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oksano4ka [1.4K]
2 years ago
12

Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h

ave they saved? a. $384.30 b. $3,843.00 c. $38,043.00 d. $38,430.00 please select the best answer from the choices provided a b c d
Mathematics
1 answer:
Vesnalui [34]2 years ago
3 0

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y   (where P% is P/100)

Here in the question it is given that,

  • Mr. and Mrs. Lorenzo want to buy a home valued at $213,500
  • They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

  • Given that the total amount = $213,500
  • Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500  

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

#SPJ4

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34/18 is greater than 1 5/6.

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Which rule describes the translation below ? In the picture
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The translation rule which describes the given translation is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}.

Further explanation:

Translation is defined as the shifting of the curve in which each point on the curve is shifted in such a way that the shape and size of the curve remains unchanged but the position of each point is changed by a fixed distance.

In the given figure there are two right angle triangle as S'T'U' and STU.

The coordinates of the right angle triangle S'T'U' are (-4,2),(-4,-2) and (-1,-2) and the coordinates of the right angle triangle STU are (1,5),(1,1) and (4,1).  

Consider that the triangle STU is obtained after the translation of each point on the triangle S'T'U'.  

The coordinate of the point S' in triangle S'T'U' is (-4,2).  

Step 1:  

Use the translation (x,y)\rightarrow(x-5,y-3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-5,2-3)=(-9,-1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-5,y-3) the coordinate of the point S is (-9,-1), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-5,y-3) is incorrect.  

Step 2:  

Use the translation (x,y)\rightarrow(x-3,y-5) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4-3,2-5)=(-7,-3)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x-3,y-5) the coordinate of the point S is (-7,-3), but in the given figure the coordinate of the point S is (1,5).  

So, the translation (x,y)\rightarrow(x-3,y-5) is incorrect.  

Step 3:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point S'.  

\fbox{\begin\\\(-4,2)\rightarrow(-4+5,2+3)=(1,5)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point S is (1,5) which is correct as the coordinate for the point S given in the figure is (1,5).  

Step 4:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point T'.  

\fbox{\begin\\\(-4,-2)\rightarrow(-4+5,-2+3)=(1,1)\\\end{minispace}}  

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (1,1) which is correct as the coordinate for the point T given in the figure is (1,1).  

Step 5:  

Use the translation (x,y)\rightarrow(x+5,y+3) for the point U’.  

\fbox{\begin\\\ (-1,-2)\rightarrow(-1+5,-2+3)=(4,1)\\\end{minispace}}

As per the translation (x,y)\rightarrow(x+5,y+3) the coordinate of the point T is (4,1) which is correct as the coordinate for the point U given in the figure is (4,1).  

As per the above calculation it is concluded that the translation (x,y)\rightarrow(x+5,y+3) is correct for the shifting of each point on the triangle S'T'U' to each point on the triangle STU.

The translation of each point on the triangle S'T'U' is shown in the image attached below.

Therefore, the correct translation rule for the shifting of the triangle S'T'U' to the triangle STU is \fbox{\begin\\\math{(x,y)}\rightarrow(x+5,y-3)\\\end{minispace}}  

Learn more:  

  1. A problem to determine the range of a function brainly.com/question/3852778
  2. A problem to determine the vertex of a curve brainly.com/question/1286775
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Answer details:

Grade: Middle school

Subject: Mathematics  

Chapter: Coordinate geometry

Keywords: Translation, shifting, graph, geometry, coordinate geometry, coordinates, shifting of graph, triangle, right angle triangle, movement of curve, shifting of curve, translation of curve.

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