12 yellow balls and 9 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the probability that the first ball drawn is a red ball if the second ball drawn is yellow? a) 0.8333 b) 0.4500 c) 0.5714 d) 0.4762 e) 0.2593 f) None of the abov

Answers

Answer 1

If 21 balls are placed in an urn, 12 being yellow, and 9 being red, the probability that the first ball drawn is a red ball is always 9/21 or approximately 0.4286. This answer is true regardless of what color the second ball is. The answer to this question is f) None of the above.

Related Questions

Express the decimal number 100 in all radices from 2 to 9

Answers

A decimal number can be converted into diffrent radices by continuos division and recording the remainders.

Part 1

To convert the decimal number 100 to radix 2, we have:

[tex] \frac{100}{2} =50 \ remainder \ 0 \\ \\ \frac{50}{2} =25 \ remainder \ 0 \\ \\ \frac{25}{2} =12 \ remainder \ 1 \\ \\ \frac{12}{2} =6 \ remainder \ 0 \\ \\ \frac{6}{2} =3 \ remainder \ 0 \\ \\ \frac{3}{2} =1 \ remainder \ 1 \\ \\ \frac{1}{2} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 2 is 1100100

Part 2:

To convert the decimal number 100 to radix 3, we have:

[tex]\frac{100}{3} =33 \ remainder \ 1 \\ \\ \frac{33}{3} =11 \ remainder \ 0 \\ \\ \frac{11}{3} =3 \ remainder \ 2 \\ \\ \frac{3}{3} =1 \ remainder \ 0 \\ \\ \frac{1}{3} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 3 is 10201

Part 3:

To convert the decimal number 100 to radix 4, we have:

[tex]\frac{100}{4} =25 \ remainder \ 0 \\ \\ \frac{25}{4} =6 \ remainder \ 1 \\ \\ \frac{6}{4} =1 \ remainder \ 2 \\ \\ \frac{1}{4} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 4 is 1210

Part 4:

To convert the decimal number 100 to radix 5, we have:

[tex]\frac{100}{5} =20 \ remainder \ 0 \\ \\ \frac{20}{5} =4 \ remainder \ 0 \\ \\ \frac{4}{5} =0 \ remainder \ 4[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 400

Part 5:

To convert the decimal number 100 to radix 6, we have:

[tex]\frac{100}{6} =16 \ remainder \ 4 \\ \\ \frac{16}{6} =2 \ remainder \ 4 \\ \\ \frac{2}{6} =0 \ remainder \ 2[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 244

Part 6:

To convert the decimal number 100 to radix 7, we have:

[tex]\frac{100}{7} =14 \ remainder \ 2 \\ \\ \frac{14}{7} =2 \ remainder \ 0 \\ \\ \frac{2}{7} =0 \ remainder \ 2[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 202

Part 7:

To convert the decimal number 100 to radix 8, we have:

[tex]\frac{100}{8} =12 \ remainder \ 4 \\ \\ \frac{12}{8} =1 \ remainder \ 4 \\ \\ \frac{1}{8} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 144

Part 8:

To convert the decimal number 100 to radix 9, we have:

[tex]\frac{100}{9} =11 \ remainder \ 1 \\ \\ \frac{11}{9} =1 \ remainder \ 2 \\ \\ \frac{1}{9} =0 \ remainder \ 1[/tex]

Starting from the bottom we collate the remainders.

Therefore, the value of decimal number 100 in radix 5 is 121

Which is another way to name UST? TSR TSU USR UTS

Answers

Another was to name it is <TSU.

TSU is the correct answer

all real numbers that are less than or equal to -27?in interval notation.

Answers

All real numbers that are less than or equal to -27?in interval notation.

(-∞, -27]

Final answer:

The set of all real numbers less than or equal to -27 in interval notation is (-∞, -27].

Explanation:

The set of all real numbers that are less than or equal to -27 can be represented in interval notation as (-∞, -27]. In interval notation, a square bracket indicates that the endpoint is included in the set. In this case, -27 is included because the question states 'less than or equal to.' The symbol '-∞' represents negative infinity, indicating that there is no lower bound on the set.

