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ikadub [295]
3 years ago
10

7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer

, what was the total price David paid?
8) Suzanne bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discount that Suzanne received when buying the sweater?
9) Leo bought a used car for x dollars. One year later the value of the car was 0.88 x. Which expression is another way to describe the change in the value of the car?
Mathematics
1 answer:
Aneli [31]3 years ago
6 0
Hello there! I can help you!

7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.

8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.

9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
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3 years ago
Simplify the expression (2x² + 9) (x² - 7)​
Natali5045456 [20]

Answer:

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Step-by-step explanation:

Given

(2x² + 9)(x² - 7)

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2x² (x² - 7) + 9(x² - 7) ← distribute both parenthesis

= 2x^{4} - 14x² + 9x² - 63 ← collect like terms

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3 years ago
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A number x multiplied by 4/7 is less than 12/5
morpeh [17]

Step-by-step explanation:

a \: number \: x \: multiplied \: by \:  \frac{4}{7 }  \\ x \times  \frac{4}{7 }  \\ is \: less \: than \frac{12}{5}  \\ x \times  \frac{4}{7 }  <  \frac{12}{5}  \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times  \frac{4}{7}  <  \frac{12}{5}  \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\  \frac{700}{700} x <  \frac{84}{700 }  \\ x <  \frac{84}{700} or \: 0.12

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3 years ago
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nirvana33 [79]

Answer:

y=1/2x+3

Step-by-step explanation:

grabbing two points in this case (0,3) and (2,4)

we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2

to get the y intercept just look at where the line touches the y line in this case at 3

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7 0
2 years ago
What is 380 decreased by 18%
Gwar [14]
380 - 18% of 380

= 380 - (18/100)×380
= 380 - 68.4
= 311.6
7 0
3 years ago
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