All categories

3 years ago

Determine the selling price and amount of increase of a $270 bicycle with a 24% markup.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

7 0

Take the answer you get from that and add it to 270. That is your answer.

You might be interested in

Classify the following triangle as acute, obtuse, or right.

Lynna [10]

That would be an acute triangle because all the angles are less than 90 degrees I hoped this helped

8 0

3 years ago

Read 2 more answers

Show that √(1-cos A/1+cos A) =cosec A - cot A

Gennadij [26K]

Hi there!

$\sqrt{\frac{1-cosA}{1+cosA}} =$

We can begin by multiplying by its conjugate:

$\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =$

Simplify using the identity:

$1 - cos^2A = sin^2A$

$\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =$

Take the square root of the expression:

${\frac{sinA}{1+cosA} =$

Multiply again by the conjugate to get a SINGLE term in the denominator:

${\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\$

Simplify:

${\frac{sinA(1-cosA)}{1-cos^2A} =$

Use the above trig identity one more:

${\frac{sinA(1-cosA)}{sin^2A} =$

Cancel out sinA:

${\frac{(1-cosA)}{sinA} =$

Split the fraction into two:

${\frac{1}{sinA} - \frac{cosA}{sinA} =$

Recall:

$1/sinA = cscA\\\\cosA/sinA = cotA$

Simplify:

$\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}$

5 0

2 years ago

Keisha is solving the equation 7^x=9.

olganol [36]

$\bf \textit{Logarithm of exponentials}\\\\
log_a\left( x^ b \right)\implies b\cdot log_a(x)\\\\
-------------------------------\\\\
7^x=9\implies \boxed{log(7^x)=log(9)}\implies x\cdot log(7)=log(9)
\\\\\\
x=\cfrac{log(9)}{log(7)}$

3 0

3 years ago

Write the equation in standard form.<br> y - 10=-2(x-8)

Bess [88]

Answer:

2x + y = 26

Step-by-step explanation:

The standard form of a linear equation is A x + By = C.

Simplify -2(x - 8)

Multiply -2 by -8

y - 10 = -2x + 16

2x + y - 10 = 16

Add 10 to both sides.

Add 16 and 10

Answer= 2x + y = 26

6 0

3 years ago

Simplfy <br> 2x+4/-3 = 12

nasty-shy [4]

So you have the equation (2x+4)/-3=12
Multiply by -3 on each side.
2x+4=-36
2x=-20
x=-10
Hope this helps.

4 0

4 years ago