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3 years ago

Graph the following line f(x)=-2/3x+4

Mathematics

1 answer:

RoseWind [281]3 years ago

5 0

Answer:

Ermm here I graphed it :)

Sorry for dark mode..

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You have your heart set on buying a new car in 2 years. You invest $3,200 at 3.75% interest compounded continuously. How much mo

SCORPION-xisa [38]

<u>Answer:</u>

The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$

<u>Explanation:</u>

We know final amount is given by

Where,

$A=P \times e^{r t}$

A = final amount

P = initial principal balance = $3200

r = interest rate = 3.74%

t = number of time periods elapsed = 2 years

Substituting the values in the formula

$r=\frac{3.75}{100}=0.0375$

A= $3200 \times e^{(0.0375 \times 2)}$

We know, e = 2.72

So we get A = 3449.23$ which is the available amount for the down payment of car .

7 0

3 years ago

A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

25% of all adults had used the Internet for such a purpose

This means that $\pi = 0.25$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What is the required sample size for the new study?

This is n for which M = 0.03. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2$

$n = 800.3$

Rounding up:

The required sample size for the new study is 801.

4 0

3 years ago

Find the value of x in the triangle shown below

JulijaS [17]

Answer:

x = 3

Step-by-step explanation:

we can use the Pythagorean theorem to solve this problem

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 9

x = +/- 3

we take only the positive value because a length can‘t be negative

x = 3

5 0

3 years ago

At a 3-mile cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the athlete's average speed?

Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

I hope this helped, if it did could you give me a good rating? lol

8 0

3 years ago

A customer in a store had two 50% off coupons. She tried to buy a purse with them, gave them to the cashier

antoniya [11.8K]

Answer:

Well, I think that the 50% coupons would give you only 50% off of your entire purchace. Not 100% off.

Step-by-step explanation:

8 0

3 years ago