Miguel rodriguez borrowed ? $100 from his brother julio to pay for books and tuition. he agreed to pay julio in 6 months with simple annual interest at 6.3%.

Formula for calculating  Amount is given by;

where

P represents the sum of amount borrowed

r represents the annual interest in decimal

t represents the time.

Use conversion:

1 year = 12 months.

As per the statement:

Miguel Rodriguez borrowed $100 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.3%.

Sum of the amount Miguel Borrowed from his brother (P) = $100.

Time(t) = 6 months = 0.5 years

Annual rate of interest(r) = 6.3% = 0.063.

then substitute these values in the given formula to find the amount.

Simplify:

Therefore, the amount Miguel Rodriguez paid to his brother after 6 months will be, $103.15

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

30

step-by-step explanation:

idk

i hope i