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Archy [21]
2 years ago
12

Liam earns 7.50 an hour his benefits package is equal to 25 percent of his hourly wages when you include that valid if his benef

its how much does Liam earn per hour
Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer:

Liam earns $9.375 per hour

Step-by-step explanation:

<em>The given information is</em>

  • Lima earns $7.50 per hour
  • His benefits package is 25% of his hourly wages

We need to find his hourly wages when his benefits package is included

Assume that he earns 100% per hour

∵ He earns 100% per hour

∵ His benefits package is 25% of his hourly wages

→ Add 25% to 100% to find his total hourly wages

∴ He will earn = 100% + 25% = 125% of his hourly wage

→ Find the value of 125% of his hourly earn

∵ 125% of 7.50 = \frac{125}{100} × 7.50 = 9.375

∴ His hourly earns = $9.375

Liam earns $9.375 per hour

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Factor 18p-3618p−3618, p, minus, 36 to identify the equivalent expressions. Choose 2 answers: Choose 2 answers:
lisabon 2012 [21]

Answer:

18(p-2)

Step-by-step explanation:

We want to factor 18p-36

We know that the greatest common factor is 18.

So we can rewrite to obtain:

18*p-18*2

We factor the GCF to obtain:

18(p-2)

Therefore 18p-36=18(p-2)

Therefore the equivalent expression to 18p-36 is 18(p-2)

5 0
2 years ago
Read 2 more answers
A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
2 years ago
Jadyn is looking to purchase a home for $182,000 and will make a $40,000 down payment in order to borrow the remainder. Jadyn’s
AysviL [449]

Answer: Jadyn’s monthly mortgage payment is $812

Step-by-step explanation:

The cost of the house is $182,000.

The down payment made is $$40,000. The balance to be paid would be

182000 - 40000 = $142000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $142000

r = 0.00351/12 = 0.000293

n = 12 × 15 = 180

Therefore,

P = 142000/[{(1+0.000293)^180]-1}/{0.000293(1+0.000293)^180}]

142000/[{(1.000293)^180]-1}/{0.000293(1.000293)^180}]

P = 142000/{1.054 -1}/[0.000293(1.054)]

P = 142000/(0.054/0.0003088)

P = 142000/174.87

P = $812

6 0
2 years ago
The regular price of an item at a store is p dollars.The item is on sale for 20% off the regular price.Some of the expressions s
Sergio [31]

Answer: The required expression would be 0.8p.

Step-by-step explanation:

Since we have given that

Let the regular price of an item be 'p' dollars.

Discount % = 20%

So, Amount of discount would be

\dfrac{20}{100}\times p\\\\=0.2p

So, the expression represents the sale price would be

p-0.2p\\\\=0.8p

Hence, the required expression would be 0.8p.

5 0
2 years ago
The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator trave
nadya68 [22]
Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
= 44.667 seconds
Thus, an elevator will take 44.667 seconds to reach 68th floor.

6 0
2 years ago
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