9982 is the correct answer
deposit of $1644.50 is (gain)
check written and deposit are (loses) subtracted
so total of 3 checks :- 190$ + 45$ + 7.50$ = 242.50$
total of 4 debit cards :- 30$ + 5.59$ + 7.20$ + 21.30$ = 64.09$
total lose amount ( credits + debits ) = 242.50 $ + 64.09$ = 306.59$
Ending balance = Total amount - total loses =
1644.50$ - 306.59 $ = 1337.91$
4. 19
5. A. 105.7
By the way, if you're struggling with math problems I recommend you khan academy
Hope this helps :)
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