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3 years ago

Round 1.983 to the nearest hundredth

Mathematics

1 answer:

svet-max [94.6K]3 years ago

4 0

Answer:

1.98

Step-by-step explanation:

Find the number in the hundredth place 8 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

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Temka [501]

Answer:

The top option is false.

Step-by-step explanation:

Both segments have a rate of change [slope] of ⅔. It just that their ratios have unique qualities:

$\frac{2}{3} = \frac{4}{6}$

Greatest Common Factor: 2

___ ___

BC is at a 4⁄6 slope, and AB is at a ⅔ slope. Although their quantities are unique, they have the exact same value.

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3 years ago

Calculate the income needed based on the following budgeted expenses.

Lynna [10]

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3 years ago

PLEASE HELP

katovenus [111]

Answer:

$593.26

Step-by-step explanation:

We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.

So, the resale value for 1st year = $\frac{75}{100} *2500 =$ $1875

for 2nd year = $\frac{75}{100} *1875 =$ $1406.25

for 3rd year = $\frac{75}{100} *1406.25 =$ $1054.7

for 4th year = $\frac{75}{100} *1054.7 =$ $791.01

for 5th year = $\frac{75}{100} *791.01 =$ $593.25

Or we can use the following formula to find its resale value after 5 years:

$2500*(0.75)^5 =$ $593.26

4 0

3 years ago

What is equivalent to 8c+6-3c-2

IgorC [24]

8c + 6-3c -2

8c -3c + 6-2 = 5c + 4

Brainliest please!

8 0

3 years ago

Read 2 more answers

A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours

qaws [65]

Answer:

The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.

Below are all the steps explained in detail.

The graph is attached.

Explanation:

1. Name the variables:

x: number of smaller lifts
y: number of larger lifts

2. Build a table to determine the number of hours each lift requires from each department:

Number of hours

small lift large lift total per department

Welding department 1x 3y x + 3y

Packaging department 2x 1y 2x + y

3. Constraints

150 hours available in welding: x + 3y ≤ 150
120 hours available in packaging: 2x + y ≤ 120
The variables cannot be negative: x ≥ 0, and y ≥ 0

Then you must:

draw the lines and regions defined by each constraint
determine the region of solution that satisfies all the constraints
determine the vertices of the solution region
test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

4. Graph

See the graph attached.

Here is how you draw it.

x + 3y ≤ 150
draw the line x + 3y = 150 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

2x + y ≤ 120
draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

the solution region is the intersection of the regions described above.

take the points that are vertices inside the solutoin region.

5. Test the profit function for each vertex

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

(0,0)
(0,50)
(42,36)
(60,0)

The profits with the vertices are:

P(0,0) = 0
P(0,50) = 25(0) + 90(50) = 4,500
P(42,36) = 25(42) + 90(36) = 4,290
P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

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3 years ago