Learn more about Interval Notation here:

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jeff finds some bugs. he finds 10 fewer grasshoppers than crickets. he finds 5 few crickets than ladybugs. if jeff finds 5 grasshoppers. how many ladybugs does jeff find? how many crickets does he finds?

Answers

Answer:
Jeff finds 15 crickets
Jeff finds 20 ladybugs

Explanation:
Assume that the number of grasshoppers is x, the number of crickets is y and the number of ladybugs is z

We are given that:
1- Number of grasshoppers is 10 less than number of crickets.
This means that:
x = y - 10 .............> equation I

2- Number of crickets is 5 less than number of ladybugs.
This means that:
y = z - 5 ..............> equation II

3- Jeff found 5 grasshoppers.

Substitute with value of grasshoppers in equation I to get the number of crickets as follows:
x = y - 10
5 = y - 10
y = 10 + 5
y = 15 crickets

4- Now we know that the number of crickets is 15, substitute with that value in equation II to get the number of ladybugs as follows:
y = z - 5
15 = z - 5
z = 15 + 5
z = 20 ladybugs

Based on the above:
number of crickets is 15
number of ladybugs is 20

Hope this helps :)

Jeff found 15 crickets and 20 ladybugs

Let the number of grasshoppers be x

Let the number of crickets be y

Let the number of ladybugs be z

If Jeff finds 10 fewer grasshoppers than crickets, hence x = y - 10

If he finds 5 few crickets than ladybugs, hence y = z - 5

If jeff finds 5 grasshoppers, hence x = 5

Since x = y - 10

5 = y - 10

y = 5 + 10

y = 15

Similarly since y = z - 5

15 = z - 5

z = 15 + 5

z = 20

This shows that Jeff found 15 crickets and 20 ladybugs

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Find the probability and interpret the results. if convenient, use technology to find the probability. during a certain week the mean price of gasoline was $2.715 per gallon. a random sample of 32 gas stations is drawn from this population. what is the probability that the mean price for the sample was between $2.691 and $2.732 that week? assume sigmaσequals=$0.049

Answers

From the given question:

[tex]\mu=\$2.715 \\ \\ \sigma=\$0.049[/tex]

The probability of a normally distributed data between two values (a, b) is given by:

[tex]P(a\ \textless \ \bar{x}\ \textless \ b)=P\left( \frac{b-\mu}{\sigma/\sqrt{n}} \right)-P\left( \frac{a-\mu}{\sigma/\sqrt{n}} \right)[/tex]

Thus,

[tex]P(\$2.691\ \textless \ \bar{x}\ \textless \ \$2.732)=P\left( \frac{\$2.732-\$2.715}{\$0.049/\sqrt{32}} \right)-P\left( \frac{\$2.691-\$2.715}{\$0.049/\sqrt{32}} \right) \\ \\ =P(1.963)-P(-2.771)=0.97515-0.0028=\bold{0.97235}[/tex]

Final answer:

To find the probability of the sample mean price being between $2.691 and $2.732, calculate the Z-scores for each bound and use a Z-table or statistical software. This utilizes the central limit theorem and the concept of Z-scores in statistics.

Explanation:

The question is about finding the probability that the mean price for a sample of 32 gas stations was between $2.691 and $2.732, assuming the population mean was $2.715 and standard deviation was $0.049. To solve this, we use the Z-score formula for each sample mean, Z = (X - μ) / (σ/√n), where μ is the population mean, σ is the population standard deviation, and n is the sample size. Then, we find the area between these Z-scores using a Z-table or statistical software to get the probability.

To calculate:

For $2.691: Z = ($2.691 - $2.715) / ($0.049/√32) = -3.44For $2.732: Z = ($2.732 - $2.715) / ($0.049/√32) = 2.45

Refer to a Z-table or software with these Z-scores to find the probability of the sample mean price being between $2.691 and $2.732. This method exemplifies how statisticians use Z-scores and the central limit theorem to estimate probabilities relating to sample means.

One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes?

