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blsea [12.9K]
2 years ago
13

Rashawn recently spent $100 to open a store selling tee-shirts. At his business, he purchases plain tee-shirts for $11 each, pri

nts graphics on them, and then sells them for $26 each. What is the minimum number of tee-shirts that Rashawn would need to sell in order to make a profit of at least $400?
Mathematics
1 answer:
Doss [256]2 years ago
5 0
To answer this question you can write an equation that represents this situation.

I would subtract $11 (the cost per shirt) from the selling price to get $15 profit for each shirt. He paid $100 already and wants to profit $400, so the amount he needs to make is $500.

$15x = $500 would be the equation needed to answer this. x stands for the number of shirts.

Divide both sides by $15 to get
x = 33.33.... shirts.

He would need to sell at least 34 to make at least $400 profit.
You might be interested in
n 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to comp
Zarrin [17]

Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that p = 0.026

100 runners are chosen at random

This means that n = 100

Find the probability that at least 5 of them did not finish the marathon

This is:

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718

P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916

P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531

P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207

P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

4 0
2 years ago
TWENTY POINTS!!! Baxter is thinking about buying a car for $18,500. The table below shows the projected value of two different c
Anika [276]
Part A: Linear function

explanation:
The table for the value of the two cars with time are given as follows;
Years Car 1 Car 2
1 18,500 18,500
2 17,390 17,500
3 16,500 16,346.6
Plotting the give data, we have;
From the plot of the data, the function that can be used to describe the values of both cars after a fixed number of years is a linear function

Hope this helps a bit
7 0
2 years ago
Read 2 more answers
1. The value of k for which equation 9x2 + 8xk+8 = 0 has equal roots is:
Nesterboy [21]

Answer:

Option C

+ or - 3

Step-by-step explanation:

A quadratic equation will have equal roots if its Discriminant is equal to zero.

the discriminant in this case is b^{2}- 4 ac

considering the equation,

9x^{2} + 8xk+8 = 0

a = 9, b= 8k, c=8

Replacing the variables in the original equation with their respective values, we will have:

8k^{2}- 4 \times 9 \times 8=0\\64k^{2}=288\\k=\sqrt{288/64} =\sqrt{9/2}

Note: The values of k are meant to be + or -2.12 as seen from the workings

However, these are not in the options given. the closest choice to it

is + or - 3

8 0
2 years ago
From a deck of 52 cards, one card is drawn at random. Match the following subsets with their correct probabilities.
zhenek [66]
1.3/13(if you mean jacks queens and kings)
2.1/52
3.1/2
4.1/13
5.1/4
8 0
2 years ago
Read 2 more answers
The Palace of Peace and Accord in Astana, Kazakhstan, was built in 2006. The building has a square right pyramid structure. The
dem82 [27]
The height you are looking for is called the "slant height".
slant height^2 = height^2 + (half the base length)^2
slant height^2 = 62^2 + 31^2
slant height^2 = 3,844 + 961
slant height^2 = 4,805
slant height = <span> <span> <span> 69.3181073025 </span> </span> </span>
slant height = <span> <span> <span> 69.3 (rounded)</span></span></span>

Source:
http://www.1728.org/volpyrmd.htm



3 0
2 years ago
Read 2 more answers
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