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: x = 6
Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.
Next, you should combine your like terms. So, -14.76 = -88.56.
Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./
Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6
Answer:
8 men.
Step-by-step explanation:
12÷3=4.
4 women, 8 men.
8-4=4.
Answer:
15.14 cm^2
Step-by-step explanation:
Area of rectangle = 4cm x 3 cm = 12cm^2
Radius of the circle = 2 cm
Area of 1/4 of a circle = (pi x r^2) / 4
= (3.14 x 4) / 4 = 3.14 cm^2
3.14 cm^2 + 12cm^2 = 15.14 cm^2
Answer:
ASA
Step-by-step explanation:
in the place that I have put some marks on it, they have the same angle; so then they will also have the same third angle; and for the rest you should use ASA.