A First one
B second one
C third one
D last one

Answers

1.55 / 1 = x / 3.5....$ 1.55 to 1 lb = $ x to 3.5 lbs

first one <==

it could have also been : 1 / 1.55 = 3.5 / x...but that is not an answer choice

Answer:

Step-by-step explanation:

One pound of grapes costs $1.55. To find the amount x of 3.5 pounds of grapes we would have to multiply 1.55 by 3.5. This would give us the amount x we would have to pay for them.

If we examine the 4 equivalent radios shown in the pictures, we will see that the first one correctly shows this equivalency.

[tex]\frac{1.55}{1} = \frac{x}{3.5}[/tex]

The other 3 pictures show radios that would give us x = 3.5 / 1.55 (second and third) or x = 1.55 / 3.5 (fourth picture).

Therefore, the correct answer would be a)

Sharon earns $25 per item she sells plis a base salary of $100 per week. Write and solve an inequality to finfmd how many items she must selll to earn at least $700per week.

Answers

Equation is 25x + 100 is greater than or equal to 700. First subtract 100 from 700. Then divide 600 by 25 = 24. Sharon must Sell greater than or equal to 24 items

A company borrowed $25,000 at 3.5% and was charged $2,625 in interest. How long was it before the company repaid the money?

Answers

3 years. Since no mention of compounding was made I will assume that it's 3.5% simple interest. So first, let's calculate what percent of the entire loan was interest. Just a simply matter of division. 2625 / 25000 = 0.105 = 10.5% Now lets' divide the percentage of the loan that was paid in interest by the interest rate. 10.5% / 3.5% = 3 So the company took 3 years to repay the loan.

Answer-

The company repaid the money in 3 years.

Solution-

A company borrowed $25,000 at 3.5% and was charged $2,625 in interest.

Considering the interest as simple interest,

[tex]\text{interset}=\dfrac{\text{Principal}\cdot \text{Rate of interest}\cdot \text{Time period}}{100}[/tex]

Here,

Interest = $2625

Principal = $25000

Rate of interest = 3.5% annually

Putting the values,

[tex]\Rightarrow 2625=\dfrac{25000\times 3.5\times t}{100}[/tex]

[tex]\Rightarrow t=\dfrac{2625\times 100}{25000\times 3.5}[/tex]

[tex]\Rightarrow t=3\ years[/tex]

Therefore, the company repaid the money in 3 years.

What is the constant of proportionality I. The equation y=5x?

Answers

Answer:

The value of the constant of proportionality is [tex]k=5[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

The value of the constant k is equal to the value of the slope

In this problem we have

[tex]y=5x[/tex] ------> is a linear direct variation

The slope is [tex]m=5[/tex]

therefore

The value of the constant of proportionality is [tex]k=5[/tex]

The constant of proportionality on the equation is 5.

To obtain the constant of proportionality ;

We compare the general direct proportionality relation with the equation given.

The equation given : y = 5x

The direct relationship between y and x is :

y α x

y = kx - - - (1)

Where, y and x are variables and k is the constant of proportionality.

Comparing equation (1) with the equation given :

y = kx

y = 5x

We can observe that, k in the equation (1) equals to 5 in the given equation.

Hence, the constant of proportionality is 5

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Use the graph of y = tan x to find all values of x, 0 ≤ x ≤ 2π, for which the following is true.

tan x is undefined

Answers

check the picture below, notice the red asymptotic lines.

now, recall that

[tex]\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \\\\\\ tan\left( \frac{\pi }{2} \right)=\cfrac{sin\left( \frac{\pi }{2} \right)}{cos\left( \frac{\pi }{2} \right)}\implies \stackrel{und efined}{tan\left( \frac{\pi }{2} \right)=\cfrac{1}{0}} \\\\\\ tan\left( \frac{3\pi }{2} \right)=\cfrac{sin\left( \frac{3\pi }{2} \right)}{cos\left( \frac{3\pi }{2} \right)}\implies \stackrel{und efined}{tan\left( \frac{\pi }{2} \right)=\cfrac{-1}{0}}[/tex]

How do I answer question #9

Answers

add 6,3, and 5 together to get. 14. subtract 14 and 26. you get 12 left over. 12 mm less rain is the answer

Hello ItzJibblez!

