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krok68 [10]
3 years ago
12

Investors buy a studio apartment for $180,000. Of this​ amount, they have a down payment of $18,000. Their down payment is what

percent of the purchase​ price? What percent of the purchase price would a ​$9,000 down payment​ be? Their down payment is enter your response here​% of the purchase price. ​(Type a whole​ number.) A ​$9,000 down payment would be enter your response here​% of the purchase price. ​(Type a whole​ number.)
Mathematics
1 answer:
vovangra [49]3 years ago
8 0

Answer:

$180,000 is 10% $9,000 is 5%

Step-by-step explanation:

To solve for this, you would set up a ratio and cross-multiply.

$18,000/$180,000 = x%/100%

(18,000)(100) = 180,000x

1,800,000 = 180,000x

10 = x

9,000/180,000 = x/100

900,000 = 180,000x

5 = x

OR

$18,000 ÷ 2 = $9,000

10% ÷ 2 = 5%

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A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
tankabanditka [31]
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04


8 0
4 years ago
What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?​
Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

 Given the equation:

\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}

- Using the Difference of squares formula (a^2-b^2=(a+b)(a-b)) we can simplify the denominator of the right side of the equation:

\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}

- Multiply both sides of the equation by (m+3)(3-m) and simplify:

\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}

- Multiply both sides by m-3:

(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)

- Apply Distributive property and simplify:

(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0

- Divide both sides of the equation by -6:

\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0

- Factor the equation and solve for "m":

(m-3)^2=0\\\\m=3

In order to verify it, you must substitute m=3 into the equation and solve it:

\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}

<em>NO SOLUTION</em>

7 0
3 years ago
Write these numbers in order from least to greatest. ( 3-3/10), (3.1) , (3-1/4)
Orlov [11]

Our three numbers are...

3 3/10 = 3.3

3.1

3 1/4 = 3.25

So, if we order those from least to greatest, we have...

3.1, 3.25, 3.3

which, in the forms given, is...

3.1, 3-1/4, 3-3/10

7 0
3 years ago
Which equation can be solved to find one of the missing side lengths in the triangle?
tester [92]

Answer:

cos(60) = 12

Step-by-step explanation:

I don't understand the question, but that is the only logical answer choice.

6 0
3 years ago
Answer ASAP, please..
Phantasy [73]

Answer:

g(x) = (x-3)^{2} -4

Step-by-step explanation:

The graph is shifted 3 units to the right which is represented by -3 (in the parentheses) and is shifted four units down.

6 0
3 years ago
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