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:
We conclude that the 8 % of calls result in a sale.
We conclude that the 5.3% of sales are made to women.
Step-by-step explanation:
We know that 70% of calls arc not completed (the party does not answer or refuses to talk), that 20% result in talking to a woman, and that 10% result in talking to a man. After that point, 30% of the women and 20% of the men actually buy something.
We calculate what percentage of calls result in a sale, and we get:

We conclude that the 8 % of calls result in a sale.
We know that the ratio of women to men talking on the telephone is 2:1.
We calculate a percent of sales are made to women, and we get:

We conclude that the 5.3% of sales are made to women.
Answer:
24 sin 70
Step-by-step explanation:
Sin 70 = 24/ladder
Ladder = 24* sin 70
The diameter of a circle is the distance across at its widest point (right through the center). The radius is the distance from any point on the circle to the center (which means it's half of the diameter. Since we know the radius of the manhole cover is 12 inches then...
diameter = 2 × r
diameter = 2 × 12
diameter = 24 inches
Answer:
choose b and d
distribute the number outside the parenthesis to each term on the inside of the parenthesis.