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STALIN [3.7K]
3 years ago
9

Juniper wants to make a new rectangular garden in her backyard that has a length that is 2 more than twice the width. She needs

to install a chicken wire fence to keep the rabbits out and away from her tomatoes. She bought a roll of chicken wire that is 64 ft long. Write an inequality to show how to find the possible dimensions of her new garden. (You do not need to solve it but be sure to define both your variables!)
Please help!!!
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

2x+2y ≤ 64

x=2y+2

Step-by-step explanation:

x = length

y = width

the length is 2 more than twice the width or 2 more than twice y

x = 2+2y

the perimeter of the garden = 2 times the length + 2 times the width

she have 64ft of wire so the perimeter should be equal or less than 64 ft

64 ≥ 2x + 2y

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Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered
Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

                                                               = 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

                                                            = 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

6 0
3 years ago
Each visitor at Eacky World Water Park gets a free towel to use at the park. At the entrance workers arrange tje towels in stack
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3 years ago
Suppose you buy a CD for $300 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be
andrew-mc [135]

Given: Principal Amount (P) = $300

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Formula: Compound Amount (A) = P [ 1 + (r ÷100)]ⁿ

Now,   (A) = P [ 1 + (r ÷100)]ⁿ

or,            = $300 [ 1 + (3 ÷400)]¹²

or,            = $300 × [ 403 ÷ 400]¹²

or,            = $300 × 1.0938069

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Hence, the correct option will be C. $328.14

7 0
3 years ago
Read 2 more answers
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Answer:

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4 0
2 years ago
A second-order linear differential equation for y(t) is said to be homogeneous if... every term involve either y or its derivati
swat32

Answer: Hello!

A second order differential equation has the next shape:

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