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sashaice [31]
3 years ago
6

The student council made a pront of $3,000 on a car wash. If they invest the money at 5% interest

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
3 0

Answer:

$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

Step-by-step explanation:

We are given:

Principal Amount = $3000

Interest Rate r = 5% or 0.05

n=1 (compounded yearly)

Years t= 4

We need to find future value (A)

The formula used is: A=P(1+\frac{r}{n})^{nt}

Putting values in formula and finding future value A

A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375

So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

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Mike's monthly pay after taxes is $2,300.
wlad13 [49]

Step-by-step explanation:

100%=>$2,300

45%=>x

x=$2,300×45÷100=$1035

The pay left for other purposes

$2300-$1035=$1265

Or:

100%=>$2,300

55%=>x

x=$2,300×55÷100=$1265.

5 0
3 years ago
How many solutions does the nonlinear system of equations graphed below have?
NeTakaya

Answer:

Three solutions.

Step-by-step explanation:

In order to solve system of equations by graphical method, we graph the system of equations. The intersection point (s) of the two graph would give us the solution.

If the graph of the equations intersect at 2 points then there will be 2 solutions, if there are 4 intersection then there would be 4 solutions and so on.

For the given graph, we  can see that there are three intersection points.

Hence, there would be three solutions.

3 0
4 years ago
Read 2 more answers
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is regi
yan [13]

Answer:

We conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

Step-by-step explanation:

We are given that 513 employed persons and 604 unemployed persons are independently and randomly selected, and that 287 of the employed persons and 280 of the unemployed persons have registered to vote.

Let p_1 = <u><em>percentage of employed workers who have registered to vote.</em></u>

p_2 = <u><em>percentage of unemployed workers who have registered to vote.</em></u>

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the percentage of employed workers who have registered to vote does not exceeds the percentage of unemployed workers who have registered to vote}

Alternate Hypothesis, H_A : p_1>p_2     {means that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote}

The test statistics that would be used here <u>Two-sample z test for proportions;</u>

                          T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of employed workers who have registered to vote = \frac{287}{513} = 0.56

\hat p_2 = sample proportion of unemployed workers who have registered to vote = \frac{280}{604} = 0.46

n_1 = sample of employed persons = 513

n_2 = sample of unemployed persons = 604

So, <u><em>the test statistics</em></u>  =  \frac{(0.56-0.46)-(0)}{\sqrt{\frac{0.56(1-0.56)}{513}+\frac{0.46(1-0.46)}{604} } }

                                       =  3.349

The value of z test statistics is 3.349.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of z as 3.349 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

5 0
3 years ago
If a complementary angle measures 24 more than the other what is that angle
Lelu [443]
The definition of a complementary angle is one angle who can be added to another complementary angle to sum to 90 degrees. More simply, just an angle is complementary to another angle if they add up to 90 degrees. In this case, to find the other angle, you subtract 24 from 90 which equals 66 degrees.
5 0
3 years ago
put the numbers in order from least to greatest. negative square root of 29, -5.39, -27/5, -5 7/20. Thank you!
stepan [7]
-5.39,-5,27/5,7/20,29
5 0
3 years ago
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