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AysviL [449]
3 years ago
5

Alex is paid $30/hr at full rate, and $20/hr at a reduced rate. The hours of work are paid at a ratio of 2:1, full rate : reduce

d rate. For example, if he worked 3 hours, he would be paid 2 hours at full rate and 1 hour at reduced rate. Calculate his pay for 4 hours of work.
Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

  $106.67

Step-by-step explanation:

Using the example, for 3 hours work, Alex would be paid ...

  (2 hr)($30/hr) +(1 hr)($20/hr) = $60 +$20 = $80

At the same rate of pay, for 4 hours work, the pay would be ...

  pay/(4 hr) = $80/(3 hr)

  pay = $80(4/3) ≈ $106.67

Alex's pay for 4 hours of work is $106.67.

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A rectangle has a perimeter of 204 feet. It's length is six feet longer than twice it's width. If L stands for the length of the
Ratling [72]

Answer:

L = 70

W = 32

Step-by-step explanation:

P = 2L + 2W

P 204 feet

W = x

L  = 2x + 6

P = 2L + 2W

P = 2*(2x + 6) + 2*x

P = 4x + 12 + 2x

P = 6x + 12

But we know that P = 204  So 6x + 12 = 204

6x + 12 = 204                    Subtract 12 from both sides

6x + 12 - 12 = 204 - 12       Collect like terms on the right

6x = 192                             Divide by 6

x = 192/6

x = 32

Answer

W = 32

L = 2*W + 6

L = 2*32 + 6

L = 64 + 6

L = 70


7 0
3 years ago
Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.
inna [77]

Answer:

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

y = A\cdot e^{B\cdot x} (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B - Coefficients.

If we know that (x_{1}, y_{1}) = (7,12) and (x_{2}, y_{2}) = (8,25), then we get the following system of equations:

A\cdot e^{7\cdot B} = 12 (2)

A\cdot e^{8\cdot B} = 25 (3)

If we divide (3) by (2), we calculate the value of B:

e^{B}=\frac{25}{12}

B = \ln \frac{25}{12}

B \approx 0.734

And by (2), we determine the value of A:

A = 12\cdot e^{-7\cdot B}

A = 0.0704

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

4 0
2 years ago
How do you do the expression
strojnjashka [21]
L x (times) w ( length times width) 9x4=36 I think.
3 0
3 years ago
How is 2:7 and 10000:35000 equivalent
Sati [7]

Answer:

Simplify both of them

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find x: 1) 2x= 1/8 2)3x multiplied by 9= 81
Rainbow [258]
  1. = 2x =  \frac{1}{8 }  \\  = x =  \frac{1}{2 \times 8}  \\  = x =  \frac{1}{16}3x \times 9 = 81 \\ 3x =  \frac{81}{9} \\ x =  \frac{9}{3}  \\  x = 3

Heres your answer girlfriend ♥️♥️

Have you followed me when I answered your last question???

6 0
3 years ago
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