Use the given values in the compound interest formula to solve for time, n.
A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.
2800 = 1900(1 + 0.025)^n
2800 = 1900(1.025)^n
2800/1900 = (1.025)^n
28/19 = (1.025)^n
take the natural log of both sides to solve for exponent.
ln(28/19) = ln(1.025^n)
power rule of logarithmic moves exponent
ln(28/19) = n*ln(1.025)
ln(28/19) / ln(1.025) = n
put into a calculator
15.7 years = n
Answer:
110 yards of string
Step-by-step explanation:
Converting the feet of the string of 1 balloon to yard
1 foot = 1/3 yard
6 feet = x
x = 6 × 1/3 yard
x = 2 yard
Hence 1 balloon uses 2 yard of string
Since:
1 balloon = 2 yard of string
55 ballons = x
x = 55 × 2 yard of string
x = 110 yards of string
Hence, for 55 balloons he would need 110 yards of string.
Answer:
-8(3x-2y)
Step-by-step explanation:
Factor out each number because 8 times 3 equals 24
And -2 times -8 is 16
Answer:
11/12
Step-by-step explanation:
(1 1/10)/(1 1/5) = 1.1/1.2 = 11/12
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You can also work this using improper fractions:
(1 1/10)/(1 1/5) = (11/10)/(6/5) = 11/10×5/6 = (11×5)/(6×10)
= (11×5)/(6×2×5) = 11/(6×2) = 11/12
