By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula ![PV = A \frac{[1- \frac{1}{(1+r)^{N}}]}{r}](https://tex.z-dn.net/?f=%20PV%20%3D%20A%20%5Cfrac%7B%5B1-%20%5Cfrac%7B1%7D%7B%281%2Br%29%5E%7BN%7D%7D%5D%7D%7Br%7D%20)
, we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula ![FV = A\frac{[(1+r)^{N}-1]}{r}](https://tex.z-dn.net/?f=%20FV%20%3D%20A%5Cfrac%7B%5B%281%2Br%29%5E%7BN%7D-1%5D%7D%7Br%7D%20%20%20)
, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$
Answer:
Yes, the bathroom has enough water and shampoo for all of them.
Step-by-step explanation:
70L+ 60S < 5600
Putting 8 into L and 7 into S, gives:
70(8) + 60(7) = 560 + 420 = 980
That is definitely less than 5600, so water is OK.
Now,
0.02L + 0.01S
Putting 8 into L and 7 into S, gives:
0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23
That's definitely less than 2.5 liters, so shampoo is OK as well.
Hence, bathroom has enough water and shampoo for them.
Answer:
B
Step-by-step explanation:
We know that 3² = 9, so for g(x) to pass through (3,3), we need to multiply x² by 1/3, giving option B.
Answer:
NC
Step-by-step explanation:
We know it is not SSS or AAS or ASA
On one triangle we have SAS but we don't see the same congruent markings so we cannot tell.
Answer:
8 x 8 x 8 x 8 = 4096
Step-by-step explanation:
Its an exponent which means you multiply 8 by itself 4 times to get 4096.
