The interest of the sum of money at the end of 10 years is one third of the sum. Find the rate of interest

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

7 0

Answer:

3.33%

Step-by-step explanation:

Intrest = P. A. *Intrest Rate * Time

(1/3)*P. A. = P. A. *Intrest Rate * 10

Intrest Rate = 1/30)=3.33%

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The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

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We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).

We will now use the formula

$n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})$

We will now substitute all the data that we have and we will get

$n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)$

$n=(32.9)^2\times0.25$

$n=270.6025$

which can approximated to n=271.

So, the brand manager needs a sample size of 271

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2 years ago

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hodyreva [135]

Hey there!

$\ \ \ \ \ \ \ \ \ \Downarrow \ \Downarrow \Downarrow\ \ \ \ \Downarrow \ \ \ \ \Downarrow

\\ \\ \left[\begin{array}{ccc} \left[\begin{array}{ccc} \left[\begin{array}{ccc}5(4x + 2)/7y\end{array}\right] \end{array}\right] \end{array}\right]$

$(5)=(term) \\ \\ (sum)=(+) \\ \\ (product)= (x) \ or \ (*) \\ \\ (4)=(coefficient) \\ \\ (quotient) = (divided \ by \ symbol) \\ \\ (factor)=(2) \\ \\ \boxed{\boxed{Hope \ this \ helps}}$

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2 years ago

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Can anyone help? Will give Brainly + 18 pts

Ainat [17]

Answer:

-2 + × = y

Step-by-step explanation:

I think this is the answer because it's asking for an expression which this would be one.

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2 years ago

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