X is 30 because
x-4x=-90
-3x=-90
x=30
Answer:
D
Step-by-step explanation:
Answer:
x≈6.4
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }24900
a=starting value = 24900
r=\text{rate = }6.75\% = 0.0675
r=rate = 6.75%=0.0675
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.0675=0.9325
b=1−r=1−0.0675=0.9325
\text{Write Exponential Function:}
Write Exponential Function:
y=24900(0.9325)^x
y=24900(0.9325)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
15900=24900(0.9325)^x
15900=24900(0.9325)
x
\frac{15900}{24900}=\frac{24900(0.9325)^x}{24900}
24900
15900
=
24900
24900(0.9325)
x
Divide both sides by 24900
0.638554=0.9325^x
0.638554=0.9325
x
\log 0.638554=\log 0.9325^x
log0.638554=log0.9325
x
Take the log of both sides
\log 0.638554=x\log 0.9325
log0.638554=xlog0.9325
use power rule to bring x to the front
\frac{\log 0.638554}{\log 0.9325}=\frac{x\log 0.9325}{\log 0.9325}
log0.9325
log0.638554
=
log0.9325
xlog0.9325
Divide both sides by log(0.9325)
6.418279=x
6.418279=x
Answer:
The length of the window is 35 inches.
Step-by-step explanation:
Perimeter of an object can be found using the general formula: P = 2W + 2L, where P = perimeter, W = width and L= length. Since both the width and perimeter of the window are given, we can plug these values into the formula to solve for the missing variable 'L': 112 = 2(21) + 2L, or 112 = 42 + 2L. We can then use inverse (opposite) operations to isolate the variable and solve. Whatever we do to one side of the equation, we do to the other. We will start by subtracting 42 from each side: 112 - 42 = 42 - 42 + 2L or 70 = 2L. Next, we divide both sides by 2 to solve for L: 70/2 = 2L/2 or L = 35. So, the final length of the window is 35 inches.
Answer: $9900
Explanation:
Commission = 6% x $165000 = 0.06 x 165000 = $9900