First calculate the future value of the annuity
The formula to find the future value of an annuity ordinary is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT quarterly payment 1500
R interest rate 0.12
K compounded quarterly 4
N time 4 years
Fv=1,500×(((1+0.12÷4)^(4×4)
−1)÷(0.12÷4))
=30,235.32
Now compare the amount of the annuity with amount of the gift
30,235.32−30,000=235.32
So as you can see the amount of the annuity is better than the amount of the gift by 235.32
Second offer is better
Hope it helps!
Answer:
180 = 40 + 10x
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
x(-y+z) [Switch in the values]
=5(-5+1) [Use distributive property and multiply]
=(-25)+5 [do the basic math]
=(-20) [final answer]
Answer:
Step-by-step explanation:
x and y are supplementary angles, so their sum is 180°.
x+y = 180°
x is 16° less than three times y
x = 3y - 16°
(3y-16°) + y = 180°
4y = 196°
y = 49°
x = 3y-16° = 131°