Mae Ling earns weekly salary of $300 plus a 6.0% commision on sales at a gift shop. How much would she make in a work week if she sold $4,300 worth of merchandise?She will make $ ?

Answer:

Jemma: 22x + 5

Debra: 20x

Step-by-step explanation:

Answer: 5.26% error.

Step-by-step explanation:

The percent error in this case can be calculated using the formula:

| (forecasted value - actual value) / actual value | x 100%

Substituting the given values in the formula, we get:

| (76 - 80) / 80 | x 100% = 5 / 80 x 100% = 0.0625 x 100% = 6.25%

Therefore, the percent error is 6.25%.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer:

36

Step-by-step explanation:

formula of area for square:

A=s^2

s=6

A=6^2

A=36

Answer:

36

Step-by-step explanation:

I got it right

Answer:

Marginal revenue at max revenue = 0

Instantaneous rate of change of revenue at 400 steam irons  is 100

Step-by-step explanation:

We have the price-demand equation as  

\(x = 1000-2p\)

Express p in terms of x

Adding 2p on both sides and subtracting x from both sides yields

\(2p = 1000-x\)

Dividing by 2 on both sides gives us

\(p = 500-\frac{x}{2}\)

The total revenue from selling x steam irons is given by

\(R(x) = px = (500-\frac{x}{2})x = 500x - \frac{x^2}{2}\)    (1)

This revenue is maximized  when the first differential is zero

First differential of \(R(x)\) = \(R'(x) = \frac{d}{dx} (500x - \frac{x^2}{2}) = 500 - \frac{2x}{2} = 500 - x\)  (2)

Setting this equal to zero and solving for \(x\) will give us the value of \(x\) at which the revenue is maximum and therefore the marginal revenue

Setting \(500-x = 0\)

gives

x = 500  

At this demand level marginal revenue is 0

ie the number of steam irons to be sold to maximize revenue

The revenue at this demand level is given by plugging in this value into equation (1)

\(R_{max} = 500(500) - \frac{500^2}{2} = 500^2 - \frac{500^2}{2} = \frac{500^2}{2} = 125,000\)

At x = 400, the instantaneous rate of change is given by plugging in this value into Equation (2)

\(R'(400) = 500-400 = 100\)

and the revenue at x = 400 is obtained by plugging in 400 for the value of x in Eq 1

\(R(400) = (500)(400) - \frac{400^2}{2} = 200,000 - 80,000 = 120,000\)

Hope that helps

Answer:

x = 50

Step-by-step explanation:

2485 ÷ x = 49 R 35

We know that 2485 ÷ x = 49 R 35, or 2485 ÷ x = 49 + 35

Step 1:

Now, I want to subtract 35 from the left side of the equation:

Step 2:

Now I want to find x. We can start by multiplying both sides by x, then dividing by the coefficient.

x = 50

Check:

-Chetan K

Answer:

Step-by-step explanation:

x=40,y=60

Answer:

10-2x=19x+2-5x

We move all terms to the left:

10-2x-(19x+2-5x)=0

We add all the numbers together, and all the variables

-2x-(14x+2)+10=0

We get rid of parentheses

-2x-14x-2+10=0

We add all the numbers together, and all the variables

-16x+8=0

We move all terms containing x to the left, all other terms to the right

-16x=-8

x=-8/-16

x=1/2

Answer:

1,4,8,8,8.334,8.38,9,67

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

The base-nine system of 76 base 10 is 84

We will divide 76 by 9 and write down the remainder

9 | 76 R

9 | 8 | 4

9 |8 | 8

The remainder is then written from the bottom value giving us 84

Consequently, base 10 numbers can be converted to base 9 by dividing by 9 and writing the remainder in the reverse order of bottom to top.

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Answer:

Victor has 18 trophies

Step-by-step explanation:

Let's set up "let statements"

Let d = Dean's trophies

Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...

Let 2d = Victor's trophies

Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...

