A plant can manufacture 100 golf clubs per day for a total daily cost of $7,800 and 120 golf clubs per day for a total daily cost of $8,400. Assuming that the daily cost and production are linearly related, find the number of golf clubs manufactured if the total daily cost is $12,300. * A. 167 B. 250 C. 410 D. 4,800

Answer:

B

Step-by-step explanation:

Answer:

steps

1) 14/28 to convert to a percent you have to first divide the numerator from the demoninator and then  you  multiply by 100 and you get get %50 (you could had known bc 14 is half of 28)

2) 5/28 do the same thing as the first step and get %17.85

-Feel free to ask for more help :)

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

Interest formula: A = Pe^rt

A = amount

P = principal amount

r = interest rate

t = time

We know that in the question we have:

P = 8,000

r = 0.019

t = 6

Now, solve with the given values:

A = 8000e^(0.019*6)

A = 8000e^(0.114)

A = 8966.016...

Round to the nearest hundredth:

8966.016... → 8,966.02

Therefore, the answer is [ $8,966.02 ]

Best of Luck!

Answer:

$8,966.02

Step-by-step explanation:

Amount = 8000 × e^(6 × 1.9/100)

Amount = 8000 × e^0.114

Amount = 8966.016999

Answer:

x^2 -10x -96 =0

Step-by-step explanation:

Subtract the zeros from x in factors

(x - -6) (x-16)

(x+6) (x-16)

Set these equal to zero since they are zeros

(x+6) (x-16)  =0

FOIL

x^2 -16x+6x -96 =0

x^2 -10x -96 =0

Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

Step-by-step explanation:

Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum

Scale factor are used to increase or diminish the original figrure.

Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:

A = length * width * heiht

A = abc

If the measure of the sides are doubled, hence;

New volume = 2a * 2b * 2c

New volume = 8abc

Ratio = 8abc/abc
Ratio = 8

Hence the new volume will be 8times larger than the initial volume

Learn more on volume of a figure here: https://brainly.com/question/511679

Answer:

A

Step-by-step explanation:

Given

f(x) = - 9(x + 5)² + 4 ← expand parenthesis using FOIL

     = - 9(x² + 10x + 25) + 4 ← distribute parenthesis by - 9

     = - 9x² - 90x - 225 + 4 ← collect like terms

     = - 9x² - 90x - 221 ← in standard form

Answer: Bro write the question better

Step-by-step explanation:

Answer:

$3,125

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Answer:

10 Seconds

Step-by-step explanation:

Speed of Elene = 3m/s

Speed of Abbi = 2m/s

Let the  time be t  seconds taken by Elene to  catch abbi.

Distance for any speed S and time is calculated by formula given below

Distance = speed * time

Since it is given that Elene has given abbi 10 m head start it means that

Elene has to run extra 10 meters than Abbi to catch abbi.

Thus we can say that

distance run by Elene = 10 m + distance run by Abbi

Substituting that value distance run by Elene from equation A

and distance run by Abbi from equation B

we have

3t = 2t +10

=>3t - 2t = 10

=> t = 10

Therefore it will take 10 second for elene to catch abbi.

Answer:

The difference between the number of expected outcomes and the number of actual outcomes = 5

Step-by-step explanation:

She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.

Probability of the counter landing on either of the two sides is exactly = (1/2)

Probability of the counter landing on the red side = (1/2)

Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)

In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)

p = (1/4)

Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials

= np = 80 × (1/4) = 20

Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25

The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5

Hope this Helps!!!

Step-by-step explanation:

I think 40 should be the first term in the sequence because it is given 40.. 6n - 1

Answer:

It is D, and or 57

Step-by-step explanation:

Answer:

54 sq in.

Step-by-step explanation:  9x12= 108   108 divided by 2 = 54

so yeah

Answer:

40°

Step-by-step explanation:

complementary angels makes the sum of two angles = 90°

so

<ABC + < CBD = 90°

if <ABC = 50°

then 90° - 50° = 40°

Answer:

y > -4

Step-by-step explanation:

−2y<8

Divide each side by -2, remembering to flip the inequality since we are dividing by a negative

-2y/-2 > 8/-2

y > -4

Answer:

Last option

y > -4

Step-by-step explanation:

-2y < 8

Switch sides

-8 < 2y

-4 < y

Or

y > -4

Answer:

The first question would be G and the second one would be C

Step-by-step explanation:

Answer:

17 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 15^2 =c^2

64+225 = c^2

289 = c^2

Take the square root of each side

sqrt(289) = sqrt(c^2)

17 = c

Answer:

The hypotenuse is 17cm

Step-by-step explanation:

Pythagoras theorem is :   [tex]a^{2} +b^{2} =c^{2}[/tex]

To work out the hypotenuse of this triangle you would first need to know Pythagoras theorem. The theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]. A and B are the 2 lengths given in this question and c is the hypotenuse.

The first step in working out the hypotenuse is to square the base of 8, this gives you 64.

Then you would need to square the height of 15, this gives you 225. This is because we are substituting the values into a and b.

