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3 years ago

9

Violet and Toby deposit money into their savings accounts at the end of each month. The table shows the account balances. If the

ir patterns of saving continue, and neither earns interest nor withdraws any of the money, how will the balances compare after a very long time?

2 answers:

Rasek [7]3 years ago

5 0

Answer:

A is correct

Step-by-step explanation:

Because if you imagine a number for Toby like 720. His would double while violet's will only go by 20

Trava [24]3 years ago

3 0

Answer:

Toby's balance will be greater.

Step-by-step explanation:

A graph representing Violet's savings will be linear. This is because she deposits $20 every month.

A graph representing Toby's balance will be exponential. This is because he doubles the account balance every month.

After a very long time, Toby will be depositing much more than Violet is; this means his balance will be greater.

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The dot plot above identifies the number of pets living with each of 20 families in an apartment building. What fraction of the

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Step-by-step explanation:

refer the above attachment

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1 year ago

Select all the expression that have value of 25 a.500divided by 6 b. 600 divided by 3 c.100divided by 4 d.150 divided by 5 e.200

goldfiish [28.3K]

The answer is C. and E.
--
Work shown below:
A. 500 divided by 6 equals 83.33.
B. 600 divided by 3 equals 200.
C. 100 divided by 4 equals 25. (CORRECT)
D. 150 divided by 5 equals 30.
E. 200 divided by 8 equals 25. (CORRECT)
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2 years ago

What are 2 common mistakes people make when using quotient rule with exponents?

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Answer:

1. Not accounting for the difference in the base of the exponent when applying the quotient rule.

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6 months ago

There are 128 students going on a field trip to pan for gold. If they are going in vans that hold 7 students each, how many vans

Viefleur [7K]

128/7 is roughly 18.3 so you would need 19 vans. 18 of them would fit all 7 so you’d have 126 so the last van would fit 2 students meaning it won’t be full

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2 years ago

The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

7 0

2 years ago