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:
a negative times a negative is a positive so 8×3=24/19 will give you that answer
you add -2 to the other side with 25 and get 27 then u work the rest of the problem out to solve for x
Answer:
52.9 inches .
Step-by-step explanation:
Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.
As we know that the area of triangle is ,
Substituting the respective values,
On using the <u>Quadratic</u><u> formula</u> , we have;
On simplifying above , we will get ,
Since sides can't be negative, therefore,
Therefore ,
Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;
Now we may find perimeter as ,
Answer:
1 / 31
Step-by-step explanation:
Given that:
Yellow (y) ; Blue (b) ; Green (g)
b = 5y
g = 5b
Assume :
Number of yellow cube = 1
y = 1
b = 5
g = 5*5 = 25
Probability = (required outcome / number of total possible outcomes)
P( picking a yellow) = number of yellow / total number of cubes
Total number of balls = (1 + 5 + 25) = 31
P(picking a yellow) = 1 / 31
