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
Answer:
y=5/17x+17 3/17
Step-by-step explanation:
put the points on slope to get 5/17. then use point slope form (y-y1)=m(x-x1) and plug in 41 for x1, 81 for y1, and 5/17x for m
<h3>
Answer:</h3>
D. 1/24
<h3>
Step-by-step explanation:</h3>
Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.
p(even) = 3/6 = 1/2
p(odd) = 3/6 = 1/2
p(5) = 1/6
Then the joint probability is ...
.. (1/2)·(1/2)·(1/6) = 1/24
The answer is 93
If we sorted out the number of each hours, the sequence will look like this
57 _ 69 _ 81 _ x _ 105
(in which x is the fourth hour of work)
We can see from the sequence that each hours, the mailman add additional 12 letters.
(69 - 57 = 12)
(81 - 69 = 12) . . . . proof
So, the amount of letters on the fourth hour would be:
81 letters + 12 letters = 93 Letters
Movement by degree so by drawing it n tracing paper then rotating it a certain degree such as 90 degrees
