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3 years ago

5. A dinner bill of $31.37 had 6% tax added to that total. What was the amount of the tax?

Mathematics

1 answer:

stellarik [79]3 years ago

3 0

$31.37 multipled by 6% (or 0.006)= $1.88 in tax.

The total amount for the dinner bill would be $33.25 including tax.

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What is X? Please show me how to do this!

balu736 [363]

Answer:

$x = 8.92$

Step-by-step explanation:

$\cos(42) = \frac{x}{12} \\ 0.74 = \frac{x}{12} \\ x = 0.74 \times 12 = 8.92$

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3 years ago

According to industry sources, online banking is expected to take off in the near future. The projected number of households (in

Airida [17]

Answer:

(a) The least-square regression line is: $y=4.662+2.709x$ .

(b) The number of households using online banking at the beginning of 2007 is 31.8.

Step-by-step explanation:

The general form of a least square regression line is:

$y=\alpha +\beta x$

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

(a)

The formula to compute intercept and slope is:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \end{aligned}$

The values of ∑X, ∑Y, ∑XY and ∑X² are computed in the table below.

Compute the value of intercept and slope as follows:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}$

The least-square regression line is:

$y=4.662+2.709x$

(b)

For the year 2007 the value of x is 10.

Compute the value of y for x = 10 as follows:

$y=4.662+2.709x$

$=4.662+(2.709\times10)\\=4.662+27.09\\=31.752\\\approx 31.8$

Thus, the number of households using online banking at the beginning of 2007 is 31.8.

5 0

3 years ago

7. A car rental company rents a car for $52 per day and $0.15 per mile. What's the rental fee for a car that's rented for 3 days

Vlad [161]

The rental fee would be $186 rental fee

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3 years ago

Lian is paid for SR 75 per hour. Using p for her pay and h for the hours of work, which function rule represents

Andru [333]

Answer:

The function p = 75h represents this situation.

Step-by-step explanation:

We know the equation of linear equation in the slope-intercept form is

$y = mx+b$

where

m = rate of change = slope

b = y-intercept

Let 'h' be the number of hours

Let 'p' be the pay

Given that Lian is paid SR 75 per hour.

so the rate of change of slope = m = 75

As there is no initial condition, so b = 0

y = mx+b

Now, mapping the information data into the slope-intercept form

p = y

m = 75

h = x

b = 0

Thus, the equation becomes

p = 75h

Therefore, the function p = 75h represents this situation.

VERIFICATION:

Given the equation

p = 75h

for h = 1

p = 75(1)

p = 75

Thus, Liam is paid SR 75 per hour.

4 0

3 years ago

Can someone solve this for me?

AVprozaik [17]

Answer:

The slope is 7

Step-by-step explanation:

The number by X

5 0

4 years ago