Answer:
The balance after four years is $1129.27
Step-by-step explanation:
The formula for compound interest, including principal sum, is
- A = the future value of the investment/loan, including interest
- P = the principal investment amount (the initial deposit or loan amount)
- r = the annual interest rate (decimal)
- n = the number of times that interest is compounded per unit t
- t = the time the money is invested or borrowed for
∵ $800 is deposited in an account
∴ P = 800
∵ The account pays 9% annual interest
∴ r = 9% = 9 ÷ 100 = 0.09
∵ The interest is compounded annually
∴ n = 1
∵ The time is 4 years
∴ t = 4
- Substitute the values of P, r, n, and t in the formula above
∵
∴
∴ A = 1129.265
∴ The balance after four years is $1129.27
Answer:
x≥4
Step-by-step explanation:
We want to solve for x in
Let us add 3 to both sides:
We simplify to get:
Divide through by 2 to get:
Answer:
The value after three years is $137,027.97
Step-by-step explanation:
Here, we want to get the value of the home after 3 years
Generally, we have the exponential formula as follows;
y = P(1 + r)^t
where P is the original cost which is $124,400
r is the rate of increase which is 3% = 3/100 = 0.03
t is the time which is 3 years
Substituting these values;
y = 125400(1 + 0.03)^3 = $137,027.97
Answer:
12.3 feet.
Step-by-step explanation:
As we are given that is an right angled triangle.
And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.
By using Trigonometric functions in a right angled , we know that:
Here, is , Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.
So,
Putting the values of <em>PN </em>and .
Hence, the value of <em>OP </em>is .