Let u = <5, 6>, v = <-2, -6>. Find -2u + 5v.

Kathy and Mark Smith believe investing in their retirement is critical. Kathy began investing 20% of each paycheck in a retireme

Zina [12379]

Answer:

Kathy: $1,224,000

Mark: $306,000

Please refer to the attachment.

5 0

1 month ago

Hank and Debra each own two milking cows. One day, they milked their cows and compared the amount of milk the cows produced in t

AnnZ [12381]

Answer:

The result to your inquiry is 2 7/24.

Step-by-step explanation:

Data:

Hank's cows yield = 4 3/4 and 4 1/8

Debra's cows yield = 5 1/2 and 5 2/3

Process:

1.- Convert the mixed numbers into improper fractions:

For Hank: (16 + 3)/4 = 19/4 and (32 + 1)/8 = 33/8.

For Debra: (10 + 1)/2 = 11/2 and (15 + 2)/3 = 17/3.

2.- Add Hank's and Debra's milk quantities:

Hank: 19/4 + 33/8 = 38/8 + 33/8 = 71/8.

Debra: 11/2 + 17/3 = 33/6 + 34/6 = 67/6.

3.- Subtract Hank's total from Debra's total:

67/6 - 71/8 = (268 - 213)/24.

Thus, it simplifies to 55/24.

- Convert back to a mixed number:

2

24 55

7

Where 55/24 equals 2 7/24.

4.- Conclusion:

Debra produced 2 7/24 more milk than Hank.

4 0

1 month ago

The length and width of a book cover are 22.2cm and 12 cm respectively

zzz [12365]

The dimensions of the book cover are 28.3 centimeters in length and 21 centimeters in width. Calculate the range of values for both the actual length and width of the book cover. Minimum length = (28.3 - 0.05) cm and maximum length = (28.3 + 0.05) cm, thus 28.25 cm ≤ length < 28.35 cm.

Hope this information is helpful!

8 0

1 month ago

Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t

babunello [11817]

Answer:

To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation

1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation

After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, $x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}$ for equations of the type 0 = a·x² - b·x + c.