12/3 is already an improper fraction.
But, 12/3 is simplified into 4.
Answer: a: 543.2 b: 465.6
Step-by-step explanation:
a. find 30% of $776, which is 232.8. subtract 232.8 from 776.
b. find 40% of $776, which is 310.4. subtract 310.4 from 776
Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
![FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)](https://tex.z-dn.net/?f=FV%3DP%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%2A%281%2Br%29)
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually
percent per period(quarter)) - n is the number of periods (here the annuity is for
years, which is
periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
![FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23](https://tex.z-dn.net/?f=FV%3D400%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B18%7D-1%7D%7B0.0325%7D%5D%2A%281%2B0.0325%29%5C%5C%3D400%5B23.9497%5D%2A%281.0325%29%5C%5C%3D9891.23)
Hence, the future value of the annuity due is $9891.23
I hope this helps you
(5,-7) x'=5 y'= -7
(-7,1) x"= -7 y"=1
slope. (x'-x")=y'-y"
slope. (5-(-7))= -7-1
slope. 12= -8
slope =-8/12
slope = -2/3
The answer will be 51 Remainder 5.