Answer:
45m
Step-by-step explanation:
Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
Answer:
27 ft^3
Step-by-step explanation:
The total surface area of the cube is 54 ft^2.
A cube has 6 congruent square sides.
54 ft^2/5 = 9 ft^2
Each square side has area 9 ft^2.
The area of a square is the square of the side, so the side of a square is the square root of the area.
side = sqrt(9 ft)^2 = 3 ft
The volume of a cube is the cube of the side.
volume = (3 ft)^3
volume = 27 ft^3
Answer:
250 ft
Step-by-step explanation:
circumference of circle 'C' is defined as
C = 2πr
250π = 2πr
r = 250π/2π
r= 125
d = 2r = 2×125 = 250
.
diameter of the given circle is 250 ft
