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Mars2501 [29]
2 years ago
8

Your office needs to deliver products to various sites in your town. You can hire a firm to make those deliveries for $200 per m

onth plus mileage of 50 cents per mile based on an average of 1200 miles per month. Or you can lease a truck for $350 per month and pay the related expenses. You estimate that the related expenses for gas, insurance and other are $480 per month.
Which would be the best deal, contracting or leasing? How much would you save in a year?

a. Contracting, $30
b. Leasing, $30
c. Contracting, $360
d. Leasing, $360
Mathematics
1 answer:
harkovskaia [24]2 years ago
5 0
The answer is:Contracting 30
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Marie wants to know the most popular car for parents. She plans to survey the people entering the mall from 10:00 a.m. to 11:00
Andreyy89

Answer:

C. Marie should make sure she surveys both the fathers and mothers.

3 0
2 years ago
A polling organization announces that the proportion of American voters who favor congressional term limits is 64 percent, with
kvasek [131]

Answer:

We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Step-by-step explanation:

95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.

95 % confidence  means that of all the sample about 95 %  values are within in the given range.

And only 5% sample are not included in the given parameter.

Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.

3% margin of error usually occurs when the data size is small.

As the data size increases the margin of error decreases.

So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.

Margin of error= z *σ/√n→

This indicates that as the sample size decreases the margin of error increases and vice versa.

3 0
2 years ago
1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
how fast would 1.5 times the faster rowing speed be? before you solve tell the number of decimal places on your answer PLZ HELP
AleksAgata [21]

How far are you rowing?

If your rowing speed is 1.5 times faster your going about 16 miles up to 2 hours in the river

Sorry if this is wrong-

~zaro~

5 0
2 years ago
by selling a cell phone for 2400rs a shopkeeper makes a profit of 25% what would be his profit percentage if it was 2040rs​
xxMikexx [17]

Answer:

6.25%

Step-by-step explanation:

We first begin by solving for the original price of the cell phone.

if 2400 = 125%

         x = 100%

By cross multplying, we get

125x = 2400 * 100

x = 240000/125

x = 1920rs

To find the profit percentage on the new sale price, we repeat another set of equations

100% = 1920

      x = 2040

1920x = 2040 * 100

x = 204000/1920

x = 106.25%

His new profit percentage is 6.25%

7 0
3 years ago
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