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:
<u>Distributive Property</u>
Step-by-step explanation (if you were to show the steps):
(x+2)(y+z) <u>(first expression)</u>
xy + xz + 2y + 2z <u>(Distributive Property of Multiplication)</u>
yx + 2y + zx + 2z <u>(use the Commutative Property of Addition and Commutative Property of Multiplication to group xy (also known as yx) and 2y together, and to group xz (also known as zx) and 2z together)</u>
y(x + 2) + z(x + 2) <u>(use factoring to get the rewritten expression at the end)</u>
Answer:
Step-by-step explanation:
18 : 63
Both have 9 in common
2 : 7
Option C is the correct answer
Option F is the correct answer
All you have to do is insert whatever they give you into <em>x. </em>So for example they give you f(2) all you do is is insert the two where x is.
The answer is D
1) Add all the hours to get 32.9
2) multiply by 21.07
3) The answer is 693.203, which is $693.20
