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sattari [20]
3 years ago
14

The number of students in the class (x) will be divided into teams of 4, except one team will have 5, resulting teams in all. Wr

ite an mathematical equation for the statement above.
​
Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

x = 4y + 5

Step-by-step explanation:

x represents the total students in the class. We don't know how many teams of four there will be, so we represent that with y. 4y represents the total students in teams of 4. We know there is one team of 5, so that is added to 4y.

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You need 10,000 to pay for your final college tuition. you find a loan it is compounded quartely at 6.25% for 10 years. how much
Amanda [17]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 6.25\%\to \frac{6.25}{100}\to &0.0625\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.0625}{4}\right)^{4\cdot 10}
\\\\\\
A=10000(1.015625)^{40}\implies A\approx 18592.39366677226890
3 0
3 years ago
3(2k-5)=6(k-4)+9
charle [14.2K]

Answer:

infinite solutions

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Explain why the numerical expression 4 less than 20 is written as 20-4 and not 4-20
Phantasy [73]
When converting English phrases into mathematical expressions/equations, we do things from left to right. That is why it's 4 - 20 instead of 20 - 4.

This rule is applied to division as well.
8 0
3 years ago
How many meters are equivalent to 400 centimeters???
nekit [7.7K]

Answer:

4

Step-by-step explanation:

there are 100 cm in 1 m

400/100 = 4

8 0
2 years ago
Read 2 more answers
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh
mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

H_0: p \leq 0.4

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

H_1: p > 0.4

The test statistic is:

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

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that p = 0.4, \sigma = \sqrt{0.4*0.6}

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

n = 200, X = \frac{90}{200} = 0.45

Value of the test statistic:

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

z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = 1.44

Thus the correct answer is given by option a.

8 0
3 years ago
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