STEPS
1. First you will add 6 mm+ 3 mm + 5 mm = 14
2. Then you subtract 26 - 14 = 12.

So the answer to your amazing question is 14 mm!

Have an awesome day!!!

I need help fast!! Having trouble with this!!

Answers

THE ANSWER TO THIS PROMBLEM IS A

d = 8t

if t = 0 then d =0
if t =1 then d =8x1 = 8
if t = 2 then d = 8x2 = 16

answer is C.
d = 8t

Use integers to represent the values in the statement.The hightest elevation in a country is Mt.Snowy with an altitude of 15178 feet.The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level

Answers

the lowest elevation can be represented in integers like this: -237 feet
because it is below sea level, it is negative
the highest elevation can be expressed like so: 15178 feet

Answer:

Integers include positive Natural Numbers and Negative Natural numbers along with number which has no value called Zero.

Positive Integer=1,2,3,4.........Infinity

Negative Integer= -1,-2,-3,-4,...... -Infinity

Height of Mt.Snowy which is above sea level can be represented in terms of Integers = + 15,718 feet

Height of Green Valley which is above sea level can be represented in terms of Integers = + 237 feet

As, both Mountain snowy and Green valley are above sea level , so it will be represented by positve Integers.

186.302 in expanded form

Answers

100 + 80 + 6 + .3 + .002

Which equation has a y-intercept of 0?

A) y = 7x + 1

B) y = -3x

C) y = 4x - 4

D) y = x + 5

Answers

The answer would be B because, unlike the others, it only shows the slope.

Compare all of these equations to y = mx + b. The "b" represents the y-intercept. The correct answer here is the equation that has no "b." This means that b = 0.

If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two lines are undefined. C.The slopes of the two lines are zero. D.The slopes of the two lines are negative reciprocals.

Answers

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

Answer:

The answer to your question is D. The slopes of the two lines are negative reciprocals.

Step-by-step explanation:

Hope this helps have a great day :D

!!!!PLEASE HELP!!!!

Joe purchased a tray of 48 petunias to plant in his garden. The graph shows points representing the number of flowers left to plant at several different times while Joe is planting.

Select from the drop-down menus to complete the equation, in standard form, that represents the relationship between the number of petunias left to plant, y, and the time, x, Joe has spent planting.

Answers

Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)

y - 36 = -12(x - 1)

y - 36 = -12x + 12

12x + y = 12 + 36

12x + y = 48

Answer:

12x + y = 48

Step-by-step explanation:

Donna opens a certificate of deposit (CD) with $2,000. The bank offers a 3% interest rate. If the account compounds quarterly, which of the following equations represents the future value of the account, after 1 year?

Answers

1) Quaterly interes = 3% / 4 = 0.03 / 4

2) Values:

after 1 quarter: 2000 (1 + 0.03/4)

after 2 quarters: 2000 (1 + 0.03/4)^2

after 3 quarters: 2000 (1 + 0.03/40^4

after 4 quarters = 2000 (1 + 0.03/4)^4

You could have used the future value formula directly:

A = C * (1 + r/n) ^ n*t

where r = 3% = 0.03

n = number of periods in a year: 4

t = number of years = 1

C = initial investment = 20000

=> A = 2000 (1 + 0.03/4)^4

Answer: option D. A = 2000 ( 1 + 0.03 /4) 4

which of the following equations represents a direct variation?

A y=x -1
B y=×/3
C y = x + 5
D y = 2x-3

Answers

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is k = = 3 . Thus, the equationdescribing this direct variation is y = 3x .

The equation represents a direct variation is y = x/3. So option (b) is correct.

A direct variation is a relationship between two variables where one variable is a constant multiple of the other. To identify a direct variation, we look for equations in the form y = kx, where k is a constant.

Let's analyze each equation:

A) y = x - 1

This equation doesn't represent a direct variation because it includes a constant term (-1) in addition to the variable x.

