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:
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Step-by-step explanation:
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Answer:
x ≈ 8.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin75° = 
= 
= 
( multiply both sides by 9 )
9 × sin75° = x , then
x ≈ 8.7 ( to the nearest tenth )
the quotient is 6 and the reamainder is 4
Answer:
A) 199 to 426 students
Step-by-step explanation:
We add and subtract the margin of error on the original percentage
This leaves us with 30% and 14%
30% of 1420 is 426
14% of 1420 199 (rounded to whole number)
