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levacccp [35]
3 years ago
8

A new hard drive costs $225, plus $40 per hour for

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

4 hours

Step-by-step explanation:

y= 40x +225

$385 money to spend - $225 that go for hard drive = $160

40* x can be maximum 160  so x= 160 /40= 4

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What is 20/10 as a mixed number?
nadya68 [22]
Hello there!
the answer is 2

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8 0
4 years ago
The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the tri
son4ous [18]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Which statement describes how the graph of the given polynomial would change if the term -3x6 is adde
Lesechka [4]

Given:

Polynomial is 2x^6+9x^5-7x^3-1.

Term -3x^6 is added in the given polynomial.

To find:

The end behavior of new polynomial.

Solution:

Let, P(x)=2x^6+9x^5-7x^3-1.

New polynomial is

f(x)=2x^6+9x^5-7x^3-1+(-3x^6)

f(x)=(2x^6-3x^6)+9x^5-7x^3-1

f(x)=-x^6+9x^5-7x^3-1

Highest power of x is 6 which is even and leading coefficient is negative. So,

f(x)\to -\infty\text{ as }x\to -\infty

f(x)\to -\infty\text{ as }x\to \infty

Both ends of the graph will approach negative infinity.

Therefore, the correct option is A.

5 0
3 years ago
*Use the Area formula
Artist 52 [7]

Answer:

5ft

Step-by-step explanation:

Given parameters:

Length of the pool  = 25ft

Width of the pool  = 15ft

Volume of water the pool can hold = 1875ft³ of water

Unknown:

Depth of the pool = ?

Solution:

The pool is in the shape of a cuboid.

The volume of a cuboid is given as;

        Volume of a cuboid  = L x width x depth

Insert the parameters and solve for the depth;

        1875  = 25 x 15 x depth

         depth = \frac{1875}{25 x 15}   = 5ft

4 0
3 years ago
The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yi
gogolik [260]

Answer:

<em>They should invest </em><em>$40,000 in stable bonds</em><em> and </em><em>$60,000 in volatile bonds</em><em>. Their maximum income is </em><em>$129,900</em>

Step-by-step explanation:

Let us assume that, they invested x in stable bonds and y in volatile bonds.

The Fiedler family has up to $130,000 to invest.

x+y\le130000

They decide that they want to have at least $40,000 invested in stable bonds.

x\ge40000

They decide that they want no more than $60,000 should be invested in more volatile bonds.

y\le60000

The amount in the stable bond should not exceed the amount in the more volatile bond, so

x\le y

As we have to find maximum income from stable bonds yielding 5.5% and volatile bonds yielding 11%, so we have to maximize 1.055x+1.11y

Here,

Max 1.055x+1.11y

x+y\le130000

x\le y

x\ge40000

y\le60000

Using LPP, plotting the inequalities on graph, we get the feasible region as shown in the attachment.

The solutions to the system are,

(40000,60000),(40000,40000),(60000,60000)

Now putting all the solutions in the objective function to find the maximize the function.

f(40000,60000)=1.055(40000)+1.11(60000)=\$108800

f(40000,40000)=1.055(40000)+1.11(40000)=\$86600

f(40000,60000)=1.055(40000)+1.11(60000)=\$129900


8 0
3 years ago
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