Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
Answer:
FV= $4,948.16
Step-by-step explanation:
Giving the following information:
Number of periods (n)= 10
Interest rate (i)= 2.15% compound interest annually
Present value (PV)= 4,000
<u>To calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 4,000*(1.0215^10)
FV= $4,948.16
Answer:
-3
Step-by-step explanation:
-5 = -8 - (- 3)
You would round up 3465 to 3470 and round up 2716 to 2720, the difference would be 750
