Write the set that represents the set of people surveyed who subscribe to at least one of the two news sources given.

Answer:

It will take 26.4 years for investment to reach $2000

Step-by-step explanation:

2000=100(1+.12)^x

20=1.12^x

㏒_{20} 1.12=x

log 1.12/ log 20=x

x= 26.434

The number of years that should be taken for reaching $2,000 is 26.40 years.

Given that,

Based on the above information, the calculation is as follows:

[tex]2000=100(1+.12)^x\\\\20 = 1.12^x[/tex]

Now apply log to both sides

[tex]\frac{log1.12}{log20} = x[/tex]

x = 26.4 years

Therefore we can conclude that the number of years that should be taken for reaching $2,000 is 26.40 years.

Learn more: brainly.com/question/13324776

Answer:

ok soooo whats the question like bruhhhhhh i here to anwser now tell me the question

Step-by-step explanation:

Answer:

The equation is;

S = 18 - 1.5t  

Step-by-step explanation:

From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t

After 4 hours of melting, the snow depth is 12 inches  

Now, recall that the rate of melting is 1.5 inches/ hour  

So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches  

So the total depth of the snow initially will be 6 + 12 = 18 inches  

So let’s write the equation;

S = 18 - 1.5t  

Where S is the depth of the snow after a particular number of hours t

Answer: -45

Steps: 4.5 × 5 × -2 = -45

Plz mark brainliest:)

Answer:

22.82

Step-by-step explanation:

can u plz mark me as brainliest??

Answer:

22.82

Step-by-step explanation:

3.1*1.4 = 4.34

27.16-4.34 = 22.82

[edited, I messed up the order of operations before, sorry]

If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.

If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.

Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.

Note that we can also interpret the translation as

• a shift upward of a - b units, since

(x + a) - b = x + (a - b)

• a shift b units to the right and a units upward, since

(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.

Answer:

1). A. Add/subtract a quantity to/from only one side  

2) B. No

Step-by-step explanation:

Given equation A

5x-2+x = x-4

Given equation B

5x+x = x-4

We can see that the difference between equation A and B is the 2 that subtracted from the left hand sides of the equation A. All other functions and constants remains the same.

For us to be able to get equation B from A, we need to simply add 2 to the left hand side of equation A to cancel out the -2 that is there as shown:

From equation A:

[tex]5x-2+x = x-4[/tex]

Add 2 to the left hand side of the equation

[tex]5x-2+x+2 = x-4[/tex]

Simplify

[tex]5x-2+2+x = x-4\\5x+0+x = x-4\\5x+x = x-4[/tex]

We can see that the resulting function gives the equation B

Hence the option B is correct i.e Add/subtract a quantity to/from only one side  

Let us find the solution to equation A and B

For equation A:

[tex]5x-2+x = x-4\\5x+x-2 = x-4\\6x-2 = x-4\\6x-x = -4+2\\5x = -2\\x = -2/5[/tex]

For equation B:

[tex]5x+x = x-4\\5x+x-x = 4\\6x-x = 4\\5x = 4\\x= 4/5[/tex]

Since we got different solution for x in both equation, hence both equation are not equivalent.

Answer:

Add/subtract the same quantity to/from both sides .... and yes

Step-by-step explanation:

got the answer from khan.

Answer:

n = 484

Step-by-step explanation:

If Confidence Interval  CI = 95 %   then α = 5%  and α/2 = 2,5 %

α/2 = 0,0125

MOE for normal distribution is:

MOE = z * σ/√n

For α/2 = 0,0125    ⇒ z(score) = -2,2

MOE = |-2,2| * 4/√n

0,4*√n = 8,8

√n = 8,8 / 0,4

√n = 22

n = 484

Answer: L is (-5, 2) M is (0,6) N is (2,4)

Step-by-step explanation:

Answer:

5 of each item is how much she should buy

Step-by-step explanation:

Answer:

The flywheel rate of the flywheel is 4 revolutions per second.

Step-by-step explanation:

From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed ([tex]\dot n[/tex]), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:

[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)

Where:

[tex]n[/tex] - Number of revolutions done, measured in revolutions.

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]n = 60\,rev[/tex] and [tex]t = 15\,s[/tex], then the angular speed of the flywheel is:

[tex]\dot n = \frac{60\,rev}{15\,s}[/tex]

[tex]\dot n = 4\,\frac{rev}{s}[/tex]

The flywheel rate of the flywheel is 4 revolutions per second.

Answer:

The answer for that question is 4 per second

Step-by-step explanation:

Just put that answer i know it on your choices i looked up goodle for this answer so your welcome

Hope this help

Pls leave a thanks if it did

Answer:

The performance is good

Step-by-step explanation:

80% of the sales peoples sold less than this...

Answer: Density = 1,282.26 kg/m^3

Step-by-step explanation:

Density =  80 lb/ft^3

We know that:

1lb = 0.4536 kg.

1ft^3 = 0.0283 m^3

then we can write:

1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

we can multiply our equation by this, and it wont be affected, then we have:

Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

Density = 1,282.26 kg/m^3

Answer:

Density = 1,282.26 kg/m^3

Step-by-step explanation:

Density =  80 lb/ft^3

We know that:

1lb = 0.4536 kg.

1ft^3 = 0.0283 m^3

then we can write:

1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

we can multiply our equation by this, and it wont be affected, then we have:

Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)

Density = 1,282.26 kg/m^3

Step-by-step explanation:

Answer:

6 1/6

Step-by-step explanation:

six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6

Answer:

Step-by-step explanation:

Given that the shares cost $d

n shares will be =$dn

paid 2% commission to her broker= (2/100)*nd= 0.02nd

sold the share for $s

paid a fee of $11

Her net proceeds algebraically will be

Net proceed= s-nd-11-0.02nd

collect like terms

Net proceed= s-(nd-0.02nd)-11

Net proceed= s-0.98nd-11

Answer:

it could be 14 2/6 units squared

Step-by-step explanation:

idkI don’t know but for area is units squared and for volume it has units cubed

Answer:

b

Step-by-step explanation:

b is equal to 13/12

move -7/4 over then add the fractions there you go

Answer: x=-2

Step-by-step explanation: You have to do y-y÷x-x. So that means 2-10 which equals -8 and 0- negative 4, which equals 4. So for y, you have -8 and for x you have 4. Then you divide -8÷4 which equals -2

Answer:

4X+2

Step-by-step explanation:

Since there is a negative in front of (4X+5), this will change the signs of both 4x and +5 to (-4X) and (-5) respectively.

This will make the equation look like as follows:-

8X +7 - 4X- 5

Thus on solving we get:-

8X- 4X +7 - 5

= 4X +2

Answer:

7 hours, 22 minutes

Step-by-step explanation:

17:00 (5:00) - 10:00 = 7 hours apart

43 - 21 = 22 minutes

Answer:

0.45576

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Standard Deviation = √variance

Mean = 50

= √9

= 3

z = 51 - 50/3

= 0.11111

Probability value from Z-Table:

P(x<51) = 0.54424

P(x>51) = 1 - P(x<51)

= 1 - 0.54424

= 0.45576

The probability that the dealer will sell 51 or more cars is 0.45576

Answer:

b

Step-by-step explanation:

Answer:

That would take you 7 hours to get to your location.

Answer:

1. constant: 2

2. you can use slope intercept

3. 4 pounds equal 40 cents

4. because it is linear

Step-by-step explanation:

Answer:

 Slope = 6.000/2.000 = 3.000

 x-intercept = 10/3 = 3.33333

 y-intercept = -10/1 = -10.00000

Step-by-step explanation:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -4.000 - (-10.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Answer:

x=10/3

Step-by-step explanation:

0+2=-3x+12

2=-3x+12

3x=12-2

3x=10

Given:

The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = [tex]\pi r^2[/tex]

Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]

where, r is radius and l is slant height.

According to the question,

[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]

Multiply both sides by.

[tex]4\pi r^2=\pi rl+\pi r^2[/tex]

[tex]4\pi r^2-\pi r^2=\pi rl[/tex]

[tex]3\pi r^2=\pi rl[/tex]

Cancel out the common factors from both sides.

[tex]3r=l[/tex]

Now, ratio of the radius  to the slant height is

[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]

[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]

Therefore, the ratio of the radius  to the slant height is 1:3.

Answer:

Hot dogs- 4 packs (9 times 4 = 36)

Buns - 3 packs (12 times 3 = 36)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A plane took 1.5 hours to complete the journey of 915 miles.

Therefore, constant of proportionality will be,

k = [tex]\frac{915}{1.5}=610[/tex]

[tex]\frac{y}{x}=610[/tex]

y = 610x

Time in hours (x)                 Distance in miles (y)           Constant [tex](\frac{y}{x})[/tex]

         1                              y = 610x ⇒ y = 610 miles             610

        1.5                                           915                                   610                                                

         2                              y = 2 × 610 = 1220 miles             610              

       2.5                             y = 2.5 × 610 = 1525 miles          610