Given
Present investment, P = 3400
APR, r = 0.0115
compounding time = 13 years
Future amount, A
A. compounded annually
n=13*1=13
i=r=0.0114
A=P(1+i)^n
=3400*(1+0.0115)^13
=3944.895
B. compounded quarterly
n=13*4=52
i=r/4=0.0115/4
A=P(1+i)^n
=3400*(1+0.0115/4)^52
=3947.415
Therefore, by compounding quarterly, he will get, at the end of 13 years investment, an additional amount of
3947.415-3944.895
=$2.52 (to the nearest cent)
Answer:
n = -14
Step-by-step explanation:
n/2 = -7
Multiply by 2 on both sides to isolate n
n = -7 x 2
n = -14
12^3 / 12^7
Cancel out the common factor:
Multiply the numerator by 1:
12^3 * 1 / 12^7
Factor 12^3 out of the denominator to get:
12^3 * 1 / 12^3 * 12^4
Now cancel the common factor to get:
1/12^4
Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
