3 – (–3) 7 – 4 = <br> a. 14 <br> b. 9 <br> c. 12 <br> d. 2

A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5

Kazeer [188]

Answer:

The number of tablets 200

the number of laptops 40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y ................(2)

and,

y = 2z

or

z = $\frac{\textup{y}}{\textup{2}}$ ............(3)

substituting y from 2 and 3 in equation 1, we get

(500 × 5y) + (2000 × y) + (5000 × $\frac{\textup{y}}{\textup{2}}$ ) = 280,000

or

2500y + 2000y + 2500y = 280,000

or

7000y = 280,000

or

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = $\frac{\textup{40}}{\textup{2}}$

or

z = 20

hence,

the number of tablets 200

the number of laptops 40

and, the number of servers 20

7 0

3 years ago

Help its 11:28 due at 11:59 :((

Alja [10]

Answer:

y = 0.87x + 0.02

Step-by-step explanation:

Euros as a function of dollars means that euros is y and dollars are x.

We are given 2 points: (4, 3.5) and (10, 8.72)

slope = (8.72 - 3.5)/(10 - 4)

slope = 5.22/6 = 0.87

y = 0.87x + b

3.5 = 0.87(4) + b

b = 0.02

y = 0.87x + 0.02

3 0

2 years ago

You received partial credit in th

Blababa [14]

Answer:

Expected value would be $ 0.896

Step-by-step explanation:

Given,

The price of the lottery ticket = $44800000,

Also, the probability of winning the grand prize = .000000020,

Thus, the expected value of the lottery ticket = value of the lottery ticket × probability of getting the lottery ticket

= 44800000 × .000000020

= $0.896

Note : value of lottery ticket = prize amount - cost of each ticket,

Here the cost price of a ticket is not given,

That's why we did not consider it.

5 0

2 years ago

Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.

Triss [41]

Answer:

Initial temperature;

432.76

Common ratio;

-0.067

Equation;

$y=432.76e^{-0.067x}$

Step-by-step explanation:

In this scenario, the time in minutes represents the independent variable x while the temperature of the pizza represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial temperature we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.

6 0

2 years ago

if grace and claire parents each invested 7,600 into college saving account when the girls were born how much money will each gi

Mrrafil [7]

Answer:

7,600

Step-by-step explanation:

both parents invest 7,600.

7,600x2= 15,200

there are 2 girls so divide 15,200 by 2 and u get 7,600

3 0

2 years ago

3 – (–3) 7 – 4 = a. 14 b. 9 c. 12 d. 2