Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equat
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The amount you should deposit is $4709.18
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 in 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 want to have $5000 in your savings account in 2 years
∴ A = 5000
∴ t = 2
∵ The account pays 3% annual interest, compounded monthly
∴ r = 3% = 3 ÷ 100 = 0.03
∴ n = 12 ⇒ compounded monthly
- Substitute these values in the formula above
∴
∴
∴
- Divide both sides by
∴ P = 4709.18
The amount you should deposit is $4709.18
Learn more:
You can learn more about the compounded interest in brainly.com/question/2514241
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<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>
Step-by-step explanation:
Total distance to sea bed = 127 m
Let the distance traveled in air be s.
Distance traveled in water = 127 - s
Average velocity in air = 16 m/s
Average velocity in water = 3 m/s
Distance traveled in air = Average velocity in air x Time in air
s = 16 x t₁
Distance traveled in water = Average velocity in water x Time in water
127-s = 3 x t₂
We have total time is 12 seconds
That is
t₁ + t₂ = 12
We have
s = 16 x t₁
112 = 16 x t₁
t₁ = 7 s
t₁ + t₂ = 12
7 + t₂ = 12
t₂ = 5 s
The stone fall in air for 7 seconds and fall in water for 5 seconds.