Answer: 55x + 75 = 350; 5 hours
Step-by-step explanation:
What we know:
- A flat fee is $75
- John charges $55 an hour
- The total charge is $350
We need to write an equation to find how many hours John works.
<em>x </em>will represent hours worked.
55x + 75 = 350
We now need to solve for x.
Subtract 75 from both sides.
55x + 75 - 75 = 350 - 75
Simplify.
55x = 275
Divide 55 from both sides.
55x/55 = 275/55
Simplify.
x = 5
John worked 5 hours.
To check our work, we just plug in our x value!
55(5) + 75
275 + 75 = 350
twelve multiplied by six equals seventy two. Three multiplied by two equals six. Therefore seventy-two plus six equals seventy-eight
can you please rotate the picture
Answer: y=-7x + 37
Step-by-step explanation:
Parallel lines will have the same slope but different y-intercepts so again we can use the coordinates to determine the y intercept of the new equation.
So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.
9 = -7(4) + b
9 = -28 + b
+28 +28
b = 37
The equation will be y= -7x + 37
Answer:
Bank West
$242.82
Step-by-step explanation:
To find which bank will yield more interest for Emilio, we can solve for the interest of each bank by using the Compound interest formula:

For the Bank West we have:
n = 4 Quarterly
t = 6 years
r = 3.8% or 0.038
P = 15820
Let's substitute them in the formula.





Now let's solve for the Interest. We subtract our total amount to the principal amount.
Interest = 19849.89 - 15820
Interest = 4029.89
Now let's solve for the First Bank.
n = 12 Monthly
t = 5 years
r = 4.3% or 0.043
P = 15820
Let's substitute them in the formula.



Now for the interest:
Interest = 19607.07 - 15820
Interest = 3787.07
This gives us:
Bank West Interest = $4029.89
First Bank Interest = $3787.07
So Bank West will earn more interest than First Bank.
To find how much more interest we subtract the interest of Bank West to First Bank.
4029.89 - 3787.07 = $242.82