Answer:
$102,677.20
Step-by-step explanation:
The present value of an annuity due is determined by the following expression:

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.
With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

The present value of your winnings is $102,677.20.
Answer:
k = 45*
2k = 90*
Step-by-step explanation:
K will be the same as the 45* degrees, as it is across from it.
2k is twice k, which is 90*.
45* + 45* + 90* = 180*
Good luck!
Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
Answer:
the answer is 0
Step-by-step explanation: