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2 years ago

I need help with number 5, and 6. Please and thank you.

Mathematics

1 answer:

erastovalidia [21]2 years ago

6 0

Answer:

5 - 1 year

6 - 738.92

Step-by-step explanation:

5: 260 = 250(1.04)^t

Divide both sides by 250, and we get 1.04. So t must be 1.

6: x + 45 = x(1.03)²

Solve to find x

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If there are 42 boys and 54 girls in a room, fill out all of the possible

Setler79 [48]

Answer:

21:27 and 14:18

Step-by-step explanation:

We can solve this by using common factors

one of the common factors of 54 and 42 is 3

42/3=14

54/3=18

so one of the ratios is 14:18

another common factor is 2

42/2=21

54/2=27

so another ratio is 21:27

4 0

3 years ago

My Notes A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 f

Sergio [31]

Answer:

6.667 ft/s

Step-by-step explanation:

Given

Height of street light = 15ft

Height of man = 6ft

Speed away from pole = 4ft/s

Let x represents the distance between the man and the pole, and Let y represents the distance between the tip of the man's shadow to the pole.

This forms a similar triangle (see attachment below).

From similar triangles, we have

(y - x)/6 = y/15 ----- Solve equation

15(y - x) = 6 * y

15y - 15x = 6y ---- Collect Like Terms

15y - 6y = 15x

9y = 15x --- divide through by 9

y = 15x/9

y = 5x/3 ---- differentiate with respect to time, t

dy/dt = 5/3 dx/dt

dx/dt represents rate of change of distance per time = 4ft/s

while dy/dt represents rate of movement of his shadow tips

dy/dt = 5/3 * 4

dy/dt = 20/3 = 6.667 ft/s

4 0

3 years ago

Read 2 more answers

If you can see it will plzzz help

Serhud [2]

Answer:

You should probably change the language on your computer if thats what your asking

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week. Each chair produced requir

miskamm [114]

The numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Since a furniture company has 480 board ft of teak wood and can sustain up to 450 hours of labor each week, and each chair produced requires 8 ft of wood and 12 hours of labor, and each table requires 20 ft of wood and 15 hours of labor, to determine, if a chair yields a profit of $ 65 and a table yields a profit of $ 90, what are the numbers of chairs and tables that should be produced each week in order to maximize the company's profit, the following calculation should be done:

16 chairs; 24 tables
Time used = 16 x 12 + 24 x 15 = 192 + 360 = 552
Wood used = 16 x 8 + 24 x 20 = 128 + 480 = 608
15 chairs; 18 tables
Time used = 15 x 12 + 18 x 15 = 180 + 270 = 450
Wood used = 15 x 8 + 18 x 20 = 120 + 360 = 480
12 chairs; 28 tables
Time used = 12 x 12 + 28 x 15 = 144 + 420 = 564
Wood used = 12 x 8 + 28 x 20 = 96 + 540 = 636
18 chairs; 20 tables
Time used = 18 x 12 + 20 x 15 = 216 + 300 = 516
Wood used = 18 x 8 + 20 x 20 = 144 + 400 = 544

Therefore, the only option that meets the requirements of time and wood used is that of 15 chairs and 18 tables, whose economic benefit will be the following:

15 x 65 + 18 x 90 = X
975 + 1,620 = X
2,595 = X

Therefore, the numbers of chairs and tables that should be produced each week in order to maximize the company's profit is 15 chairs and 18 tables.

Learn more in brainly.com/question/14728529

8 0

2 years ago

What is the slope of the line whose equation is 2x−4y=10 ? Enter your answer in the box. NEED HELP ASAP PLEASE WILL GIVE BRAINLI

stich3 [128]

Answer:

The slope of the line is 1/2.

Step-by-step explanation:

2 x − 4 y = 10 (Subtract 2 x from both sides.)

− 4 y = − 2 x + 10 (Divide both sides by -4.)

y = − 2 x − 4 + 10 − 4 (Simplify.)

y = 1/2 x − 5 /2

y=1/2

4 0

3 years ago

Read 2 more answers