A =
5 and -5
-1 and 3
¹/₃B =
-6 and 12
-7 and 7
¹/₃B + A =
-1 and 7
-8 and 10
9514 1404 393
Answer:
14.1 years
Step-by-step explanation:
Use the compound interest formula and solve for t. Logarithms are involved.
A = P(1 +r/n)^(nt)
amount when P is invested for t years at annual rate r compounded n times per year.
Using the given values, we have ...
13060 = 8800(1 +0.028/365)^(365t)
13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800
Now we take logarithms to make this a linear equation.
log(13060/8800) = (365t)log(1 +0.028/365)
Dividing by the coefficient of t gives us ...
t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598
t ≈ 14.1
It would take about 14.1 years for the value to reach $13,060.
Answer:
The rate is 0.9 gallon per minute
Step-by-step explanation:
Here, we have 4.5 gallons drained in 5 minutes but we are interested in calculating the rate per minute
Let the amount drained per minute be x
4.5 gallons = 5 minutes
x gallon = 1 minute
Let’s cross multiply;
x * 5 = 4.5 * 1
5x = 4.5
x = 4.5/5
x = 0.9 gallons
50 over 360 * 7.2*pi = 3.14159...
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