B) y = x/3

This equation represents a direct variation because it's in the form y = kx, where k = 1/3.

C) y = x + 5

Similar to option A, this equation doesn't represent a direct variation because it includes a constant term (+5) in addition to the variable x.

D) y = 2x - 3

Similar to option A, this equation doesn't represent a direct variation because it includes a constant term (-3) in addition to the variable x.

Therefore, the correct answer is B) y = x/3, as it represents a direct variation.

Which ordered pairs in the form (x, y) are solutions to the equation 7x−5y=28 ?Solation 7x−5y=28 ? A. (−6, −14) B. (7,9) C. (4,10) D.(-1,-7)

Answers

Probe every pair:

pair       x          y           7x - 5y

A. (-6,-14)    -6 -14    7(-6) - 5(-14) = -42 + 70 = 28 => it is a solution

B. (7,9)           7          9          7(7) - 5(9) = 49 - 45 = 4 => not a solution

C. (4,10)        4          10        7(4) - 5(10) = 28 - 50 = - 22 => not a solution

C. (-1,-7)        -1          -7       7(-1) - 5(-7) = -7 + 35 = 28 => it is a solution

Answer: option A. (-6,-14) and option D. (-1,-7)

Find the inverse laplace transform of the function by using the convolution theorem. f(s) = 1 s5(s2 + 1)

Answers

By the convolution theorem,

[tex]f(t)=(g*h)(t)=\displaystyle\int_{\tau=0}^{\tau=t}g(\tau)h(t-\tau)\,\mathrm d\tau\implies F(s)=G(s)H(s)[/tex]

where [tex]F(s),G(s),H(s)[/tex] are the respective Laplace transforms of [tex]f(t),g(t),h(t)[/tex].

We have

[tex]F(s)=\dfrac1{s^5(s^2+1)}=\dfrac1{4!}\dfrac{4!}{s^5}\times\dfrac1{s^2+1}[/tex]

If we let [tex]G(s)=\dfrac{4!}{s^5}[/tex] and [tex]H(s)=\dfrac1{s^2+1}[/tex], then clearly [tex]g(t)=t^4[/tex] and [tex]h(t)=\sin t[/tex], so by the convolution theorem,

[tex]f(t)=\dfrac1{4!}t^4*\sin t=\displaystyle\frac1{24}\int_{\tau=0}^{\tau=t}\tau^4\sin(t-\tau)\,\mathrm d\tau=\frac{t^4}{24}-\frac{t^2}2+1-\cos t[/tex]

what do Subway fraction and a whole number it is 5/6 x 36

Answers

The answer to this question is 221/6 I believe

If y has moment-generating function m(t) = e 6(e t −1) , what is p(|y − µ| ≤ 2σ)?

Answers

Since [tex]\mathrm M_Y(t)=e^{6(e^t-1}[/tex], we know that [tex]Y[/tex] follows a Poisson distribution with parameter [tex]\lambda=6[/tex].

Now assuming [tex]\mu,\sigma[/tex] denote the mean and standard deviation of [tex]Y[/tex], respectively, then we know right away that [tex]\mu=6[/tex] and [tex]\sigma=\sqrt6[/tex].

So,

[tex]\mathbb P(|Y-\mu|\le2\sigma)=\mathbb P(6-2\sqrt6\le Y\le6+2\sqrt6)=\dfrac{66366}{175e^6}\approx0.940028[/tex]

A business bought a lot of 2,500 lamps for fifty thousand dollars and wants to to sell them at 15% prfit. How much should each lamp cost?

Answers

Let L = how much is lamp should cost

L = [(50,000)(0.15) + 50,000]/(2500)

Calculate the right side of the equation to find your answer.

So 15% of 50000=7500 The answer is 7500

Cory earns $9 per hour working at the local library. If she works 5 hours on Saturday how much money will she earn?

Answers

Cory will earn 45$ on saturday.

The graph of the function f(x) = (x − 3)(x + 1) is shown.

Which describes all of the values for which the graph is positive and decreasing?

