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Bogdan [553]
1 year ago
5

A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the s

elling price by 25%. Store employees get a 50% discount off the current price. Macy works at the store and sees the shirts going into the second markdown month. What will the pre-tax price of the shirt be for Macy?
Mathematics
2 answers:
torisob [31]1 year ago
5 0

Answer:

the answer is 5.63

Tasya [4]1 year ago
3 0
Given:
Original price = 20
reduces selling price by 25% every month it's not sold.

First markdown month:
20 * (100%-25%) = 20 * 75% = 15

Second markdown month
15 * 75% = 11.25

Macy, employee gets a 50% discount off the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or 5.63

The pre-tax price of the shirt for Macy will be $5.63
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In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba
amm1812

Answer:

<em>X ball bearings will be made in 1 hour and 20 minutes</em>

Step-by-step explanation:

<u>Proportions </u>

The proportions give us an important tool to easily solve common problems of any type. We know that:

Company ABC can make X ball bearings in 3 hours.

Company DEF can make X ball bearings in 4 hours.

Company GHI can make X ball bearings in 6 hours.

In one hour, each company can make

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

Working together, they can make

\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}

ball bearings. Operating

\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}

If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need

\displaystyle \frac{4}{3} hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes

X ball bearings will be made in 1 hour and 20 minutes

8 0
1 year ago
1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?
Natasha_Volkova [10]

Answer:

f(n) =4 + f(n-1) \\for\ n>2

Step-by-step explanation:

Given

f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18

Required

Determine the formula

First, we need to solve common difference (d)

d = f(n) - f(n-1)

Take n as 2

d = f(2) - f(2-1)

d = 6 - 2

d = 4

Represent each function as a sum of the previous

f(1) = 2

f(2) = 2 + 4 = f(1) + 4

f(3) = 6 + 4 = f(2) + 4

f(4) = 10 + 4 = f(3) + 4

f(5) = 14 + 4 = f(4) + 4

Represent the function as f(n)

f(n) =f(n-1) + 4

Reorder

f(n) =4 + f(n-1) \\for\ n>2

7 0
2 years ago
Tony and Manuel were trimming the branches of a tree. Tony was using an 18 ft ladder and Manuel was using a 24 ft ladder. Both l
REY [17]

Answer:

9.33 feet = 111.96 inches

Step-by-step explanation:

If we have similar triangles, the rate between matching sides is the same.

So the length of the smaller ladder (18 ft) over the length of the taller ladder (24 ft) is equal to the distance from the bottom of the smaller ladder to the tree (7 ft) over the distance from the bottom of the taller ladder to the tree (x ft):

18 / 7 = 24 / x

x = 7 * 24 / 18

x = 9.33 feet

To find this measure in inches, we just need to multiply by 12:

x = 9.33 * 12 =  111.96 inches

3 0
2 years ago
what are the solution(s) to the quadratic equation x2 – 25 = 0? x = 5 and x = –5 x = 25 and x = –25 x = 125 and x = –125 no real
sattari [20]
The left hand side expression of the given equation is a difference of two squares. The first term, x², is a square of x and the second term, 25 is the square of 5. The factors of the expression are (x - 5) and (x + 5).
                                   (x - 5)(x + 5) = 0
The values of x from the equation above are x = -5 and x = 5.
3 0
1 year ago
Read 2 more answers
A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's
wlad13 [49]

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{(-43.5)-13.2}{18.9}=\dfrac{-56.7}{18.9}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{32.1-13.2}{18.9}=\dfrac{18.9}{18.9}=1\\\\\\

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

P(-43.5

6 0
2 years ago
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