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tensa zangetsu [6.8K]
2 years ago
14

A=1/2f(r+z), solve for r

Mathematics
1 answer:
marin [14]2 years ago
7 0

Answer:\frac{2A}{f} -2=f

Step-by-step explanation:

A=1/2(r+2)

2A=f(r+2)

2A/f=r+2

2A/f-2=r

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A car with an initial cost of $33,000 is decreasing in value at a rate of 7% each year. Write the exponential decay function to
Brut [27]

Answer:

n= 11.65 years

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $33,000

Future Value (FV)= $15,000

Decrease rate (d)= 7%

<u>To calculate the number of years it will take to reach $15,000; we need to use the following formula:</u>

<u></u>

n= ln(FV/PV) / ln(1+d)  

n= ln(15,000/33,000) / ln(1.07)

n= 11.65 years

7 0
3 years ago
What is the range shown in the scatter plot
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You have to line them up for example 1 is in a straight line and so is 3 and 5 you can choose between 3 and five but what about the middle 4.
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2 years ago
Danny's Bike Shop sells a certain model of racing bike for $550. The same bike can be bought at a competing shop for 7 percent l
AleksAgata [21]

Answer:

$511.5

Step-by-step explanation:

Given: Selling price of bike at Danny´s shop is $550

           Bike is sold 7% less at competitor´s shop.

Lets find the discounted amount at Danny´s competitor shop.

∴ \frac{7}{100} \times 550 = \$ 38.5

Now, finding the cost of bike at Danny´s competitor.

Cost of bike at Danny´competitor= (\textrm{Price at dannys shop - discount provided by competitor})

Cost of bike at Danny´s competitor= 550-38.5= \$511.5

∴ Cost of bike at Danny´s competitor is $511.5.

6 0
3 years ago
Please help me as fast as you can please
DaniilM [7]

Answer:

A B and D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics
hjlf

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

\mu _d = \mu _{post} - \mu _{pre}

Then the null hypotheses and alternative hypotheses will be

H₀: \mu _d = 0

Hₐ: \mu _d > 0

Then the test statistic will be

\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5

Then

\rm S_d = 6.02

The test statistic value is given by

\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16

Since this is a right-tailed test, so the critical value is given by

\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that \mu _d > 0 that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

7 0
2 years ago
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