Jimmy is a flag person and earned $321.10 last week for 32.5 hours work. What is his hourly wage? *Your answer

Answers

Answer 1

Answer: The answer should be 9.88

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TIME REMAINING54:32
Tom would like to take out a secured loan to help pay for a vacation this summer. He has offered his car as collateral.
His car is worth $3,500. His bank can offer loans for 80% of collateral value. The vacation he has planned will cost
$4,750. Approximately how much additional collateral will Tom need to offer in order to borrow enough to go on his
vacation as planned?
$1,000.00
b. $1,362.50
c. $2,437.50
d. $2,800.00
a.
Please select the best answer from the choices provided
A
B.
ОООО
D

Answers

Tom will need to offer additional collateral of C. $2,437.50 to borrow enough for his planned vacation.

What is collateral?

Collateral refers to a valued property or financial security offered by the borrower to the lender to guarantee repayment of a loan.

Lenders sell collaterals when the borrowers fail to comply with their loan terms.

How is the additional collateral determined?

Car's value = $3,500

Collateral value in percentage = 80%

Car's collateral value = $2,800 ($3,500 x 80%)

Planned cost of vacation = $4,750

Additional cost to meet vacation cost = $1,950 ($4,750 - $2,800)

Additional collateral value to meet target = $2,437.50 ($1,950/80%)

Total collateral that Tom needs to offer = $5,937.50 ($3,500 + $2,437.50)

80% of $5,937.50 = $4,750

Another way is to work with the planned cost and the collateral percentage offered by Tom's bank:

Planned cost of vacation = $4,750

Collateral value in percentage = 80%

Total collateral to be offered by Tom = $5,937.50 ($4,750/80%)

Car's collateral value = $3,500

Additional collateral value = $2,437.50 ($5,937.50 - $3,500)

Thus, Tom needs additional collateral of C. $2,437.50.

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Writing on the SAT Exam It has been found that scores on the Writing portion of the SAT (Scholastic Aptitude Test) exam are normally distributed with mean 484 and standard deviation 115. Use the normal distribution to answer the following questions. Required:
a. What is the estimated percentile for a student who scores 425 on Writing?
b. What is the approximate score for a student who is at the 87th percentile for Writing?

Answers

Answer:

a) The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.

b) The approximate score for a student who is at the 87th percentile for Writing is 613.5.

Step-by-step explanation:

Problems of normally distributed distributions are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 484, \sigma = 115$

a. What is the estimated percentile for a student who scores 425 on Writing?

This is the pvalue of Z when X = 425. So

$Z = (X - \mu)/(\sigma)$

$Z = (425 - 484)/(115)$

$Z = -0.51$

$Z = -0.51$ has a pvalue of 0.3050.

The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.

b. What is the approximate score for a student who is at the 87th percentile for Writing?

We have to find X when Z has a pvalue of 0.87. So X for Z = 1.126.

$Z = (X - \mu)/(\sigma)$

$1.126 = (X - 484)/(115)$

$X - 484 = 1.126*115$

$X = 613.5$

The approximate score for a student who is at the 87th percentile for Writing is 613.5.

The grapThe graph below represents the distance Manuel walks over several hours.

Which is an ordered pair on the line?

(2.5, 14)
(2.5, 14)

(1.25, 5)
(1.25, 5)

(2.25, 12)
(2.25, 12)

(1.5, 9)

Answers

The ordered pair on the line (1.5, 9). The correct answer would be an option (D).

What is an ordered pair?

An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.

The graph below represents the distance Manuel walks over several hours.

The first and second options are not accurate since the distance is measured in miles up to 10 miles, hence the options can't be correct

The correct answer is option D since the value at t = 1.5 is equal to 9 miles

Thus, the ordered pair is on the line (1.5, 9).

Hence, the correct answer is an option (D)

Learn more about the set of ordered pairs here:

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The question seems to be incomplete the missing figure has been attached below.

Answer:

The answer is 1.5, 9

Step-by-step explanation:

If you can see the graph the speed increases

the area of the triangle is 2/5 square foot the height is 6/5 ft. what is the length in feet of the base of the triangle?

Answers

$\bf \textit{area of a triangle}\n\nA=\cfrac{1}{2}bh~~\begin{cases}A=(2)/(5)\n\nh=(6)/(5)\end{cases}\implies \cfrac{2}{5}=\cfrac{1}{2}\left( b\cdot \cfrac{6}{5} \right)\implies \cfrac{2}{5}=\cfrac{6b}{10}\n\n\n\cfrac{20}{5}=6b\implies \cfrac{20}{30}=b\implies \cfrac{2}{3}=b$

This is a extremely important geometry im giving brainliest and 50+ points. Provide steps as needed.

Answers

Answer:

answer: 90°

i made a whole page to show working out

hope this helps!! :)

Problem 5.Joseph is told to dissolve a medicine he has to take in 1 pint 4 ounces of water. He has a
measuring cup marked in ounces. How many ounces of water should he pour?

Answers

Answer:

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

Step-by-step explanation:

He is told to dissolve a medicine he has in 1 pint 4 ounces of water . He has a measuring cup marked in ounces .This means he can only measure the water quantity in ounces.

He definitely have to convert the pints to ounces.

1 pint = 16 ounces

Recall he has to dissolve the medicine in 1 pint 4 ounces of water.

Since 1 pint is equals to 16 ounces therefore, 16 ounces + 4 ounces = 20 ounces.

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

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Dave has already written 5 pages, and he expects to write 3 pages for every additional hour spent writing. Write a equation that shows the relationship between the hours spent writing x and the total pages written y.Write your answer as an equation with y first, followed by an equals sign.

Convert x2 + y2 = 16 to polar form.r = 16r = 4θ = 16θ = 4

HELP PLEASE!!! The following graph shows farm sector production in billions of dollars from 1994–2003. One line shows the yearly production and the other shows the average over the time span. According to the graph, in which 3 years were the values of farm sector production closest to the average for the 10 years shown?A): 1994, 1996, 1998B): 1996, 1998, 2000 C): 1998, 2000, 2002 D): 2000, 2002, 2004

Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time it takes to produce the product using the new machine is significantly less than the production time using the old machine. To test the claim, independent random samples were taken from both machines. You are given the following results.New Machine Old MachineSample Mean 25 23Sample Variance 27 7.56Sample Size 45 36As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain.