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3 years ago

The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the

Mathematics

2 answers:

Tanya [424]3 years ago

8 0

Answer:

$78.19

Step-by-step explanation:

To find the total after the sales tax is charged you have to do

$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986 round*

Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)

Now to finish you add $67.99 +$10.20 = $78.19

lakkis [162]3 years ago

7 0

Answer:

$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)

Total: $78.17

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What scale factor did Dionne use? 1/2 , 2/3 , 3/2 , 2

aleksandr82 [10.1K]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

Calculate the scale factor, using the ratio of corresponding sides, image to original.

Using the vertical line image = 4 and original = 6 , then

scale factor = $\frac{4}{6}$ = $\frac{2}{3}$

4 0

2 years ago

At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
$T(t) = (T_0 - T_A)e^{-kt} +T_A$
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
$42 = (80-20)e^{-3k} +20 \\ \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\ \\ k = -\frac{1}{3} ln (\frac{11}{30})$

Substituting k back into cooling equation gives:
$T(t) = 60(\frac{11}{30})^{t/3} + 20$

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
$-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20$
Solve for t:
$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM

8 0

3 years ago

Eric is a great skateboard fan. He visits a shop named SKATERS to

IceJOKER [234]

Answer:

minimum: 80 zeds

maximum: 137 zeds

Step-by-step explanation:

minimum price is where you choose all the cheapest options

lowest deck price is 40, lowest wheel set price is 14...

40+14+16+10

=40+30+10

=80

maximum price is where you choose all the most expensive options

highest deck is 65, highest price of wheels are 36, hardware 20

65+36+16+20

=65+72

=137

7 0

2 years ago

After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i

Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume ( $V$ ) is calculated by:

$V = \frac{4\pi}{3}\cdot R^{3}$

Where $R$ is the radius of the tumor.

The percentage decrease in the volume of the tumor ( $\%V$ ) is expressed by:

$\%V = \frac{\Delta V}{V_{o}} \times 100\,\%$

Where:

$\Delta V$ - Absolute decrease in the volume of the tumor.

$V_{o}$ - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

$\Delta V = V_{o}-V_{f}$

$\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})$

The percentage decrease is finally simplified:

$\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%$

Given that $R_{o} = R$ and $R_{f} = 0.77\cdot R$ , the percentage decrease in the volume of tumor is:

$\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%$

$\%V = 54.34\,\%$

The volume of the tumor experimented a decrease of 54.34 percent.

5 0

2 years ago

What is 3/4 + 2/3 ???

erica [24]

To add fractions, first convert them to have equal denominators.

3/4= 9/12 (multiply both sides by 3)
2/3= 8/12 (multiply both sides by 4)

From here, add the numerators while keeping the denominator.
9/12+ 8/12= 17/12

Final answer: 17/12 or 1 5/12

3 0

2 years ago

Read 2 more answers