Ask question

Ask question

All categories

3 years ago

13

Including a 19% sales tax, a tailored suit costs $357. Find the original cost of the tailored suit.

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

119/100 = 357/X

Step-by-step explanation:

since 357 is the price with the extra 19% tax, you can put 119 and 357 as numerators in a fraction because thats the price % of total cost with the tax, then have the denominators as the normal price without tax. so 119/100 bc 119 is the total cost % with tax, and 100 as the normal cost %. same for the opposite side, 357/X. 357 being the price with the tax and X being the price without the tax. so you just cross multiply to find X. so 100 × 357 (35,700) then divide the answer of that by 119 (35,700/119) to find X (300)

You might be interested in

A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

So

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

So

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

So

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

Is 3/5 equivalent to 6/8

Nastasia [14]

No, bc 3/5 is 3/5. 6/8 reduced is 3/4. So no

5 0

3 years ago

Read 2 more answers

R = 850 cm, s = 250 cm and t=940 cm. Find the measure of ZS tothe nearest 10th of a degree

faust18 [17]

To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:

s² = r² + t² - 2*r*t * cos(S)

Then solve the equation

s² -r² - t² = -2*r*t * cos(S)

arccos ((s² -r² - t² /-2*r*t)) = S

arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S

14.9 = S

round to the nearest 10th of a degree

15º = S

5 0

1 year ago

Solve the system of equations.

Sauron [17]

Answer: A. X= -5, Y= 3, Z= 4

Step-by-step explanation:

6 0

3 years ago

What is x to the power of 2 multiplied by negative 3x

melamori03 [73]

x^2*(-3x)=-3x^3. The power of x becomes 3 because you add the powers of x. (2+1=3)

3 0

3 years ago