Answer:
D
Step-by-step explanation:
Answer:
28=x
78=y
Step-by-step explanation:
The lines are perpendicular so 78 would be the same for the top line. So the equation fill in would be (5x-62)=78 turning x into 28
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
6.2/100 × 107.69 = 6.68
6.68 + 107.69 = 114.37
Retail Price =$114.37
Nothing to confuse. The number of partners are 3. $2.03 is the amount of tips they receive per hour. So devide $2.03 to get the amount of tip that one partner receives hourly, which is $0.68.
Now to create a function, it's clearly that the number of hours is the variable x so it would change depending on how many hours each employee has worked. So the equation will be :
y = 0.68x
Apply the number of hours of each employee and get the total of tip they receive per hour.
Edit : if the partners who are working is unknown you can write the equation based on this :
y = ((2.03)x)/n
n is the number of partners who are working so the amount of tip they will receive will depend on how many employees are working in the cafe.
Hope this helps !