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3 years ago

89.75 scooter:7 1/4% tax

2 answers:

eduard3 years ago

8 0

The question is find the total cost when the price is $89.75 and the tax is 7 1/4%

Total cost = price + tax

Tax = 7 1/4 % of price

Tax rate = [7 + 1/4] = 7.25 %

Tax = 7.25 % * price = 7.25 % * $89.75 = $[7.25/100] * 89.75 = $6.51

Total cost = $89.75 + $ 6.51 = $96.26

Effectus [21]3 years ago

5 0

For this case, the first thing we must do is find the amount of taxes.

For this, we make the following rule of three:

89.75 ----------------------> 100%

x ----------------------------> 7 1/4%

From here, we clear the value of x.

We have then:

$x = (\frac{7\frac{1}{4}}{100}) * (89.75) x = 6.51$

Then, the total cost is given by:

$Total Cost = price + taxes$

Substituting values:

$Total Cost = 89.75 + 6.51 Total Cost = 96.26$

Answer:

The total cost is equal to 96.26 $.

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slava [35]

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The coordinates for point E are (0, 1.5)

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2 years ago

2/0 = 32/48 = 30/0. What number shpuld come in place of the zeros?

Anton [14]

Answer:

$\sf \dfrac{2}{3} = \dfrac{32}{48} = \dfrac{30}{45}$

$\sf \rightarrow \dfrac{2}{x} = \dfrac{32}{48}$

$\sf \rightarrow 2(48)= {32x}$

$\sf \rightarrow 32x= 96$

$\sf \rightarrow x = 3$

<u /> $\rightarrow \sf \dfrac{32}{48} = \dfrac{30}{y}$

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8 0

2 years ago

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.

Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

$\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]$

The left and right endpoints of the $i$ -th subinterval, respectively, are

$\ell_i=\dfrac{i-1}4\left(\dfrac\pi2-0\right)=\dfrac{(i-1)\pi}8$

$r_i=\dfrac i4\left(\dfrac\pi2-0\right)=\dfrac{i\pi}8$

for $1\le i\le4$ , and the respective midpoints are

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{(2i-1)\pi}8$

Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

$T_i=\dfrac{f(\ell_i)+f(r_i)}2(\ell_i-r_i)$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}$

Midpoint rule

We approximate the area for each subinterval by

$M_i=f(m_i)(\ell_i-r_i)$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}$

Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial $p_i(x)$ , where

$p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It so happens that the integral of $p_i(x)$ reduces nicely to the form you're probably more familiar with,

$S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))$

Then the integral is approximately

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4S_i\approx\boxed{3.000117}$

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

3 0

3 years ago

Multiply. −4 1/7 x 3 1/2 Enter your answer, in simplest form, in the box.

Alisiya [41]

ANSWER:

-14 1/2

STEP-BY-STEP:

-4 1/7 x 3 1/2 = -14.50

-14.50 turned into the simplest fraction it can be, without changing the whole number, is -14 1/2

8 0

2 years ago

Rick buys and sells antiques via the Internet. So far, he has profited $2,502. Based on his profits to date, he developed the fo

kow [346]

Answer:

d. An additional month of buying and selling is associated with an additional $417 in profits.

Step-by-step explanation:

We have general form of intercept form of equation:

y = m*x + c ----- (A)

Given equation is : y = 2502 + 417*x

Rewrite equation: y = 417*x + 2502 ------(B)

comparing equation (B) with equation (A), we get

m = 417 (additional benefits per month) because multiplied factor x is the month.

6 0

2 years ago