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Anastasy [175]
3 years ago
13

Burt's utility function is u(x1; x2) = (x1 + 2)(x2 + 6), where x1 is the number of cookies and x2 is the number of glasses of mi

lk he consumes.
Mathematics
1 answer:
jeka57 [31]3 years ago
5 0

where is the question?

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Pls help with BOTH questions and make sure to show how you set up the problems!!
vivado [14]

5.) Answer: 0.45

Step-by-step explanation:

There is 1.5 quarts of paint, and 30% is yellow.

30% of 1.5 is 0.45.

6.) Answer: 7.198

Step-by-step explanation:

$499.99 is 100%. We need to find $35.99 off of it in percentage.

499.99/35.99 = 100/x

499.99x = 3599, x = 3599/499.99

x ≈ 7.198

7 0
2 years ago
Which shows the best estimate to use<br> to find 43 × 78?
Over [174]

Answer:

The best estimate for 43x78 is 40x80

Step-by-step explanation:

43 rounded to the nearest ten is 40.

78 rounded to the nearest ten is 80.  

The answer to 40x80 is 3200

4 0
3 years ago
Kent and Bradley both work at a car dealership. Kent makes $10/hour + 3% on the amount of sales he completes. Bradley only makes
Masteriza [31]

Answer: There is difference of $660 in their paychecks.

Step-by-step explanation:

Since we have given that

Number of hours in one week they worked = 40

Amount of sales = $78000

Kent makes $10 per hour plus 3% on the amount of sales .

So, the equation for Kent becomes,

10\times 40+\frac{3}{100}\times 78000\\\\=400+3\times 780\\\\=400+2340\\\\=\$2740

Similarly, Bradley only makes $7 per hour but he makes 4% on the amount of his sales .

So, the equation for Bradley becomes,

7\times 40+\frac{4}{100}\times 78000\\\\=280+4\times 780\\\\=280+3120\\\\=\$3400

hence, the difference between of their paychecks is given by

\$3400-\$2740\\\\=\$660

Therefore, there is difference of $660 in their paychecks.

3 0
3 years ago
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to
Ierofanga [76]

Answer:

The correct option is;

3 + (-9) = -6, because -6 is 9 units to the left of 3

Step-by-step explanation:

The given information are;

Kelvin's score after the first round is shown at point K on the number line

The range of numbers on the number line = -10 to +10

The position of point K after the first round = +3

The number of points Kevin lost in the second round = 9 points

Therefore, Kevin's cumulative score = +3 - 9 = -6

Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.

7 0
3 years ago
Cary sets up a checking account with an initial balance of $27,700, and the rent for her
jek_recluse [69]

Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650

5 0
3 years ago
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