The present value of the investment is $6000.
According to the statement
Principal amount = $500
and Return amount = 10.5%
Time period = 20 years.
Now we find the present value of money then
By the formula
PV = P[1-(1+r)^n]/r
PV = 500[1-(1+0.10)^20]/0.10
PV = 6000
So, The present value of the investment is $6000.
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Rules of exponents and the distributive property apply.
(x+y)² = (x+y)·(x+y) . . . . . meaning of exponent of 2
= x·(x+y) +y·(x+y) . . . . . . . distributive property
= x·x +x·y +y·x +y·y . . . . . distributive property
= x² +x·y +x·y +y² . . . . . . meaning of exponent of 2, commutative property of multiplication
= x² +(1+1)·x·y +y² . . . . . . distributive property
= x²+2xy+y² . . . . . . . . . the desired form
Thus
(x+y)² = x²+2xy+y²
Answer:
47.7 square units
Step-by-step explanation:
The area of triangle ABC with two given sides and an inclusive angle =
1/2absinC
Where : a = 8, b = 12, C = 84
Area of Triangle ABC = 1/2 × 8 × 12 × sin 84
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Answer:
64
Step-by-step explanation:
75% of 64 = 48
Answer:
12r^2 +r -7
Step-by-step explanation:
9r^2 +4r -7 +3r^2 -3r
Combine like terms
9r^2 +3r^2 +4r -3r -7
12r^2 +r -7
