Answer:
It will take 88.2 months to accumulate the amount
Step-by-step explanation:
Given;
Future value of money, FV = $25,000
investment per compound period, P = $200
interest rate, i = 0.75% x 12 = 9%
The number of monthly installments required to amount to FV is given by;
![n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7Bln%28FVi%20%2Bcp%29-ln%28cp%29%7D%7Bln%28c%2Bi%29-ln%28c%29%7D%5C%5C%5C%5C%20n%20%3D%20%5Cfrac%7Bln%2825000%2A0.09%20%2B200%2A12%29-ln%28200%2A12%29%7D%7Bln%2812%2B0.09%29-ln%2812%29%7D%5C%5C%5C%5Cn%20%3D%20%5Cfrac%7B8.4446%20-7.7832%7D%7B2.4924-2.4849%7D%5C%5C%5C%5Cn%20%3D%2088.2%20%5C%20months)
Therefore, it will take 88.2 months to accumulate the amount.
You have the right one selected.
The answer is 2:1
To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.
20:10 becomes 2:1
12:6 becomes 2:1
16:8 becomes 2:1
The answer is C, you can tell because the b=-1, so that eliminates d, then you know the slope is positive because of the direction it goes, so that eliminates a. Then if you look at the slope, it goes up 3 over 1, so that makes the answer C.
Hope this helps
You can solve this by using the system of equations.
Jan - 4.95 = 2H + 3C
Wayne - 5.45 = 3H + 2C
Use elimination.
-3(2H + 3C = 4.95)
2(3H + 2C = 5.45)
Solve. And you'll get:
-6H + (-9C) = -14.85
6H + 4C = 10.9
Cross out -6H and 6H because they cancel out. And you're left with:
-9C = -14.85
4C = 10.9
Add -9C with 4C, and -14.85 with 10.9.
-5C = -3.95
Divide each side with -5.
C = $0.79
Now to figure out what H is, just substitute the C in one of the equations with 0.79.
5.45 = 3H + 2(0.79)
5.45 = 3H + 1.58
-1.58 -1.58
3.87 = 3H
3.87/3 = 3/3(H)
1.29 = H
Finished!