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3 years ago

If a sweatshirt cost $45, and sales tax is 7%, how much tax did you pay?

Mathematics

2 answers:

sergeinik [125]3 years ago

8 0

Answer:

Step 1: take the total price and divide it by one plus the tax rate.

Step 2: multiply the result from step one by the tax rate to get the dollars of tax.

Step 3: subtract the dollars of tax from step 2 from the total price.

Pre-Tax Price = TP – [(TP / (1 + r) x r]

TP = Total Price

vovangra [49]3 years ago

5 0

$48.15

Good Luck!!! :)

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The equation which correctly represents this situation is

uranmaximum [27]

Answer:

C) x2 + x = 306

Step-by-step explanation:

x2 + x = 306

x2 + x - 306 = 0

x2 + 18x - 17x + 18 * (-17) = 0

x ( x + 18) - 17 (x +18) =0

(x + 18) (x - 17 ) = 0

x = -18 or 17

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4 years ago

Please help! Will give brainliest :)

Vedmedyk [2.9K]

Answer:

15 boys in 3 groups

15 girls in 4 groups

Step-by-step explanation:

60 ÷ 4 = 15

45 ÷ 3 = 15

Have an awesome day! :D

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3 years ago

Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl

GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane $n=(-2,-2,1)$ , then r will have the next parametric equations:

$x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda$

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

$-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3$

Substitute the value of $\lambda$ in the parametric equations:

$x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\$

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

$d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u$

7 0

3 years ago

If is parallel to , which statement must be true?

Igoryamba

I’m pretty sure it’s d

6 0

3 years ago

Write the ratio as a percent.

natali 33 [55]

Answer:

62%

Step-by-step explanation:

This one's easy to solve as a percentage because the total number was 100 to begin with. Simply divide the number of employed students by the total amount of students, 62/100, which gets 0.62, or 62%.

5 0

3 years ago