The students in Mr.Collins class used a surveyor's measuring device to find the angle from their location to the top of a buildi
ng. they also measured their distance from the bottom of the building. the diagrem shows the angle measure and the distance.?
To the nearest foot, what is the height of the bulding?
A. 105 ft
B. 116 ft
C. 32 ft
D. 56 ft
To the nearest foot, what is the height of the bulding?
A. 105 ft
B. 116 ft
C. 32 ft
D. 56 ft
1 answer:
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It takes 10.155 years until you have $3,000 ⇒ 3rd
Step-by-step explanation:
The formula for compound interest, including principal sum is:
, where
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
∵ You decide to put $2,000 in a savings account
∴ P = 2000
∵ You want to save for $3,000
∴ A = 3000
∵ The account has an interest rate of 4% per year and is
compounded monthly
∴ r = 4% = 4 ÷ 100 = 0.04
∴ n = 12 ⇒ compounded monthly
- Substitute all of these values in the formula above to find t
∵
- Divide both sides by 2000
∴
∴
- Change the mixed number to an improper fraction
∴
- Insert ㏒ for both sides
∴
- Remember
∴
- Divide both sides by
∴ 121.84 = 12 t
- Divide both sides by 12
∴ 10.155 = t
It takes 10.155 years until you have $3,000
Learn more:
You can learn more about the compound interest in brainly.com/question/4361464
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