Answer:
x = 3
y = -3
Step-by-step explanation:
We have two equations and are asked to solve for x and y.
y = -3x + 6
3y = -2x - 3
Substitute the y in the first equation in the second equation :
3(-3x + 6) = -2x - 3
Distribute :
-9x + 18 = -2x - 3
Solve for x by isolating it :
Subtract 18 from both sides :
-9x = -2x - 21
Add 2x to both sides :
-7x = -21
Divide -7 from both sides :
x = 3
Replace x in the first equation :
y = -3(3) + 6
y = -9 + 6
-9 + 6
y = -3
Answer:
10) area of 130° segment 4.5 in²
Step-by-step explanation:
10) area of full circle = πr² = (3.14)(2²) = 12.56 in²
area of 130° segment = (130/360)(12.56) = 4.54 in²
135 ; If you are allowed to use a calculator to determine percents you can do 300 × 45% = and it gives you your answer.
Answer:
1 year: $2060
2 years: $2121.80
3 years: $2185.45
Step-by-step explanation:
Compound interest formula is A = P(1 + 
) where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period, and t is the number of time periods elapsed. In our case, P would be equal to 2000 dollars, r would be equal to 0.03, for 3 percent, and our n value would just be one, so the final equation is:
First, let's evaluate t for 1, as in one year.
= 2000 x 1.03 = 2060
Two years: 2000 * 1.03 squared = 2121.80
Three years: 2000 * 1.03^3 = 2185.45!
Hope this helps!
Answer:
No
Step-by-step explanation:
2x+5.2 + 3x+ 1.2 +2x+6.2= 180
7x+ 12.6=180
7x 12.6 - 12.6=180 -12.6
7x = 167.4
x = 23.914
should equal 60
