Answer:
x = 5 , y = 5
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values.
sin30° =
, cos30° =
, then
sin30°=
=
=
( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
and
cos30° =
=
=
( cross- multiply )
2y = 10
( divide both sides by 2 )
y = 5
Answer:
5x^2 +10x
Step-by-step explanation:
The area is the product of the height and width. For this exercise, it is convenient to compute the rectangle areas individually, then write their sum:
blue rectangle area = (5x)(x) = 5x^2
red rectangle area = (5x)(2) = 10x
Total area = 5x^2 +10x.
_____
If you start by writing an expression for the total area, expanding it requires you deal with the unlike terms separately anyway:
5x(x +2) = 5x(x) +5x(2) = 5x^2 +10x
Answer:
The principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
Step-by-step explanation:
Given
- Accrued Amount A = $1000000
- Interest rate r = 6% = 0.06
- Compounded monthly n = 12
To determine:
Using the formula


substituting A = 1000000, r = 0.06, t = 45, and n = 12


$
Therefore, the principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
2 tens, and 8 ones. I say this because 20 = 10 + 10 so, two tens. 8= 1+1+1+1+1+1+1+1 so, eight ones.