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Taya2010 [7]
3 years ago
12

What single decimal multiplier would you use to decrease by 12% followed by a 4% increase

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

The single decimal multiplier is 0.9152

Step-by-step explanation:

Here, we want to write a single decimal number that would work as to decrease an original value by 12% and increase it also by 4%

Let the original value be x

12% = 12/100 = 0.12

So decreasing by 12% would be x-0.12x = 0.88x

Now this 0.88x, we shall increase it by 4%

4% is same as 0.04

Thus by increasing , we have;

0.88x + 0.04(0.88x)

= 0.88x + 0.0352x = 0.9152x

So the single factor we are multiplying by is 0.9152

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Four less than nine times a number is one hundred twenty-two. Find the original number.
Tasya [4]

Answer:

The number is 14

Step-by-step explanation:

Denote the original number by z. The expression "Four less than nine times a number is one hundred twenty-two" can be rewritten in an equation.

Our number is z, then the left hand side of the equation is 9z-4.

The right side of the equation is 122. Then the complete equation is 9z-4=122. Add 4 in both sides to get 9z=122+4=126. Now, divide by 9 in both sides to get z=\frac{126}{9}=14

3 0
3 years ago
Simplify (3+5p)+(1-5p)
romanna [79]
The answer is 4p i believe. (3+5p) is 8 and (1-5p) is -4, so 8p - 4p is 4p
6 0
2 years ago
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Christopher is going to install wallpaper on the four walls of his room. Two of the walls are 14 feet long by 9 feet high. The o
Aliun [14]
Given:
2 walls - 14ft by 9ft
2 walls - 20ft by 9ft

Wall 1 & 2 = 14ft * 9ft = 126 ft² x 2 = 252 ft²
Wall 3 & 4 = 20ft * 9ft = 180 ft² x 2 = 360 ft²

Total area = 252 ft² + 360 ft² = 612 ft²

Cost of 1 single roll: $20
612 ft² ÷ 18 ft² = 34 rolls * $20 = $680

Cost of double roll: $40
612 ft² ÷ 54 ft² = 11.33 rolls ⇒ 12 double rolls
12 * $40 = $480

If Christopher opts for 1 single roll of wallpaper, he'll spend $680.
If he opts for double roll of wallpaper, he'll spend $480.

Double roll of wallpaper is the cheaper option. He'll save $200 if he'll buy the double roll of wallpaper.
4 0
3 years ago
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You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%
bezimeni [28]

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\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}

6 0
3 years ago
Given g(x)=-x-1, find g(-4)
Molodets [167]

Answer:

g(-4)=3

Step-by-step explanation:

g(x)=-x-1

g(-4)=-(-4)-1

g(-4)=4-1

g(-4)=3

6 0
3 years ago
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