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3 years ago

A boat is marked up 20% on the original price the original price was 50$ what is the sale price of the boat before sales tax

Mathematics

1 answer:

AnnyKZ [126]3 years ago

7 0

Answer:

$60

Step-by-step explanation:

We can create a proportion to find the markup from original price to the marked up price. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the prices and percents. It is marked up by 20% so we pay 120% of $50.

$\frac{120}{100} =\frac{x}{50}$

We begin solving by cross multiplying numerator to denominator of each fraction.

$120(50)=100(x)\\6000=100x\\\frac{6000}{100}=\frac{100x}{100} \\60=x$

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4x-9/y+11=0,6/y-3x=8

miskamm [114]

Answer: x=−2,y=3

Step-by-step explanation:

Hope this helps you! Have a good day!

4 0

2 years ago

Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

We want to factor the following expression:

S_A_V [24]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

$9x^6 + 6x^3y + y^2 \\ \\ = {(3 {x}^{3} )}^{2} + 2.(3x^3).y +( y)^2 \\ \\ = \bigg({3 {x}^{3} } + y \bigg)^{2} \\ \\ = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\ \\ \\ \\$

4 0

2 years ago

Find the area of the circle below. Use the formula <br> Use 3.14 for pi.

kirill [66]

Answer:

314

Step-by-step explanation:

Area is pie(r^2

10x10=100

100x3.14 is 314

6 0

3 years ago

Read 2 more answers

Find the volume of the following figure. Round your answer to the nearest whole

PilotLPTM [1.2K]

Answer:

210cm

Step-by-step explanation:

B=l•w

B=5•6

B=30

V=B•h

V=30•7

V=210

8 0

3 years ago