Then the next step is to add the values of 64 and 225, this gives you 289.

The final step is to root the value of 289, which gives you 17cm. This is because as c is the hypotenuse while the value worked out is c squared and so to work out c you would have to root it.

1) Square the base of 8cm.

[tex]8^{2} =64[/tex]

2) Square the height of 15cm.

[tex]15^{2} =225[/tex]

3) Add 64 and 225.

[tex]64+225=289[/tex]

4) Root the value of 289.

[tex]\sqrt{289}= 17cm[/tex]

Answer:

(1,2)

Step-by-step explanation:

I graphed the inequality on the graph below and found which answer was a solution.

If this answer is correct, please make me Brainliest!

Answer:

C. Fair Credit Billing Act

Step-by-step explanation:PLATO

Answer:

g(3)=9

Step-by-step explanation:

We want to find what g(x), or y is, when x is equal to 3.

Therefore, we can substitute 3 in for x in the equation

g(x)=x^2

g(3)=3^2

Evaluate the exponent

g(3)=3*3

g(3)=9

So the right answer is 5/6.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{2}{6} \\ \frac{6 + 4}{6 \times 2} \\ \frac{10}{12} \frac{ \div 2}{ \div 2} \\ = \frac{5}{6} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

8 over 20

Step-by-step explanation:

i guessed

Answer:

6 Over 10

Step-by-step explanation:

I did the math and got 100% on my Unit Test.

Answer:

$5.65

Step-by-step explanation:

1.29 x 3 + 0.89 x 2= $5.65

:3

Answer:

The sample proportion is 0.253.

Step-by-step explanation:

We are given that a 90% confidence interval for a proportion is found to be (0.22, 0.28).

Firstly, as we know that the confidence interval for sample proportion is calculated as;

90% confidence interval = Sample proportion [tex]\pm[/tex] Margin of Error

Here, let [tex]\hat p[/tex] = sample proportion

Also, the level of significance = 1 - 0.90 = 0.10 or 10%

And, the critical value of z at 5% (two-sided) level of significance is 1.645.

So, 90% confidence interval =  [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

           (0.22 , 0.28)    =   [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

This means;  

          0.22  =  [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]  -------------- [Equation 1]

          0.28  =  [tex]\hat p + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]  -------------- [Equation 2]

From equation 1 and 2, we get;

           [tex]0.22 + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

           [tex]1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 -0.22[/tex]

             [tex]2 \times 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } =0.06[/tex]

                 [tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =\frac{0.06}{2 \times 1.645}[/tex]

                  [tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =0.02[/tex]

Now, squaring both sides, we get;

                    [tex]{\frac{\hat p(1-\hat p)}{n} } =0.0004[/tex]

                      [tex]n ={\frac{\hat p(1-\hat p)}{0.0004} }[/tex]

Now, putting value of n in equation 1, we get;

                    0.22  =  [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]  

                    0.22  =  [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{\hat p(1-\hat p)}\times 0.0004 }[/tex]

                    0.22  =  [tex]\hat p - 1.645 \times \sqrt{ 0.0004 }[/tex]

                    0.22  =  [tex]\hat p -( 1.645 \times 0.02)[/tex]

                    0.22  =  [tex]\hat p -0.033[/tex]

                      [tex]\hat p = 0.22 + 0.033[/tex] = 0.253

Therefore, the sample proportion  [tex]\hat p[/tex] is 0.253.

Answer:

A character is offered five different jobs. They all include an hourly wage, as well as a set weekly base pay. One example is a job that pays $8.50 an hour, plus an additional $25 bonus for the week. (Weekly base pay is what you automatically get paid for working the entire week. A bonus is money you earn in addition to the weekly base pay.) Story Starter 2: A character is searching for the best cell phone plan to buy. One plan costs $25 a month, plus $0.89 per minute used. Story Starter 3: A character is trying to decide which cab to choose from the five available. All the cabs have different rates per mile. They also charge different flat rates in addition to the rates per mile. One cab is offering a rate of $0.75 per mile, plus a flat fee of $25.

Step-by-step explanation:

Answer: 1 i think is option b, 2 i think is option c, page 2, question 1 i think is option b, question 2 i think is option a, page 3, question 1 i think is option a or b, and the last one i think is option c

Step-by-step explanation: i cant figure out others

Answer:

C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]

Step-by-step explanation:

Before we start, you can think of the variable "c," as x.

The quadratic formula/equation is:

[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4c^2+7c-5=0[/tex]

Plug in the numbers accordingly to the letter associated, like so:

[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]

[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]

[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]

Answer:

C. [tex]\frac{21}{25}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10+8+6+9+5+12}[/tex]=[tex]\frac{8}{50} =\frac{4}{25}[/tex]

so to not get a 2, the experimental probability would be [tex]\frac{21}{25}[/tex] or C

Answer:

C 21/25

Step-by-step explanation:

first yo need to add up every single number.

10+8+6+9+5+12=50

than do this

(10+6+9+5+12)/50=42/50=21/25

so the answer will C