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nasty-shy [4]
3 years ago
12

Please dont steal points only real answers

Mathematics
1 answer:
morpeh [17]3 years ago
8 0
1. 4 1/5
2. 11/24
3. 12 1/4
4. 2
5. 3 5/12

I did the math but I’m sorry if it’s not all correct
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Please Help!!! Due today.
Marianna [84]

Answer:

well can I see the choices?

8 0
2 years ago
The administrator of a $200,000 trust fund must adhere to following guidelines.
skelet666 [1.2K]

Step-by-step explanation:

let us give all the quantities in the problem variable names.

x= amount in utility stock  

y = amount in electronics stock  

c = amount in bond

“The total amount of $200,000 need not be fully invested at any one time.”

becomes

x + y + c ≤ 200, 000,

Also

“The amount invested in the stocks cannot be more than half the total amount invested”

a + b ≤1/2 (total amount invested),

=1/2(x + y + c).

(x+y-c)/2≤0

“The amount invested in the utility stock cannot exceed $40,000”

a ≤ 40, 000

“The amount invested in the bond must be at least $70,000”

 c ≥ 70, 000

Putting this all together, our linear optimization problem is:

Maximize z = 1.09x + 1.04y + 1.05c

subject to

x+ y+ c ≤ 200, 000

x/2 +y/2 -c/2 ≤ 0

              ≤ 40, 000,

              c ≥ 70, 000

a ≥ 0, b ≥ 0, c ≥ 0.

3 0
3 years ago
Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
3 years ago
Find Four constructive odd integers whose sum is 224 what is the largest number
rusak2 [61]

Answer:

53, 55, 57, and 59

Step-by-step explanation:

Let the numbers be

x, x +2, x +4, and x+6. Then

x + x+2 + x +4 + x + 6 = 224     Combine like terms

                      4x + 12 = 224     Subtract 12 from each side

                             4x = 212      Divide each side by 4

                               x = 53

The four consecutive integers are 53, 55, 57, and 59.

<em>Check: </em>

53 + 55 + 57 + 59 =224

5 0
3 years ago
(x-4)^6 expand each binomial
ycow [4]
Use the binomial expansion theorem to find and simplify each term.
x^6 + 24x^5 + 240x^4 - 1280x^3 + 3840x^2 - 6144x + 4096

Hope this helps! & Happy New Years!
5 0
3 years ago
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