Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Last week she worked 52 hours and earned $544. What is her hourly rate? Equation = (use h as variable)
Weekly Rate = $

Answers

Answer 1
Answer:

Answer:

$837.96

got u bro good luck

Step-by-step explanation:

Answer 2
Answer:

Final answer:

By setting up an equation based on her hourly work and pay, we find that Linda's hourly rate of pay is $8.5 per hour.

Explanation:

To answer this question, we need to set up an equation based on the information provided. We know that Linda earns a normal hourly rate for her first 40 hours and twice that for the hours she works over 40. The total money she made is $544.

If we define h as her hourly rate, then for the first 40 hours, she earns 40h dollars. For the extra hours (in this case 12), she earns double her normal rate, meaning she earns an additional 2h*12 dollars. Setting up the equation gives us:

40h+2h*12 = 544

Solving this equation will give us the value of h, which is her hourly rate. 40h+24h=544, simplifying this will result in 64h=544. So her hourly rate is 544/64 = $8.5.

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(10x² +34+ 34x+ 30) = (2x+4)
Chloe has been offered a new job in the women’s shoe department at Macy’s. She has two salary options. She can receive a salary of $600 per week (Option 1), or receive $350 per week plus 8% of her weekly sales (Option 2). If Chloe has $3,200 in weekly sales, she will earn more money withIf x represents Chloe’s weekly sales, the following equation can be used to determine which option will benefit her the most:If x represents Chloe’s weekly sales, she will earn more money with Option 1 when
To convert 10 minutes to seconds, you would use the ratio. 1 seconds/ 60 minsA. True B. False
Rewrite the expression without using a negative exponent.12x^−4 Simplify your answer as much as possible.

An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? a. 1/12 x 3 hours
b. 1/3 x 12 hours
c. 1/3 x 1/12 hour
d. 3 x 12 hours

Answers

Selection B is appropriate.

_____
It takes 12 times as long to fill the whole tank as it does to fill 1/12 of the tank.
.. 12 * (1/3 hour) = (1/3)*12 hour

Answer: b . (1)/(3)*12 hours

Step-by-step explanation:

Given : A oil company fills (1)/(12) of a tank in (1)/(3) hour.

i.e. Time taken to fill (1)/(12) of a tank=  (1)/(3) hour.

By using the Unitary method, we multiply 12 on bith the sides of the above expression we get

Time taken to fill (1)/(12)*12  tank=  (1)/(3)*12 hour.

⇒ Time taken to fill 1 tank=  (1)/(3)*12=4 hour.

Hence, it will take (1)/(3)*12 hours or 4 hours for the tank to fill completely.

Thus , the correct answer is b . (1)/(3)*12 hours

A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond has 20 years to maturity. If investors require a 12 percent yield, what is the bond’s value? * a. $849.45 b. $879.60 c. $985.18 d. $963.15 e. None of the above

Answers

Answer:

a. $849.45

Step-by-step explanation:

In the above question, we are given the following information

Coupon rate = 10%

Face value = 1000

Maturity = n = 20 years

t = number of periods = compounded semi annually = 2

Percent yield = 12% = 0.12

Bond Value formula =

C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)

C = coupon rate × face value = 10% × 1000 = 100

Bond value:

= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2

= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40

= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)

= 50 × 15.046296872 + 97.222187709

= $849.45

Bond value = $849.45

Divide. Give the quotient and remainder. 41÷8
Quotient:
Remainder:​

Answers

Answer:

5 r1

Step-by-step explanation:

Because 40 divided by 8=5 so 8 x 5=40 and 40 but since we need 41 then we still have a remainder of 1 so 5 with a remainder of 1.

Hope it helps have a good afternoon :)

Steve's mom's age is 7 years less than 3 times Steve's ages.​

Answers

Answer:

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Step-by-step explanation:

Let x be Steve's age.

Steve = x

Steve's Mom = y

Now let's create an equation:

y - 7 = 3x

y = 3x + 7

(Not sure what the question was so, I just put it in slope intercept form)

Please let me know if I misunderstood the question that way I can help you! <3

Answer:

Steve's mom is 65.

Step-by-step explanation:

Let s = Steve's age.

s + (3s - 7) = 65

4s - 7 = 65

4s = 72

s = 18

Check:

Steve is 18

His mom is (3 * 18) - 7 = 54 - 7 = 47

14 + 47 = 65

Yep.

18 + 47 = 65

Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x? StartFraction 5 plus-or-minus 3 StartRoot 11 EndRoot Over 12 EndFraction StartFraction 5 plus-or-minus StartRoot 97 EndRoot Over 12 EndFraction StartFraction 5 plus-or-minus StartRoot 47 EndRoot Over 12 EndFraction StartFraction negative 5 plus-or-minus StartRoot 97 EndRoot Over 12 EndFraction

Answers

The required value of the quadratic function which is determined by the using quadratic formula would be x = (5\pm√(97))/(12)   which is the correct answer would be an option (B).

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

We have been given that quadratic function as

5x = 6x² – 3

⇒ 6x² - 5x  - 3 = 0

Compare the given function to the standard quadratic function

f(x) = ax² + b x + c = 0.

We get a = 6, b = -5 and c = -3

Using the quadratic formula to solve the above quadratic function

x = (-b\pm√(b^2-4ac))/(2a)

Substitute the values of a = 6, b = -5 and c = -3 in the quadratic formula

x = (-(-5)\pm√(-5^2-4*6*-3))/(2*6)

x = (5\pm√(25+72))/(12)

x = (5\pm√(97))/(12)

Therefore, the correct answer would be an option (B).

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Answer:

The answer is B

Step-by-step explanation:

Question 2Which collection of three side lengths will NOT form a triangle?


6 in, 10 in, 18 in


10 in, 12 in, 15 in


10 in, 15 in, 6 in


10 in, 18 in, 12 in

Answers

Side lengths with 6 in, 10 in, 18 will not form a triangle 'cause we know, that sum of shorter sides must be greater than the longer side but here it's not.

In short, Your Answer would be Option A

Hope this helps!
6 in, 10 in, 18 in
The sides need to be in between (10-6) and (10+6) or between 4 and 16. But the third side here is 18, so that cannot qualify as a side. 

Hope this helps.