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Crank
4 years ago
5

enrique earned $101.40 in interest over 6 years in a savings account that pays 1.3 % simple interest per year. how much did Enri

que originally deposit?
Mathematics
1 answer:
victus00 [196]4 years ago
7 0
Simple interest, I = 101.40
Time, t = 6 years
interest, i = 1.3%

Interest, I=Pit, rearrange
Principal, P=I/(it)=101.40/(6*0.013)=1300
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Solve for the value of r.<br> r =
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r=8

Step-by-step explanation:

45=6r-3

48=6r

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11. Mrs. Jackson buys bottles of juice. Her
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4 so B

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Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on t
aleksandrvk [35]

It will take them approximately 3 months to pay off the balance on the credit card

<h3 /><h3>First Month</h3>

To solve this problem, we need to find the interest on 3287.90 at 14.5%

for the first month, we would have

\frac{x}{3287.90}=\frac{14.5}{100}  \\x=476.74

Now we divide this by 12 to give the interest payable on the first month

\frac{476.75}{12}=39.73

So we have

(3287.90+39.73)-1200=2127.63

<h3>Second Month</h3>

We would do the same thing for the second month and it will give us

(\frac{x}{2127.63}=\frac{14.5}{100})/12\\\frac{308.506}{12}=25.71

For the second month, we have $25.71 as the interest payable

We can calculate how much would be left after the second month.

(2127.63+25.71)-1200=953.34

<h3 /><h3>Third Month</h3>

In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.

From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.

The balance at the end of each month are;

  • $2,127.63
  • $953.34
  • $0

Learn more on APR here;

brainly.com/question/11686424

6 0
2 years ago
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

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".

\bar X=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

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

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

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3 years ago
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Answer:

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