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Solution of the equation: 
Step-by-step explanation:
The equation that we have to solve in this problem is:

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

And

So the equation becomes

Now we multiply by 4 each term on both sides, and we get

Now we subtract 29 from both sides,

And finally, we divide both sides by 4:

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Answer:
x = 12.29
Step-by-step explanation:
present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²
present value of the 10 premiums:
x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x
0.743x² = 9.1323x
x² / x = 9.1323 / 0.743
x = 12.29
Answer:
The distance Plane A traveled in 1 h is greater than the distance Plane B traveled in 1 h.
Step-by-step explanation:
The equation of the distance traveled by Plane A is

The plane B traveled 540 miles in 2 hours.
So in 1 hour, plane B traveled 540/2 = 270 miles:
How does the distance Plane A traveled in 1 hour compare to the distance Plane B traveled in 1 hour?
Plane A:
d(1) = 290*1 = 290
Plane A traveled 290 miles in 1 hour.
Plane B travaled 270 miles in 1 hour.
So the correct answer is:
The distance Plane A traveled in 1 h is greater than the distance Plane B traveled in 1 h.
Answer:
-4
Step-by-step explanation:
27/16 ,-9/4,3..
We need to find the common ration
r = term2 / term 1
= -9/ 4 ÷27/16
copy dot flip
= -9/4 * 16/27 = -4/3
Multiply the last term by the common ratio
3 * -4/3 = -4
The next term is -4