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:
The answer to your question is: I bought 7 snacks
Step-by-step explanation:
Data
beginning balance = $42 = b
lunch = $1.80 = l
snack = $ 0.85 = s
final balance = $0.05 = f
f = b - 1.8l - 0.05s
0.05 = 42 - 1.8l - 0.85s
After 20 days I spent = 1.8(20) in lunches = $36
0.05 = 42 - 36 - 0.85s
0.05 = 6 - 0.85s
0.05 - 6 = -0.85s
-5.95 = -0.85s
s = -5.95/-0.85
s = 7
Answer:
<h3>A reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.</h3><h3>
Step-by-step explanation:</h3>
We know that the first transfomration is a rotation 90° clockwise.
Notice that vertex R is at the same horizontal coordinate than vertex C, which means the second transformation must include a reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.
