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Fittoniya [83]
4 years ago
13

Which algebraic representation shows a reduction?

Mathematics
1 answer:
Grace [21]4 years ago
5 0

Answer:

D. (x, y) →(\frac{1}{2}x,\frac{1}{2}y)

Step-by-step explanation:

A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.

When the dilation produces a smaller image is called a reduction.

Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.

Out of the options, the only one that has a scale factor less than one is:

(x, y) →(\frac{1}{2}x,\frac{1}{2}y)

Since the scale factor is 1/2 which is less than 1.

All other options are not reductions.

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If you invest $4000 at 9% interest compounded annually, in how many years will you have $20,000. Give your answer the nearest te
Masteriza [31]

Answer:

18.7 years

Step-by-step explanation:

This is a compound interest problem and the following variables have been given;

Principal = 4000; this is the amount o be invested

APR = 9%; this is the compound interest to be earned

Accumulated amount = 20,000

We are required to determine the duration in years. We apply the compound interest formula;

A=P(1+r)^{n}

20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}

The next step is to introduce natural logarithms in order to determine n;

ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675

The number of years required is thus 18.7 years

6 0
4 years ago
(07.01 LC) Olivia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below: (1, 1), (
belka [17]
Olivia's sample space consists of 36 pairs. Three (3) of them give a total of 10: (4, 6), (5, 5), (6, 4).

The probability of getting a total of 10 is 3/36 = 1/12.
5 0
3 years ago
Easy points :) <br> 2*2*2+2-1
kipiarov [429]

Answer:

9

Step-by-step explanation:

2*2=4*2=8+2=10-1=9

7 0
3 years ago
I need heelp<br> (-6)-(+8)=
zhuklara [117]

Answer:

I believe its 2 so sorry if im wrong

Step-by-step explanation:

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4 years ago
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Answer:

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Step-by-step explanation:

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