Amy deposits S500 into an account that pays simple interest at a rate of 5% per year. How much Interest will she be paid in the first 4 years?

Answer:

A

Step-by-step explanation:

The equation is V=4/3 times Pi times radius^3

Answer:

27 cents

Step-by-step explanation:

10% of 90= 9

9x3=27

Answer:

p x t x r / 100

90 x 10 x 3 / 100

=27

Answer:e

Step-by-step explanation:

-(5/3)=-5/3

Answer:

area = 5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

A = [tex]\frac{a+b}{2\\}[/tex] h

= [tex]\frac{3+5}{2}[/tex] · 3

= 12 ft

I hope this help

Answer:

The test statistic is [tex]z = -0.28[/tex]

Step-by-step explanation:

First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A random sample of children in two different schools found that 16 of 40 at one school

This means that:

[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]

13 of 30 at the other had this infection.

This means that:

[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]

Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.

At the null hypothesis, we test if there is no difference, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

And at the alternate hypothesis, we test if there is difference, that is:

[tex]H_a: p_1 - p_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]

[tex]z = -0.28[/tex]

The test statistic is [tex]z = -0.28[/tex]

Answer:

A=wl=4·7=28 answer is 28

Step-by-step explanation:

Answer:

the answer is 28

Step-by-step explanation:

you do lengthh times width

the length is 7 the width is 4

so 7 times 4 is 28

Answer: see below...

Step-by-step explanation:

Square units are when we are finding the surface area.

Since it is side x side, so ^2.

Cubic units are when we are finding the volume.

Since it is side x side x side, so ^3.

Answer:

true

true

false

Answer:it can hold 23 passangers

Step-by-step explanation:

Answer:

Hello! if Chris garden is a square shape then the answer is 40 7/10 in fraction form or 40.7 in decimal form

Answer:

here are the cordinates you need to mark :

Step-by-step explanation:

(1,15) : 1x,15y

(2,20) : 2x,20y

(3,35) : 3x,35y

(4,45) : 4x,45y

(5,70) : 5x,70y

Hope this helps :)

Answer:

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

Step-by-step explanation:

At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.

Uniform probability distribution:

Has two bounds, a and b. The probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Red for 60 seconds

So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, [tex]a = 0, b = 60[/tex]

Probability that he will have to wait at a red light for more than 15 seconds?

[tex]P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75[/tex]

0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds

Answer: 33

Step-by-step explanation: When a tangent and radius intersect (as in the diagram) they will always be perpendicular. And using the Triangle Sum Theorem that all angles add up to 180 when get that m<BCA must be 33 degrees.

Answer:

What type of line the picture represent

Answer:

145

Step-by-step explanation:

So lets recall what a supplementary angle is. A suppelemenatry angle is  two angles that make up 180 degrees.(half circle)

This is different from a complenenary angle with is two angles that make up 90 degrees(quarter circle)

Ok, so we can write the equation for the supplementary angle as:

35+b=180

Lets subtract the angle we knwo from both sides:

b=145

Now we know that B(second angle) must be equal to 145 degrees.

Hope this helps!

Answer:

B= 43

Step-by-step explanation:

B=19+(6)(4)

B=19+24

B=43

Answer:

x=13

Step-by-step explanation:

18-5=13. You have to subtract 5 from 5 itself and then 18.

Answer and Step-by-step explanation:

It ensures that you don't accidently skip a step or get confused by which numbers are being used. By writing it down, it allows you to look back and see if you answer was correct or incorrect.

For example:

On a test, you need to do a complicated math problem that you know you can do in your head. It would still be a good idea to write down the process, so that you can see in front of you the numbers you get and results. If it is incorrect when checking over you answers, then you can go through the steps you made to see where you made a mistake.

#teamtrees #PAW (Plant And Water)

Answer:

Because when you need to use this information in the future it will be in your notebook/binder. When you study each lesson you will have the answers in your notes for when you do a Test or quiz. When doing math in your head it is called mental math but it is only used when needed.

Step-by-step explanation:

- chicken box

Answer:

this may help you.look it once

Step-by-step explanation:

.

Answer:

B, C and F

Step-by-step explanation:

Negative numbers go farther and father to the left on a number line the higher in value they get.

Answer:

B. f (4) = 4 · [tex]20^{3}[/tex]

Step-by-step explanation:

I did the quiz too

Answer:

12.327X + 452.084

45206.327

Step-by-step explanation:

The linear regression model obtained by fitting the data using technology is :

ŷ = 12.327X + 452.084

Where, 12.327 = slope ; 452.084 = Intercept ; X = appraised value ; y = Area

The estimated error variance which is the degree of variation between the actual and predicted value.

Error variance = ΣSSE /n-2

n = sample size = 15

ΣSSE = 587682.2638

Error variance = 587682.2638/13

Error variance = 45206.327

Answer:

answer: 85

Step-by-step explanation:

These add up to 360 and

85 + 85 + 95 + 95 = 360 so 85 is the answer.

Hope that helps!

Answer:

slope: 4

Y-intercept: -7

Step-by-step explanation:

you would have to solve for y so you subtract the 7 on both sides. then it is in slope-intercept form which is y=mx+b where m is slope and b is the y-intercept. the slope would be 4 and the y-intercept would be -7

Answer:

22.18

Step-by-step explanation:

c squared = a squared + b squared - 2ab cos c

or a instead of c in this case.

144+225-360(-0.342)

square root 492.12

Answer:

shhdhd

Step-by-step explanation:

Oh wow great marks