Which statement is true?

• capital one is advertising a 60-month, 5.99% apr motorcycle loan. if you need to borrow $8000 to purchase your dream harley da

Tamiku [17]

Given:
P = $8000, the principal
r = 5.99% = 0.0599, the interest rate
t = 60 months = 5 years, the duration
Assume n = 12, monthly compounding.

n*t = 12*5 = 60
r/n = 0.0599/12 = 0.004992

The total value of the loan is
A = P(1 + r/n)⁶⁰
= 8000(1.004992)⁶⁰
= 10785.434

Monthly payment = 10785.434/60 = $179.76

Answer: $179.46

5 0

3 years ago

Read 2 more answers

You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid

ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 250, \sigma = 75$

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{250 - 150}{75}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 150}{75}$

$X - 150 = 1.645*75$

$X = 274$

274 shelters will be needed.

5 0

3 years ago

A graphic designer chose a base font size and represented it as 1 on the scale. She then listed some consecutive scale sizes. Tw

Flauer [41]

Answer: 1.6464

Step-by-step explanation: I think.

4 0

4 years ago

A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4

Oksanka [162]

<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

$y = -1.437 x + 197.686$

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

$y = -1.437 (14) + 197.686$

Now, we solve.

$y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568$

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

$y = -1.437 (50) + 197.686$

Now, we solve.

$y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836$

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

7 0

4 years ago

Noah is taking an online survey.After answering 16 questions,he gets a message that he has completed 80% of the survey.Noah want

adell [148]

Answer: 20 questions

Step-by-step explanation:

From the question, Noah is taking an online survey and after answering 16 questions, he gets a message that he has completed 80% of the survey.

To get the total number of questions in the survey goes thus:

Let the total number of questions be y.

80% of y = 16

80/100 × y = 16

0.8 × y = 16

0.8y = 16

Divide both side by 0.8

y = 16/0.8

y = 20

The survey has 20 questions.

4 0

3 years ago