Answer:
(2, 5)
Step-by-step explanation:
Given the 2 equations
y = x + 3 → (1)
- 2x + y = 1 → (2)
Substitute y = x + 3 into (2)
- 2x + x + 3 = 1
- x + 3 = 1 ( subtract 3 from both sides )
- x = - 2 ( multiply both sides by - 1 )
x = 2
Substitute x = 2 into (1) for corresponding value of y
y = 2 + 3 = 5
Solution is (2, 5)
Answer:
Step-by-step explanation:
The compounding formula for this is
where A(t) is the amount after all the compounding is done, P is the initial investment, r is the interest rate as a decimal, n is the number of times the interest compounds per year, and t is the time in years. For us, our n is 2, since the money compounds every 6 months, and 6 months goes into 1 year 2 times. Our formula then is:
which simplifies a bit to
which simplifies a bit more to
Raise 1.06 to the power of 18 and then multiply the 2 numbers together:
A(t) = 823(2.854339153) so
A(t) = 2349.12
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
Answer:
<u>1109.8 square feet</u>
Step-by-step explanation:
In this case, assume the leash to be the radius of the circular yard.
<u>Area</u>
- πr²
- 3.14 x (18.8)²
- 3.14 x 353.44
- <u>1109.8 square feet</u>
Answer:
if 3 inches on a map = 42miles
then x = 322miles
cross multiply
3inches by 322 = xby42miles
966inchesmiles = 42xinchesmiles
divide both sides by 42miles
xinchees = 23
therefore 322miles distance will take 23inches on a map
