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Mariulka [41]
3 years ago
9

The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, p, a certain interest rate,

r, and over time, t. What is the value for t, after the equation is rearranged?
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0
A=p (1+rt)
T= ((A÷p)-1)÷r
Korvikt [17]3 years ago
7 0

Answer:

t=\frac{A}{pr}-\frac{1}{r}


Step-by-step explanation:

The equation given is A=p+prt

Doing some algebra manipulation, we can solve for t:

A=p+prt\\prt=A-p\\t=\frac{A-p}{pr}\\t=\frac{A}{pr}-\frac{p}{pr}\\t=\frac{A}{pr}-\frac{1}{r}


So t=\frac{A}{pr}-\frac{1}{r}

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An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand
Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

Step-by-step explanation:

Previous concepts

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".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
3 years ago
Because hit 7 more home runs than Beverly. Because hit 22 home runs. How many home runs did Beverly hit?
nekit [7.7K]
The answer choice isn't even up there. The answer is 15. Since Because hit 22 home runs; you would just subtract to find the number of Beverly's home runs since it says "7 more home runs than Beverly".


22 - 7= 15.

Hopefully this helps 



7 0
3 years ago
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Standard form:: Ax + By=C

Step-by-step explanation:

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