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3 years ago

What are the coordinates of the x and y intercepts of the equation 3x+2y=12

1 answer:

4 0

To find the x-intercept you must make y=0

3x+2y=12 - substitute 0 for y
3x+2(0)=12 - multiply 2 and 0
3x+0=12 - add zero
3x=12 - divide by 3
x=4

To find the y-intercept you must make x=0

3x+2y=12 - substitute 0 for x
3(0)+2y=12 - multiply 3 and 0
0+2y=12 - add 0 and 2y
2y=12 - divide by 2
y=6

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Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c

Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

$A=P+SI$

$SI=\frac{P\times r\times t}{100}$

Plugging the values we get:

$SI=\frac{2000\times 4\times 7}{100}=560.00$

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

$\$2000.00+\$560.00=\$2,560.00$

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

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3 years ago

It costs a general admission fee of $6 to get into the fair and then $1 for each ride. Which of the following equations would re

joja [24]

Answer:

6+1x=y

Step-by-step explanation:

-just add 6 because you will only pay it once to enter the fair

-place x for the number of rides the person gets on and 1 next to it to multiply

- place Y at the end because we don't know how much the person spent

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3 years ago

Which set of side lengths can form a triangle?

professor190 [17]

Step-by-step explanation:

6 cm, 8 cm, and 10 cm (B) form a triangle.

The Triangle Inequality Theorem states that the sum of the lesser two sides must be greater than the third.

7 0

2 years ago

Write an equation of a line that is perpendicular to the line x-2y=8

Helen [10]

2x+y=8 is the equation perpendicular to x-2y=8.

6 0

3 years ago

Read 2 more answers

Consider the following hypothesis test:

Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0

4 years ago