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iren [92.7K]
3 years ago
12

Plzzzz I’m stuck help?

Mathematics
1 answer:
kow [346]3 years ago
4 0
I believe it’s the 3rd one
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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has $658. 80. Makay
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The approximate difference between Calvin and Makayla's number of years of money invested is 2 years.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\left(1+\dfrac{r}{t}\right)^{t}

Here, A is the final amount (principal plus interest amount) on the principal amount of P with the rate of r in the time period of t.

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As the final amount Calvin has $658.80 in c years. Thus the monthly compound interest can be given as,

658.8=400\left(1+\dfrac{5}{12\times100}\right)^{12c}\\\dfrac{658.8}{400}=\left(\dfrac{1205}{1200}\right)^{12c}\\c\cong10\rm years

Now Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. The final amount she gets is $613.4 in m years. Thus,

613.4=300\left(1+\dfrac{6}{12\times100}\right)^{12m}\\\dfrac{613.4}{300}=\left(\dfrac{1206}{1200}\right)^{12m}\\c\cong12\rm years

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A manager wants to build 3-sigma x-bar control limits for a process. The target value for the mean of the process is 10 units, a
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Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Mean = 10

Sample size = 9

Standard deviation = 6

We need to find the upper and lower control limits.

so, Lower limit would be

\bar{x}-3\dfrac{\sigma}{\sqrt{n}}\\\\=10-3\times \dfrac{6}{\sqrt{9}}\\\\=10-6\\\\=4

Upper limit would be

\bar{x}+3\dfrac{\sigma}{\sqrt{n}}\\\\=10+3\times \dfrac{6}{\sqrt{9}}\\\\=10+6\\\\=16

Hence, Third option is correct.

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