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Basile [38]
2 years ago
6

If a new college graduate wants a car costing $21,000, how much must be saved annually over the next four years if the funds ear

n 5%?
Mathematics
1 answer:
fgiga [73]2 years ago
8 0
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.
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Nth term of 1 8 15 22 29
k0ka [10]
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6 

The above is the "rule" for the nth term.
8 0
3 years ago
Read 2 more answers
Explain how an estimate help you to place the decimal point when multiplying 3.9x5.3?
trapecia [35]
You can estimate 3.9 times 5.3 to 4 times 5 which is 20
so if the answer is around 20, you know that you will have exactly 2 digits before the decimal place
6 0
3 years ago
Write the two conditional statements that make up the following biconditional.
Yuri [45]
The correct answer is A. <span>If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.

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7 0
3 years ago
Read 2 more answers
How do I solve this equation
Anestetic [448]
-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts.  First we have to solve for one of the variables in one of the equation in terms of the other variable.  I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8      add y to each side
-x = 8 + y      divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation.  In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1      multiply the 2 through the parentheses
-16 - 2y - y = -1      combine like terms
-16 - 3y = -1            add 16 to both sides
-3y = 15                   divide each side by -3
y = -5

Now we have a value for y.  We need to plug it into either of the original equations then solve for x.  I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8            multiply -1 through the parentheses
-x + 5 = 8                subtract 5 from each side
-x = 3                      divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

4 0
3 years ago
Please help me on this one. I don't know the equation to solve it. I really need help!!
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