A.all real values of x where x < −1
B.all real values of x where x < 1
C.all real values of x where 1 < x < 3
D.all real values of x where x > 3

Answers

There's an error in the graph, but the answer is A.

Answer:

The correct option is A.

Step-by-step explanation:

The given function is

[tex]f(x)=(x-3)(x+1)[/tex]

Equate f(x)=0 to find the x-intercepts of the function.

[tex]0=(x-3)(x+1)[/tex]

[tex]x=3,-1[/tex]

The x-intercepts of the function are -1 and 3. From the below graph it is clear that,

In x<-1, the function is positive and decreasing.

In -1<x<1, the function is negative and decreasing.

In 1<x<3, the function is negative and increasing.

In x>3, the function is positive and increasing.

Therefore the correct option is A.

A given line has the equation 10x + 2y = −2.

Answers

what variable are u solving for?

Answer:

5x+y=12

Step-by-step explanation:

how do i figure out 3/4 of 640 fraction

Answers

640/4 x 3 = 480

answer
3/4 of 640 = 480

A group of friends is collecting aluminum for a recycling drive.Each person who donates at least 4.25 pounds of aluminum receives a free movie coupon.The weight of each person's donation is shown in the table.

A. order the weights of the donations from greatest to least.

B. Which of the friends will receive a free movie coupon? Which will not?

C.What if? Would the person with the smallest donation win a movie coupon if he or she had collected 1/2 pound more of aluminum? Explain

Brenda. Claire Jim. Micah

4.3. 5.5. 6 1/6. 15/4

Peter
4 3/8

Answers

Answer:

Brenda Claire Jim Micah Peter

4.3 5.5 6 1/6 15/4 4 3/8

4.3 5.5 6.17 3.75 4.375 (all values in decimal)

A. order the weights of the donations from greatest to least.

6.17 , 5.5 , 4.375 , 4.3 , 3.75

B. Which of the friends will receive a free movie coupon? Which will not?

As given - Each person who donates at least 4.25 pounds of aluminum receives a free movie coupon.

So, Brenda, Claire, Jim and Peter will receive coupons and Micah will not receive.

C.What if? Would the person with the smallest donation win a movie coupon if he or she had collected 1/2 pound more of aluminum?

Micah got 3.75 pounds and if he got 0.5 pounds more, then he would have;

[tex]3.75+0.5=4.25[/tex] pounds

Then he would have got the coupon as a minimum of 4.25 pounds is required.

Jane is saving her money in order to purchase a new racing bike. She initially saves $3 and plans to double the amount she saves each month. The bike Jane wants is $1,536 at the local bike shop.

Which equation represents this situation, and after how many months, t, will Jane have enough money to purchase the bike?

A, 3(2)t = 1,536; t = 11
B, 3(1.2)t = 1,536; t = 35
C, (3 · 2)t = 1,536; t = 9
D, 3(2)t = 1,536; t = 9

Answers

the Answer is D)
i just did the math. plug 3(2)^9 in to a calculator!

Answer:

Hence, option: D is true.

D) 3×(2)^t = 1,536; t = 9

Step-by-step explanation:

Jane is saving her money in order to purchase a new racing bike. She initially saves $3 and plans to double the amount she saves each month.

he bike Jane wants is $1,536 at the local bike shop.

The equation that represents this situation, and after how many months, t, will Jane have enough money to purchase the bike is:

D) 3×(2)^t = 1,536; t = 9

since in the first month the cost is:

[tex]C_1=3\times 2[/tex]

in next month the cost is:

[tex]C_2=3\times 2\times 2\\\\C_2=3\times 2^2[/tex]

in t=3 months the expression is:

[tex]C_3=3\times 2^2\times 2\\\\C_3=3\times 2^3[/tex]

Hence in general we say:

[tex]C_t=3\times 2^t[/tex]

Hence,

[tex]3\times 2^t=1536\\\\2^t=\dfrac{1536}{3}\\\\2^t=512\\\\2^t=2^9\\\\t=9[/tex]

Hence, option: D is true.

D) 3×(2)^t = 1,536; t = 9

Other Questions

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