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Vesnalui [34]
3 years ago
9

David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 h

ours last week. What is his gross pay?
Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

$1,471.5625

Step-by-step explanation:

Monthly salary = $1850

Weekly salary = $1850/4 weeks

= $462.5

Hourly rate = $462.5/40 hours

= $11.5625

Overwork time = 62 hours - 40 hours

= 22 hours

Time and a half = 1.5 times the normal salary

Overwork time payment per hour = 1.5 × $11.5625

= $17.34375

Overwork time payment for 22 hours = 22 × $17.34375

= $381.5625

Last week salary = weekly salary + overtime payment

= $462.5 + $381.5625

= $84.0625

Gross salary for the month = 3 weeks regular salary + last week salary

= (3 × $462.5) + $84.0625

= $1387.5 + $84.0625

= $1,471.5625

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Step-by-step explanation:

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3 years ago
Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +
nevsk [136]

Answer:

x_2 \approx -1.769

Step-by-step explanation:

Let f(x)=x^3+x+7

So f'(x)=3x^2+1

x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}

Let x_1=-2

We are going to find x_2

So we are evaluating -2-\frac{f(-2)}{f'(-2)}

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3

f'(-2)=3(-2)^2+1=3(4)+1=12+1=13

So

x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769

5 0
3 years ago
Determine how long it will take for $4000 to quadruple in a bank account earning 3.57% interest compounded continuously. Round t
tankabanditka [31]

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Step-by-step explanation:

5 0
3 years ago
You row upstream at a speed of 2 mi/h. You travel the same distance
Reika [66]

Answer:

3.5 m/hr  

Step-by-step explanation:

2 + c   =   5 -c           c = speed of current

2 c = 3      c = current speed = 1.5 m/hr

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4 0
2 years ago
A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. among the 1500 ​respondent
valentinak56 [21]

Answer:

0.01  is alpha level

Step-by-step explanation:

Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.

i.e. p = proportion of people who like chocolate pie = 0.12

Margin of error = ±0.03

The value of   q  =1-\hat p , =1-0.12 = 0.88


The sample size n  is given as 1500. Therefore,  n=1500

The confidence level is given as 99%

Hence alpha = 1- confidence level


=1-0.99=0.01

Hence answer is 0.01



4 0
3 years ago
Read 2 more answers
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