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ioda
3 years ago
12

The difference of 3x and 23 is 40

Mathematics
1 answer:
Tamiku [17]3 years ago
4 0

Answer:

x = 21

Step-by-step explanation:

3x - 23 = 40

Collect like terms

3x = 40 + 23

3x = 63

Divide through by 3

3x/3 = 63/3

x = 21

Check

3x - 23 = 40

since x = 21

3(21) - 23 = 40

63 - 23 = 40

40 = 40

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3 years ago
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Which of the following is the image of the line y = x - 1 under the translation (x,y) -&gt; (-x, y)?
Savatey [412]

The answer choice which represents the image of the line given as in the task content; y = x - 1 under the translation; (x,y) -> (-x, y) is; y = -x -1.

<h3>What is the image of the line given; y =x-1?</h3>

It follows that the image of the line; y = x -1 according to the task content is to be determined under the transformation; (x,y) -> (-x, y).

Since, the transformation in discuss involves; a chance in the polarity of x values, it follows that the transformation indicated is a reflection over the y-axis.

Hence, the resulting image of the line given; y = x-1 is; y = -x -1.

Read more on transformations;

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2 years ago
You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand
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For buying one of two brands of barbecue grills, Brand G will end up costing $159.48 less than Brand F.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Brand F costs $650 and will last for about fifteen years. For brand F grill the interest rate is 13. 01%, compounded monthly and five years of monthly payments. Thus, the total amount for brand F is,

A=650\times\left(1+\dfrac{13.01}{12\times100}\right)^{12\times5}\\A=1241.37

Brand G costs $200 and will last for about five years. For three brand G grill, the cost is,

P=3\times200\\P=600

For brand G grill, the interest rate is 13. 01%, compounded monthly and three years of monthly payments. Thus, the total amount for brand G is,

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The monthly payment formula can be given as,

M=P\times\dfrac{R/100}{1-(1+R)^{-n}}

By this above formula, we get the total payment of brand F is 887.40 and brand G is 727.92. The difference of two is,

d=887.40-727.92\\ d=159.48

Thus, for buying one of two brands of barbecue grills, Brand G will end up costing $159.48 less than Brand F.

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