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2 years ago

9

If Eric Sanchez saves $60 a month by using coupons and doing comparison shopping, (a) what is the amount for a year? (b) What wo

uld be the future value of this annual amount over 10 years, assuming an interest rate of 3 percent?

1 answer:

svetoff [14.1K]2 years ago

4 0

A. Annual Savings = $60 * 12 = $720

b. $8384.48

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Which of the following inequalities matches the graph? (1 point)

Aleksandr [31]

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

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2 years ago

(12a + 8) + (4a + 3) + (5 + a) =

PSYCHO15rus [73]

Answer:

17a + 16 =

Step-by-step explanation:

Add all a's

then all numbers w/o letters

you cannot add them together bc it would be like adding apples to carrots (thats what my teacher said)

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2 years ago

The circumference of a circle measures 11.27 pi feet. What is the measure of the diameter of the circle?

scoray [572]

C=11.27π feet
Diameter=11.27 feet. Hope it help!

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3 years ago

Several years ago, 38% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Colt1911 [192]

Answer:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values are:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The estimated proportion of people satisfied with the quality of education the students receive is given by:

$\hat p =\frac{499}{1165}= 0.428$

The confidence interval for the proportion if interest is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing the info given we got:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

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3 years ago

In a coordinate plane, triangle ABC has vertices A(-4,5), B(-4,-4), and C(3.-4). Find the perimeter of triangle ABC to the neare

Aneli [31]

The perimeter of the triangle is B) 27.4
Please let me know if you need an explanation.

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2 years ago