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VladimirAG [237]
3 years ago
13

Cecilia has $780 in an account earning 5.2% simple interest. How much more interest would her account earn in 6 years with annua

lly-compounded interest?
Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0

Answer:

$1057.3

Step-by-step explanation:

First we'll find the Interest no. 1, which is simple interest, assuming the time 1 year:

S.I= PRT/100

S.I= 780*5.2*1/100

S.I=$40.56

Now we'll find interest no.2, which is compound interest, time is 6 years, Principal amount (780) will remain the same as well as the rate thus (putting in the formula of compound interest- annual- A=P(1+\frac{R}{100} )^t):

A= 780(1+\frac{5.2}{100})^6

A= $1057.3

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When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n whic
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Answer:

95% Confidence interval for the mean

142.8 \leq\mu\leq158.4

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean of a finite population.

The error is multiplied by the following finite population correction factor:

cf=\sqrt{\frac{N-n}{N-1} }

The standard deviation can be estimated as

\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963

The 95% confidence interval has a z value of 1.96, so it becomes:

M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4

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The measure of an angles suppliment is 53° more than twice that of its compliment. find the angle.
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