The projected worth (in millions of dollars) of a large company is modeled by the equation w = 236(1.06) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2011? A. 6%; $448.00 million B. 16%; $474.88 million C. 16%; $250.16 million D. 6%; $422.64 million

Answers

Answer 1

Answer:

  A.  6%, $448 million

Step-by-step explanation:

a) The base of the exponential term is 1.06, so the projected annual growth is 1.06 -1 = .06 = 6%

__

b) Filling in 11 for t, we find the projected worth to be ...

  w = 236(1.06^11) ≈ $448 . . . million


Related Questions

A national sampling of cookie preferences showed that 75% of people like chocolate chip, 50% like peanut butter, and only 3% like coconut. The use of this information makes sense in which of the following scenarios? A. The school cafeteria decides to make 3 coconut cookies for each 100 students who buy lunch, even though it puts them over budget for desserts. B. A national cookie company is thinking of changing the recipe in their peanut butter cookies. C. A national cookie company decides to spend $5 million in advertising to convince people to eat coconut cookies. D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.

Answers

Answer:

D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.

Step-by-step explanation:

I believe that is correct....

The monthly budget is shown in the circle graph. The family has a
income of $4800 How much money do they spend on transportation each
C. $240
D. $288​

Answers

Answer:

$240

Step-by-step explanation:

The amount they spend on a monthly basis for transportation = percentage represented on the circle covered by transportation ÷ 100% × the total monthly income.

= [tex] \frac{5}{100} * 4800 [/tex]

[tex] = 0.05 * 4800 = 240 [/tex]

Money spent on transportation = $240

Answer: the cash that is Paid each is 240$

find the lower quartile for the data {47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4}

Answers

Answer:

The lower quartile is 23.4

Step-by-step explanation:

The given data are;

47.2, 33.8, 43, 62, 5.8, 9, 61.4, 30.8, 68.2, 51.6, 13.2, 17.4, 64.2, 50.6, 29.4, 40.4

Rearranging the data, we have;

5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4, 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2

The lower quartile, Q₁, is the (n + 1)/4 th term which is (16 +1)/4 = 4.25th term

However since we have an even set of numbers, we place a separator at the middle and we look for the median of the left half as follows

5.8, 9, 13.2, 17.4, 29.4, 30.8, 33.8, 40.4║ 43, 47.2, 50.6, 51.6, 61.4, 62, 64.2, 68.2

We have two numbers (17.4 + 29.4) at the median of the left set of numbers, we find the average of the two numbers to get the lower quartile

The lower quartile is therefore = (17.4 + 29.4)/2 = 23.4.

Still can’t get the answer

Answers

Answer:

Arliss needs [tex]4 \frac{1}{3}[/tex] yards more.

Step-by-step explanation:

We can look at the fractions [tex]2 \frac{1}{3}[/tex] and [tex]3 \frac{1}{3}[/tex] and add them up.

Looking at the whole numbers, [tex]2+3=5[/tex].

Looking at the fractional parts, [tex]\frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex].

So all together, she currently has [tex]5 \frac{2}{3}[/tex] yards.

If she wants to get to 10, we need to find how many more yards we need.

Let's level it out quickly - having [tex]\frac{1}{3}[/tex] more of a yard will give is 6 yards.

[tex]10-6=4[/tex], so in total we added

[tex]4 \frac{1}{3}[/tex] more yards.

So she needs [tex]4 \frac{1}{3}[/tex]  more yards.

Hope this helped!

ASAP PLZ ANSWER 50 POINTS How do I determine if -3x+y =8 is a function?

Answers

Answer:

To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).

Step-by-step explanation:

Answer:

graph

Step-by-step explanation:

did you mean in graph

create a fraction using (-3,-2)(1,-6)

Answers

3/2 and -1/6 (hope it’s right)

Convert to a simplified fraction.

(-3,-2)

3/2

(1,-6)

-1/6

Together they just equal -9, so hopefully, your teacher wants those fractions instead.

n/2-3n/4+5n/6=21 please tell the answer​

Answers

Answer:

n= 36

Step-by-step explanation:

36/2-3 x 36/4+5 x 36/6=21

please give me brainliest if i got this right

Answer:

n=36

Step-by-step explanation:

By simplifying both sides of the equation, then isolating the variable.

n=36

I did this quickly so sorry if it's no help

Find a49 of the sequence 70,63,56,49,…. A. -63 B. -266 C. -273 D. -243

Answers

Answer:

(B) -266

Step-by-step explanation:

The formula to find the nth term in a sequence is:

[tex]x_{n} = a + d(n-1)[/tex], where a is the first term and n is the "difference."

