I'm assuming the funds earn 5% yearly?
Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).
Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.
Simply
3Y+-21=12X
Re-order the terms
-21+3Y=12X
(Solving for Y variable)
Move all terms containing y to the left, all other terms to the right.
Add 21 to each side of the equation
-21+21+3Y=21+12X
Combine like terms: -21+21=0
0+3Y=21+12X
3Y=21+12X
Divide each side by 3
Y=7+4X
Simplifying
Y=7+4x
I hope this helps!! :)
Answer:
https://www.symbolab.com/solver/step-by-step/7%5Cleft(x%2By%5Cright)%5E%7B2%7D%2B13x%5Cleft(x%2By%5Cright)-2%5E%7B2%7D
Step-by-step explanation:
try this link
It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.
Multiply the sum by 1/3 and you have

Now subtracting this from

gives

That is, all the matching terms will cancel. Now solving for

, you
have


Answer:
32
Step-by-step explanation:
Area of a big right triangle = 1/2 * 4 * (2+2+6) = 1/2 * 4 *10 =20
Area of a left right triangle = 1/2* 2*2 = 2
Area of a right right triangle = 1/2 * 6*2 =6
Area of a square = 2*2 = 4
All together:
20+ 2+6+4 =32