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My name is Ann [436]
1 year ago
7

For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram

to show the numbers of food vouchers and raffle tickets in 111, 222, 333, and 444 donor packages. Choose 1 answer: Choose 1 answer:

Mathematics
1 answer:
Vitek1552 [10]1 year ago
3 0

Answer:

It's A

Step-by-step explanation:

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3. Use Sydney's Minimum Payment Summary to answer the statements that follow.
VashaNatasha [74]

Explanation:

<u>Part 1</u>

The total monthly payment will remain level at the amount currently scheduled for Month 1. The revised totals are shown at the bottom of the attachment.

When Card C is fully paid, the same total payment will continue to be used until all card debts are paid.

__

<u>Part 2</u>

The excess over the sum of minimum payments will be applied to Card C (24% rate). The minimum payment will continue to be made for the other credit cards. The revised Card C payments are shown at the bottom of the attachment.

When Card C is fully paid, the excess over the sum of minimum payments will be applied to Card B (20% rate).

_____

<em>Comment on the question</em>

You can't think too much about the given numbers. The minimum payment amounts given here decrease way faster than you would expect. For example, the $1.36 decrease in the minimum payment for Card A from Month 1 to Month 2 corresponds to a balance decrease of more than $90 when the interest rate is 1.5% per month. That is not possible if the payment is only $32.19.

Apparently, the question is not about the actual numbers. Rather, it is about the strategy of debt reduction. Some (bogus) numbers are given here just so you have something to think about.

The approach described in the problem statement has been given the name "debt avalanche" to distinguish the approach from Dave Ramsey's "debt snowball." The "debt snowball" approach pays off the <em>minimum balance</em> first, not the highest interest rate. It also includes some extra cash above the sum of minimum balances. ($100 is suggested; more is better.) The psychological effect of the quick win is considered to be more important than the extra cost of carrying the higher-rate debt for a longer period.

4 0
2 years ago
A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
1 year ago
How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner
Liula [17]

Answer:

The 95% confidence interval would be given by (14444.04;33657.30)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860

We can calculate the mean and the deviation from these data with the following formulas:

\bar X= \frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}

\bar X=24050.67 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=17386.13 represent the sample standard deviation

n=15 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=15-1=14

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that t_{\alpha/2}=2.14

Now we have everything in order to replace into formula (1):

24050.67-2.14\frac{17386.13}{\sqrt{15}}=14444.04    

24050.67+2.14\frac{17386.13}{\sqrt{15}}=33657.30

So on this case the 95% confidence interval would be given by (14444.04;33657.30)    

6 0
1 year ago
Evaluate y = ln (x − 2) for the following values of x. Round to the nearest thousandth.
MatroZZZ [7]

Answer:

0

0.693

1.386

graph A

Step-by-step explanation:

5 1
1 year ago
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Which mathematical concepts were the result of the work of René Descartes? Check all that apply. theory of an Earth-centered uni
Tanzania [10]
The appropriate response is the third one. A Cartesian organize framework is an arrange framework that determines each point exceptionally in a plane by a couple of numerical directions, which are the marked separations to the point from two settled opposite coordinated lines, measured in a similar unit of length. Each reference line is known as an organize pivot or only hub of the framework, and the point where they meet is its birthplace, as a rule at requested combine (0, 0).
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2 years ago
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