1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zimovet [89]
3 years ago
5

A soccer club spent $97.50 on trophies from a custom trophy company. The cost of manufacturing x custom trophies is $18.50 for t

he setup cost, plus $12.50 per trophy. To ship the trophies, the company charges a standard fee of $4 per order plus $2.50 per trophy. How many trophies did the soccer club order? Show your work and explain your reasoning in the space below.
Mathematics
1 answer:
Tomtit [17]3 years ago
6 0
They bought 5 trophies total

1st trophy cost $37.50
($18.50+$12.50+$4+$2.50=$37.50)
Each additional trophy cost $15
($12.50+$2.50=$15)

They spent $97.50 total
$97.50-$37.50=$60
Additional trophies $15
$15*X=$60
4 trophies=$60+$37.50 for 1st trophy
$60+$37.50=$97.50


You might be interested in
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

4 0
3 years ago
What is the domain of the function? <br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20" id="Tex
BabaBlast [244]

Answer: The first option.

Step-by-step explanation:

This domain has no domain restrictions. Therefore, it covers all real numbers. x∈R

3 0
3 years ago
At the city museum, child admission is $6.00 and adult admission is $9.20. On Tuesday, twice as many adult tickets as child
jekas [21]

Answer:

38

Step-by-step explanation:

3 0
3 years ago
Find the value of x so that f(x)=7
3241004551 [841]

Answer:

-3

Step-by-step explanation:

7 0
3 years ago
Suppose a researcher is testing the hypothesis Upper H 0​: pequals0.4 versus Upper H 1​: pless than0.4 and she finds the​ P-valu
andre [41]

Answer:

D. If the​ P-value for a particular test statistic is 0.33​, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true.

D. Since this event is not​ unusual, she will not reject the null hypothesis.

Step-by-step explanation:

Hello!

You have the following hypothesis:

H₀: ρ = 0.4

H₁: ρ < 0.4

Calculated p-value: 0.33

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

In this case, you have a 33% chance of getting a value as extreme as the statistic value if the null hypothesis is true. In other words, you would expect results as extreme as the calculated statistic in 33 about 100 samples if the null hypothesis is true.

You didn't exactly specify a level of significance for the test, so, I'll use the most common one to make a decision: α: 0.05

Remember:

If p-value ≤ α, then you reject the null hypothesis.

If p-value > α, then you do not reject the null hypothesis.

Since 0.33 > 0.05 then I'll support the null hypothesis.

I hope it helps!

3 0
3 years ago
Other questions:
  • Tell whether the relationship is a proportional relationship
    10·1 answer
  • It said I would level up from Ambitious on brainly, and I haven't. It said I would when I get 5 brainliest, and 500 points. But,
    13·2 answers
  • Guys need help with a math equation brother
    8·1 answer
  • Need help on answering number 9.
    8·2 answers
  • Find the missing side lengths
    10·1 answer
  • What is the volume of the cone?
    14·1 answer
  • Hello I really need help. Thanks :)
    11·1 answer
  • What is the range of the data? 99.7, 101.8, 103.6,98.6, 100.2, 102.9
    14·2 answers
  • Someone help me solve this please ASAP
    7·1 answer
  • 5 -2[3 + (5-1)* ÷ 2•5]
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!