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Komok [63]
2 years ago
12

A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and vide

o games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal?

Mathematics
1 answer:
snow_tiger [21]2 years ago
6 0

Answer:

54+2.50x=4.75x

x=24 video games

Step-by-step explanation:

54+2.50x=4.75x

54=2.25x

x=24

Check answer:

54+2.5(24)=2.25(24)

114=114

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A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a
Nimfa-mama [501]

Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

Then  x₁ > x₂

3 0
2 years ago
1. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, A. n1 must
Yuri [45]

Answer:

D. n1 and n2 can be of different sizes

Step-by-step explanation:

When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.

These are:

- Sample size of both populations. Which are n1 and n2 respectively.

- then the Sample mean of two populations

- sample standard deviation.

The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.

4 0
2 years ago
A store makes a profit of $18 on a blanket after a markup of 30%. What is the selling price of the blanket?
Sidana [21]
$23.40 because 18•0.3=5.4 and 18+5.4=23.4.
6 0
2 years ago
Read 2 more answers
Joanne has a goal of buying a townhome and saved for 5 years. She expected to have the down payment of $15,000 saved by now but
serg [7]

Answer:


Step-by-step explanation:

Average amount saved per year = \frac{15,000}{5}

                                                      =$3000

So on average Joanne has saved $3000 per year. She only needs $2000 more which will not even take a year to save.

How many months it will take to save $2000:

\frac{12}{3000} \times2000

= 8 Months.

It will only take Joanne 8 moths to save $2000.

If she really wants to buy the home now she can always go for a home loan scheme for $2000. Any interest rate less than 50% per year is fine as she can save $3000 per year.


6 0
2 years ago
Read 2 more answers
If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment
Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = \frac{0.054}{12}= 0.0045

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest  

First compute the Equated monthly installments (EMI) as follows:

EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21

Now compute the interest as follows:

Interest=P\times r\\=15000\times0.0045\\=67.5

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest  

                                                 = 453.21 - 67.5

                                                 = 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0
2 years ago
Read 2 more answers
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