Answer:
<u>Step-by-step explanation:</u>
This is a special triangle because the side lengths have the following relationship:
30° ⇄ side length "a" <em>represented as "h" in your picture</em>
60° ⇄ side length "a√3" <em>represented as "g" in your picture</em>
90° ⇄ side length "2a" <em>represented as "√5" in your picture</em>
<u>Step 1: solve for "a" </u> <em>hypotenuse (2a) is given as √5</em>
According to your picture, a = h, so
<u>Step 2: use the a-value from Step 1 to solve for the remaining side</u>
X^2 + 8x + 3
= (x + 4)^2 - 16 + 3
= (x + 4)^2 - 13 Answer.
You divide the + 8 by 2 to get the +4 and you then subtract 4^2 ( which is the -16).
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.
<h3>Compound Interest</h3>
Given Data
- Time = 6 months = 0.5 years
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.03/12)^(12)(0.5)
A = 1,000.00(1 + 0.0025)^(6)
A = $1,015.09
Learn more about compound interest here:
brainly.com/question/24924853
Answer:
<h2>Q = 32</h2>
Step-by-step explanation:
We will check whether the given pair x = 3 and y = 2 is the solution of the first equation.
4(3) - 5(2) = 12 - 10 = 2 CORRECT
Put x = 3 and y = 2 to the equation 6x + 7y = Q:
Q = 6(3) + 7(2)
Q = 18 + 14
Q = 32