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Nina [5.8K]
3 years ago
7

Investors buy a studio apartment for $120,000. Of this​ amount, they have a down payment of $12,000 . Their down payment is what

percent of the purchase​ price? What percent of the purchase price would a ​$42,000 down payment​ be?
Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

The percentage for both the cases would be 100% and 35% respectively

Step-by-step explanation:

The computation of the percentage of down payment to the purchase price would be:

In the first case, the percentage would be

= Down payment ÷ Total amount

= $12,000 ÷ $120,000

= 100%

For the second case, the percentage would be

=  Down payment ÷ Total amount

= $42,000 ÷ $120,000

= 35%

The percentage for both the cases would be 100% and 35% respectively

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A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone
monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the  z-table   -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

3 0
2 years ago
At the supermarket , 6 mangoes cost 6.12
Grace [21]

Answer:

good to know. but what's the question?

4 0
3 years ago
Read 2 more answers
Katie solved the equation by completing the square. X2+12x−7=0 which equation shows one of the steps katie could have taken to c
sdas [7]

solution:

x^{2}+12x-7=0\\add 7 to both side of the equation\\x^{2}-12x=7\\to creat a trinomial square on the left side of the equation.\\find a value that is equal to the square of b and the cofficent of x.\\(\frac{b}{2})^2=(-6)^2\\add the term to each side of the equation\\x^2-12x+(-6)^2=7+(-6)\\x^2-12x+36=43\\(x-6)^2=43\\solve the equation for x.\\take the square root of each side of the equation to the set up the solution x,\\(x-6)^2.\frac{1}{2}=\pm \sqrt{43}\\x-6=\pm \sqrt{43}\\x=6\pm \sqrt{43}

4 0
3 years ago
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There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of
Anestetic [448]
<h2><u>RATIO</u></h2>

<h3><u>\underline \mathcal{PROBLEM:}</u></h3>

» There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to total fruits? Be sure to write your answer in lowest terms.

<h3>\underline{ \mathcal{ANSWER:}}</h3>
  • \blue{ \bold{4:7}}

— — — — — — — — — —

<h3>\underline{ \mathcal{EXPLANATION:}}</h3>

Based on the problem, there are 8 watermelons and 6 apples in the shopping cart. So,

  • \sf \: Apple =  \green6

  • \sf \: Watermelon = \green 8

  • \sf \: Total \:  Fruits= \green {14 }

Therefore, the ratio of apples to total fruits is 8:14 and its lowest term is 4:7.

_______________∞_______________

3 0
2 years ago
Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her fi
anastassius [24]

Answer:

<em>Grades to be scored in 3rd exam = 88</em>

Step-by-step explanation:

Given that average of 3 numbers is 85.

First two numbers are 81 and 86.

To find:

3rd number so that average is 85

Solution:

Let the third number = x

Formula for average is:

Average = \dfrac{Sum\ of\ numbers}{Total\ count\ of\ numbers}

Here, sum of numbers = 81+86+x =167+x

Total count of numbers = 3

85 = \dfrac{167+x}{3}\\\Rightarrow x=255-167\\\Rightarrow \bold{x=88}

<em>Grades to be scored in 3rd exam = 88</em>

8 0
3 years ago
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