Looking at this equation, we can see that the number decreases by 7 each time and the first term is 70.

So:

[tex]x_n = 70 + -7(n-1)[/tex]

Solve for the equation:

[tex]x_n = 70 + -7n+7\\x_n = -7n+77[/tex]

Since we want to find the 49th term:

[tex]x_9 = -7(49) + 77\\x_9 = -343+77\\x_9 = -266[/tex]

Hope this helped!

Please help,thanks!(:

Answers

Answer:

<4=<2

x+30=2x+15

x=15

therefore <4=(15)+30

=45°

A sequence starts at 200 and 30 is subtracted each time . 200 , 170, 140 ...
What are the first two numbers in the sequence that are less than zero ?​

Answers

Answer:

-10 & -40

Step-by-step explanation:

the last number before you get to 0 when continuing the -30 trend is 20. 20-30= -10. Then to get the next number simply subtract 30 again to get -40. Therefore, your answers are -10 & -40.

Answer:

-10 and - 40

Step-by-step explanation:

If 30 is subtracted.

30×6= 180

200-180=20

20-30= - 10

-10-30= - 40.

.:the first two numbers less than zero are. - 10 AND - 40

4x+5 ≤ 2x-3 is equivalent to

Answers

Answer:

x ≥ -4

Step-by-step explanation:

4x+5 ≤ 2x-3

Collect like terms

4x-2x ≤ -3-5

Simplify

2x ≤ -8

Divide both sides by 2

2x / 2 ≤ -8 / 2

x ≥ -4

Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny Hill Ski Resort charges $50 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same.

Answers

Answer:

25 + 10h = 50+5h

Step-by-step explanation:

Black Diamond Ski Resort

25 + 10h

Bunny Hill Ski Resort

50+5h

We want when they are equal

25 + 10h = 50+5h

Answer:

10x + 25 = 5x + 50

Step-by-step explanation:

Plzz help tysm if you do

Answers

Answer:

B

Step-by-step explanation:

it is defined for all values so D=R

also we can get any value

so Range =R

Answer:

B

Step-by-step explanation:

because that's odd power function it can take both, negative and positive values

2 = 3 − q what does 9 equal

Answers

Step-by-step explanation:

2 = 3 - q

1 = (3 - q)×1/2

9 =(3 - q) ×1/2×9

9 = 27 - Q/2

Answer:

Step-by-step explanation

Camille had $275 in her checking account . she deposited $812 and wrote checks $75, $60, and $48. how much did she have in the account after all these transactions?

Answers

She would have $904. 275 + 812= 1087. 75 + 60 + 48= 183. 1087 - 183 = 904. Check the math to make sure, I did it in my head.

I don’t really understand this

Answers

Answer

pretty sure its a or c, sorry I cant be more specific

Step-by-step explanation:

Please answer this question now

Answers

Hello!

Answer:

[tex]\huge\boxed{V = 60 m^{3}}[/tex]

Formula for the volume of a triangular pyramid:

V = 1/3(bh)

The base is a triangle, so b = 1/2(b · h)

Solve for the base:

b = 1/2(8 · 5)

b = 1/2(40)

b = 20 m²

Solve for the volume:

V = 1/3(20 · 9)

V = 1/3(180)

V = 60 m³.

Hope this helped you!

Answer:

60 cubic meters

Step-by-step explanation:

I used the formula V = 1/3 AH to figure it out

what is happening to this graph when the x vaules -1 and 1

Answers

Answer:

c.

Step-by-step explanation:

Answer:

Hey there!

The graph is decreasing when the x values are between -1 and 1.

Let me know if this helps :)

Jameel drew circle A and found that the measure of the is 58°. He knows that he can use this measure to determine the measure of many of the other angles shown in the circle. Enter the measure of ∠ADB.

Answers

The  measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.

Measure of angle ADB

Given:

∠CAD=58°

Hence:

∠BAD=180°-58°

∠BAD=122°

Since ∠ABD is isosceles, thus:

∠ADB-∠ABD

180°-122°=58°

2∠ADB=58°/2

∠ADB=29°

Therefore the  measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.

Learn more about Measure of angle ADB here:https://brainly.com/question/22818502

#SPJ1

Solve for x. 3x-91>-87 AND 17x-16>18

Answers

Answer & Step-by-step explanation:

For this problem, we have two inequalities to solve for x.

3x - 91 > -87

17x - 16 > 18

Now that we know what our inequalities are, we will solve them as if we are solving for the value of x.

3x - 91 > -87

Add 91 on both sides.

3x > 4

The solution for the first inequality is 3x > 4

Now let's do the second inequality.

17x - 16 > 18

Add 16 on both sides.

