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Inessa [10]
3 years ago
10

An electrician charges an hourly rate of $60, but also charges a fixed fee for making house calls regardless of time spend on th

e job. One day, the electrician earned a total of $350 for a 5 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Mathematics
2 answers:
gtnhenbr [62]3 years ago
6 0

Answer: C=60t+50

Step-by-step explanation:

$60 an hour,

5 hours before the fixed fee is only $300

but the amount he made for a 5 hour house call was $350,

making the fixed fee $50

Luba_88 [7]3 years ago
4 0

Answer:

$50

Step-by-step explanation:

Step one:

charges per hour= $60

We are told that the electrician earned $350

for a job that took 5hours

The linear equation to represent his earnings is

let the flat fee be x

C=60t+x------------1

so for C=$350

Required

the flat fee

350=60(5)+x

350=300+x

collect like terms

x=350-300

x=50

Flat fee is $50

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A ribbon is 4 m long. How many pieces each 30 cm long can be cut from the ribbon?​
EleoNora [17]

Answer:

13 pieces

Step-by-step explanation:

First we convert 4m into cm :

1m = 100cm

4m = 400cm

Now we need to figure out how many 30s go into 400 :

400 ÷ 30 = 13 remainder 10

So 13 pieces can be cut from the ribbon

Hope this helped and have a good day  

5 0
2 years ago
Read 2 more answers
Sketch the graph of y (x +3)2-4 and identify the axis of symmetry.
masya89 [10]

The axis of symmetry is at x = -3.


This can be found by looking at the basic form of vertex form:


y = (x - h)^2 + k


In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).


It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

6 0
3 years ago
Please help me with this
kow [346]

Answer:

The first one

Step-by-step explanation:

3 0
2 years ago
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nikitadnepr [17]
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4 0
2 years ago
how long will it take an investment of $300 to triple, if the interest rate is 3.5% per year, compounded continuously?
Rashid [163]

Answer:

31 years to triple the investment

Step-by-step explanation:

Initial investment = 300

Triple amount that is final amount = 300*3= 900

rate of interest = 3.5 % = 0.035

we need to find out number of years (t)

for compounded continuously we use formula

A= Pe^{rt}

A is the final amount

P is the initial amount

r is the rate of interest

t is the number of years

900 = 300e^{0.035*t}

Divide both sides by 300

3 =e^{0.035*t}

take 'ln' on both sides

ln(3) =ln(e^{0.035*t})

ln(3) = 0.035t ln(e)

ln(e)= 1

\frac{ln(3)}{0.035} = t

t= 31.3889

Round to nearest whole number

t= 31 years


4 0
3 years ago
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