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Sergeeva-Olga [200]
3 years ago
6

A family buys a studio apartment for $240,000. They pay a down payment of $60,000.

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0

Answer:

Part A: 25%
Part B: 40%

Step-by-step explanation:

Given the following questions:

$240000 for a studio apartment
$60000 as a down payment.

In order to find the answer, we use the formula to calculate the percentage for the total cost of the studio apartment and the down payment.


<u>Part A:</u>
\frac{c\times n}{100}
\frac{25\times240000}{100} =25\times240000=60000
=60000

<u>Part B:</u>
\frac{c\times n}{100}
\frac{40\times240000}{100} =40\times240000=9600000\div100=96000
=96000

The percent of a down payment of $60,000 for a $240,000 studio apartment is "25%." While the percent of a $96,000 dollar down payment for a $240,000 studio apartment is "40%."

Hope this helps.

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Factor the polynomial completely
aliina [53]

We have 2x^2-8.




First let us factor the 2 to obtain,


2(x^2-4)


We can now see clearly that the expression inside the parentheses is a difference of two squares.



We now write the 4 as 2². So that we obtain the expression,



2(x^2-2^2)


Recall that


a^2-b^2=(a+b)(a-b)



Hence our expression becomes,




2(x+2)(x-2)



Therefore, when factored completely,




2x^2-8=2(x+2)(x-2)






5 0
3 years ago
Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles
gtnhenbr [62]

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

============================================================

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

  • (1,5)
  • (2,4)
  • (3,3)
  • (4,2)
  • (5,1)

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

  • (1,1)
  • (2,2)
  • (3,3)
  • (4,4)
  • (5,5)
  • (6,6)

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

7 0
3 years ago
Xavier rides his bike 5 1/4 miles or 82% of his goal for the day. What is his goal for the day?
Leno4ka [110]
Use ratio and proportion

5.25/x= 82/100
cross multiply
82 x= 525
     x= 6.4 miles

Hope this helps
8 0
3 years ago
Given the point and slope write the equation of the line 9,-4; slope -2/3
ValentinkaMS [17]
Y=-2/3x-4
Linear equation formula: y=mx+b
3 0
3 years ago
The diagonals of a rhombus intersect at the point (0,4). If one endpoint of the longer diagonal is located at point (4,10), wher
Wewaii [24]

Answer:

The other endpoint is located at (-4,-2)

Step-by-step explanation:

we know that

The diagonals of a rhombus bisect each other

That means-----> The diagonals of a rhombus intersect at the midpoint of each diagonal

so

The point (0,4) is the midpoint of the two diagonals

The formula to calculate the midpoint between two points is equal to

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

we have

M=(0,4)

(x_1,y_1)=(4,10)

substitute

(0,4)=(\frac{4+x_2}{2},\frac{10+y_2}{2})

<em>Find the x-coordinate x_2 of the other endpoint</em>

0=\frac{4+x_2}{2}

x_2=-4

<em>Find the y-coordinate y_2 of the other endpoint</em>

4=\frac{10+y_2}{2}

8=10+y_2

y_2=-2

therefore

The other endpoint is located at (-4,-2)

4 0
3 years ago
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