Hello,
if 2x²=54 then (2x)²=4x²=2*2x=2*54=108
Answer:
Katelyn's monthly payment for the loan is $ 2,032.52
Step-by-step explanation:
The formula given is explicit,we can solve for monthly payment using the below formula
P=L(1-r/r-r^n+1)
r=1/(1+i)
i=5.6%/12=0.47%
5.6% is an annual interest rate,it would be appropriate to restate in monthly terms
r=1/(1+0.47%)=0.995
n=5 years*12 months=60
L is the loan amount of $100,000
P=100000*(1-0.995)/(0.995-0.995^60+1)
=100000*(1-0.995)/(0.995-0.74)
=100000*0.005/0.246
=$ 2,032.52
Answer:
A= 1.12
B= 1.11
Step-by-step explanation:
A. 0.82 B. 1.03
+ 0.3 + 0.08
______ _______
1.12 1.11
9514 1404 393
Answer:
8√3 ≈ 13.86 ft
Step-by-step explanation:
The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...
y = 1/(4p)x^2
y = 1/12x^2
The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.
For y=4, the corresponding value of x is ...
4 = 1/12x^2
48 = x^2
√48 = x = 4√3
Then the width of the searchlight opening is ...
2(4√3 ft) = 8√3 ft ≈ 13.86 ft
Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
