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MAXImum [283]
3 years ago
11

An electrician charges $35 per hour plus a fixed amount for residential work. For a job that took 6 hours, he billed $270. Write

an equation in the form y = mx + b that represents the cost, c, of hiring this electrician for a job that takes x hours.
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0
With the information provided, we can begin with the equation:

y=35x + b

With x = number of hours, y = total cost, b = fixed amount that is charged for residential work

We know that after 6 hours, $270 was charged:

$270 = $35(6) + b

Solve for b:

b = $270 - $210 = $60

The fixed amount that is charged for residential work is $60. So now we can rewrite the equation as:

y = 35x + 60
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Allison invested $70,000 in an account paying an interest rate of 6.2%
jeka94

Answer and Step-by-step explanation:

First, you need to make the function to represent the information given.

We start with 70,000 in the account, and have an interest rate of 6.2%.

We want to know how long it will take to get $223,200.

The equation for simple interest is:

A = P(1 + rt)

Where A is the total amount, P is the principle amount of money, r is the rate, and t is the time.

Now, we plug in the values and solve for t.

223,200 = 70,000(1+6.2t)

\frac{\frac{223,200}{70,000} -1}{6.2}  = t

t = 0.353

Multiply by 100 to get the years.

t = 35.3

So, it will take Allison 35.3 years to get 70,000 dollars to 223,200 dollar with an interest rate of 6.2%

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5 0
3 years ago
Read 2 more answers
A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your va
guajiro [1.7K]

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3

3 0
4 years ago
A group of employees bought a get-well gift for a co-worker. The gift cost $16.06. If there are 22 employees in the group, how m
Kazeer [188]
First you do 16.06 divid by 22 which equals 0.73 cents
5 0
3 years ago
Read 2 more answers
What is the midpoint of a segment whose endpoints are (-5,6) and (-7,2)?
zloy xaker [14]
The answer to the question is b

5 0
3 years ago
A surveyor measures a road as being 69.3km long, however there is a 1℅ error in this measurement .What is the true length of the
Vaselesa [24]

Answer:

69.993

Step-by-step explanation:

Using the percentage error formula:

Percentage error = (true - measured value / true measurement ) * 100%

1% error in measurement

1% of 69.3

0.01 * 69.3 = 0.693

True measurement = error in measurement + measured value

True measurement = 0.693 + 69.3

Actual measurement = 69.993

Hence, actual measurement = 69.993.

5 0
3 years ago
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