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
B. ) Unless you're missing some data.
Answer:
Step-by-step explanation:
We are asked to find the equation of mid-line of the given sinusoidal function.
Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.
We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.
Upon substituting these values in mid-line formula we will get,
Therefore, the equation of the mid-line of the given sinusoidal function is .
Answer:
Bowl B contains 2 apples more than Bowl A and Bowl A contains 1 mango more than Bowl B.
Step-by-step explanation:
Number of apples in Bowl A = 6
Number of mangoes in Bowl B = 8
Difference in apples = 8 - 6 = 2
So, Bowl B contains 2 apples more than Bowl A.
Number of mangoes in Bowl A = 3
Number of mangoes in Bowl B =2
Difference in mangoes = 3 - 2 = 1
So, Bowl A contains 1 mango more than Bowl B.
Answer:
u kind of forgot the attachment bestie