17x > 34

Divide by 17 on both sides.

x > 2

The soultion for the second inequality is x > 2

Answer:

The answer is x>2

Step-by-step explanation:

PLEASE HELP ASAP!!
The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?

Answers

Answer:

[tex] IJ = 2(KL) [/tex]

Step-by-step explanation:

From the information given, the smaller figure was dilated on a scale factor of 2, to produce the bigger figure. In essence, the bigger figure is times 2 of the smaller figure.

Therefore, line IJ would be twice the length of KL.

The relationship that both lines have can be represented as: [tex] IJ = 2(KL) [/tex]

Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage.

Answers

Answer:

C. Quadratic model

Step-by-step explanation:

Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear

Given:

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

The price of the corn per bushel with time = 5 + 0.15×t

The amount of corn left with time= 1000 - 10×t

Where;

t = Time in minutes

Value of the corn = Amount of corn left × Price of corn

Value of the corn = (1000 - 10×t) × (5 + 0.15×t)

=(1000-10t) × (5+0.15t)

=5,000 + 150t - 50t - 1.5t²

= -1.5t² +100t + 5000

Value of the corn= -1.5t² +100t + 5000.

It is a quadratic model

Find the value of x. Round to the nearest degree.

60
33
57
29

Answers

Answer:

33

Step-by-step explanation:

that is pretty close to a 45 degree angle so i would say about 33

Answer:

33

Step-by-step explanation:

First find the missing side...

11^2 + a^2 = 20^2

121 + a^2 = 400

400 - 121 = a^2

a^2 = 279

a = 16.7

A = 16.7, B = 11, C = 20

20 - 16.7 = 3.3

Estimate

3 x 11 = 33

Hii, can you help me ?

Answers

Answer:

The answer is about 15 cm because if you use a ruler, it is a little under 15cm

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

most pens are under 15 cm by a a couple of millimeters. 15 cm  is in fact the best estimate. It really depends on the pen your using but the average pen is about 15 cm.

Does anyone know this

Answers

Answer:

Hey there!

The domain of the graph would be [tex]-2\leq x<9[/tex].

Let me know if this helps :)

Answer:

-2 to 9

Step-by-step explanation:

The domain of a graph consists of all the input values shown on the x-axis

Find the sets of values of x for which x(x+2) < x.​

Answers

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Let's solve your inequality step-by-step.

[tex]x(x+2)<x[/tex]

[tex]x^2 + 2x < x[/tex]

Let's find the critical points of the inequality.

[tex]x^2 + 2x = x[/tex]

[tex]x^2 + 2x - x - x[/tex]  (Subtract x from both sides)

[tex]x^2 + x = 0[/tex]

[tex]x ( x + 1 ) = 0[/tex] (Factor left side of equation)

[tex]x = 0 |OR| x + 1 = 0[/tex] (Set factors equal to 0)

[tex]x = 0 |OR| x = -1[/tex]

Check intervals in between critical points. (Test values in the intervals to see if they work.)

[tex]x < - 1[/tex] (Doesn't work in original inequality)

[tex]-1 < x < 0[/tex] (Works in original inequality)

[tex]x > 0[/tex]  (Doesn't work in original inequality)

So the answer is : [tex]-1 < x < 0[/tex]

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Identify the type of function represented by f(x) = 3/8(4)^x
A. Exponential decay
B. Exponential growth
C. Linear
D. Quadratic

Answers

variable is in power so it exponential.

the constant and coefficient both are positive so it is exponential Growth.

Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?

Answers

Answer:

35:40 = 7:8 is the equivalent ratio.

Step-by-step explanation:

35 / 5 = 7

40 / 5 = 8

=

7:8

Answer:

the equivalent ratio is 35:40 = 7:8

Step-by-step explanation:

35 divided by 5= 7

40 divided by 5= 8

=7:8

Evaluate the expression 5^3

Answers

Answer: Five to the power of three (5*5*5) is equal to 125.

Hope this helps!

Answer:

125

Step-by-step explanation:

[tex]5^3=\\\\5*5*5=\\\\25*5=\\\\\boxed{125}[/tex]

If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the function f+g is ______

Answers

Answer:

-2 ≤ x ≤ 6

Step-by-step explanation:

For function f:

x - 7 ≤ 0 and x ≥ 0

For function g:

x + 2 ≥ 0 and x - 5 ≤ 0

The sum of the f + g:

x - 7 + x - 5 ≤ 0

2x - 12 ≤ 0

2x ≤ 12

∴ x ≤ 6

Also, x + 2 ≥ 0

x ≥ -2

Hence, -2 ≤ x ≤ 6

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