Answer:
The present value of the fund=$25,939.66
Step-by-step explanation:
Step 1
Determine the future value of the fund as shown;
Future value(F.V)=payment amounts per year×number of years
where;
payment amounts per year=$10,000
number of years=6
replacing;
Future value (F.V)=(10,000×6)=60,000
Future value (F.V)=$60,000
Step 2
Determine the present value (P.V) of the fund as shown;
F.V=P.V(1+r)^n
where;
F.V=future value
P.V=present value
r=annual interest rate
n=number of years
In our case;
F.V=$60,000
P.V=unknown
r=15%=15/100=0.15
n=6
replacing;
60,000=P.V(1+0.15)^6
60,000=P.V(1.15)^6
P.V=60,000/{(1.15)^6}
P.V=25,939.66
The present value of the fund=$25,939.66
Answer:
1.) 8 = 8
2.) -12 = -12
3.) -3y² = -3y²
4.) 6x² + 36x = 6x(x + 6)
5.) 7x - 14x² = 7x(1 - 2x)
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Answer:
cool
Step-by-step explanation:
yo hi guys i'm African american
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3
Answer:
A. It is at the gas station
Step-by-step explanation: