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3 years ago

9

Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he d

ecides to mow lawns?

1 answer:

loris [4]3 years ago

3 0

The chance to earn by working in a library

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What is the value of the numerical expression 5/8 - 5/12 (3 -1/4) + 2/3 ?

nasty-shy [4]

$\dfrac{5}{8} - \dfrac{5}{12} ( 3 - \dfrac{1}{4} )+ \dfrac{2}{3}$

$= \dfrac{5}{8} - \dfrac{5}{12} (2\dfrac{3}{4} )+ \dfrac{2}{3}$

$= \dfrac{5}{8} - \dfrac{5}{12} (\dfrac{11}{4} )+ \dfrac{2}{3}$

$= \dfrac{5}{8} - \dfrac{55}{48}+ \dfrac{2}{3}$

$= \dfrac{30}{48} - \dfrac{55}{48}+ \dfrac{32}{48}$

$= \dfrac{7}{48}$

6 0

3 years ago

What is the volume of the following rectangular prism?

Cerrena [4.2K]

Answer:

73.5

Step-by-step explanation:

Step 1: 21/2 divided by 2 = 21/4

Step 2: 21/4 times 21/4 times 8/3 =

Answer: 73.5

The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.

3 0

3 years ago

A rubber ball is dropped onto a hard surface from a height of 9 feet, and it bounces up and down. At each bounce it rises to 80%

8_murik_8 [283]

There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is: h(n) = 108 * 0.8^n. To find the bounce height after 10 bounces, substitute n=10 into the equation: h(n) = 108 * 0.8^10 = 11.60in (2.d.p.). Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x: 108 * 0.8^x = 1; 0.8^x = 1/108; Ln(0.8^x) = ln(1/108); xln(0.8) = ln(1\108); x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces

4 0

2 years ago

I’ll give brainliest if u answer within 30 mins

Alecsey [184]

Answer:

96.7 maybe or 6.75 or 5.67 or even 56.77

Step-by-step explanation:

EZ

6 0

2 years ago

An employee is paid a salary of \$73,840 per year, plus benefits and overtime (time and a half) on hours worked over 40 per week

gulaghasi [49]

Answer:

B. $35.50/hr and \$6,079.38 in total income

Step-by-step explanation:

Given the following :

Total regular pay earning for the year = $73,840

Let basic salary = b

Overtime = 1.5b

Regular earning per week :

Regular year earning / number of weeks per year

$73840 / 52 = $1420

Regular hours = 40

Regular earning per week = $1420

Regular earning per hour = $1420 / 40

Regular earning per hour = $35.50

Number of overtime hours :

4 hours + 3.5hours = 7.5hours

Overtime pay per hour = 1.5 * regular earning

Overtime pay per hour = 1.5 * 35.5 = $53.25

Total overtime pay = Overtime pay per hour * Number of overtime hours

Total overtime pay = $53.25 * 7.5

Total overtime pay = 399.375

Total pay for the month :

160 regular hours + 7.5 overtime hours

(160 * 35.5) + $399.375

$5,680 + 399.375 = $6,079.375

= $6,079.38

4 0

3 years ago