
p ≥ -12
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