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tiny-mole [99]
3 years ago
6

Find the principal needed now to get to $25,500 after 10 years at 6% compounded continuously

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer: $14239.07

Explanation:

A=P(1+I)^n

25500=P(1+0.06)^10

25500=P(1.06)^10

25500÷(1.06)^10=P

P=$14239.07

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3 years ago
30% of ____games is 32 games
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5 0
3 years ago
Read 2 more answers
Angles A and B are located in the first quadrant such that sinA= 7/25 and cosB = 5/13. Determine the exact value for cos (A-B).
fomenos

Answer:

  204/325

Step-by-step explanation:

You can work this a couple of ways. We expect you are probably expected to use trig identities.

  cos(A) = √(1 -sin²(A)) = 24/25

  sin(B) = √(1 -cos²(B)) = 12/13

cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)

  = (24·5 +7·12)/325

cos(A -B) = 204/325

__

The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.

  cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)

  = cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)

The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.

  325·cos(A-B) = 204

so, the exact value is ...

  cos(A -B) = 204/325

8 0
2 years ago
A carpenter is cutting down dowels from a piece of wood that is 10 inches long. How many 1/2-inch dowels can the carpenter cut?
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He can cut 5, because 10in divided by 2 is 5.
6 0
3 years ago
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Which is a correct description of the polygon?
RSB [31]

Answer:

D.It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

Step-by-step explanation:

You are so very welcome!

6 0
3 years ago
Read 2 more answers
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