2d + d = 27

Combine like terms...(2d and d)

3d = 27

Divide 3 on both sides to isolate the variable "d"

3d ÷ 3 = d

27 ÷ 3 = 9

So...

d = 9

That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...

2 · 9 = 18

Therefore, Victor has 18 trophies!

Hope this helps :)

Answer:

260.1615 ; 70.688 ; (53.787 ; 103.304)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Data:

242.87

260.93

194.19

260.76

355.36

346.32

165.37

250.08

326.76

283.56

212

284.08

139.16

436.72

240.87

310.41

223.73

181.25

238.2

250.61

Using calculator :

Sample mean = ΣX / n

Sample mean = 5203.23 / 20

Sample mean, m = 260.1615

Sample mean, m = 260.2

Sample standard deviation (s) :

Σ(X - m) / n - 1

= 70.688

= 70.7

((n-1)*s²) / ²0. 975, 19 ; ((n-1)*s²) / ²0.025, 19

95% confidence interval :

(53.787 ; 103.304)

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

The  AILP for management to decide  how many classes should be scheduled for each subject daily is

The objective function is mathematically represented as

       \(M  =  P_c  *  a  + P_w  *  b\)

=>    \(M  = 720  a  + 300  b\)

Now the first constraints to this functions is

     \(t_c  *  x  + t_w * y  \le t_a\)

=>  \( 7.5  x  + 3 y  \le 56\)

Another constraints to this function is

     \(k  x  +  u  y  \le  N\)

=>    \(6  x  +  2  y  \le  100\)

Here x and  y are the number of classes    

Step-by-step explanation:

From the question we are told that

   The time required for each ITC class is  \(t_c  = 7.5 \ hours\)

   The profit of each ITC class is  \(P_c  =  \$ 720\)

   The time require for  CWP  class is  \(t_w  =  3 \  hours\)

    The profit for   CWP  class is  \(P_w  =  \$ 300\)

   The total time available  is \(t_a  =  56 \  hours / day\)

   the maximum number of trainee that can be accommodated in a daily basis is   \(N  =  100\)

   The class size limit for  ITC  is  \(k  =6\)

    The class size limit for CWP is  \(u  =12\)

Generally the aim of Hi-Tech is to maximize profit

So the objective function will be a function that maximizes profit

Generally the objective function is mathematically represented as

       \(M  =  P_c  *  a  + P_w  *  b\)

=>    \(M  = 720  a  + 300  b\)

Now the constraints to this functions are

     \(t_c  *  x  + t_w * y  \le t_a\)

=>  \( 7.5  x  + 3 y  \le 56\)

Another constraints to this function is

     \(k  x  +  u  y  \le  N\)

=>    \(6  x  +  2  y  \le  100\)

Here x and  y are the number of classes

The volume of the cylinder A = 1006.76 m³

The volume of the cylinder B = 2893.82 ft³

The volume of the cylinder C = 2712.96 in³

The volume of the cylinder D = 111.78 in³

The Volume of the cylinder = πr²h

Where r = radius , h = height

A) r = 15/2 = 7.5

h = 5.7

Volume = 3.14 × (7.5)² × 5.7

Volume = 1006.76

B) r = 8

height = 14.4

Volume = 3.14 × (8)² × 14.4

Volume = 2893.82

C) r = 6

h = 24

Volume = 3.14 × (6)² × 24

Volume = 2712.96

D) r = 2

h = 8.9

Volume = 3.14 × (2)² × 8.9

Volume = 111.78

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The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer:

900 + 20 + 4 + 0.2 + 0.05 = 924.25

Step-by-step explanation:

Answer:

800,049

Step-by-step explanation:

i hope this helps

Answer:

800,049

Step-by-step explanation:

It is the standard form of eight hundred thousand, forty nine

Answer:

a trigong i think

Step-by-step explanation:

Answer: B

Step-by-step explanation: I think thats right

Answer:

JKM is 123 degrees and the measure of arc KL is 56

Answer:

2 tickets because round

Step-by-step explanation:

make an equation: 100=40x+2 and solve

2.45 tickets so only two

40+40 =80

100-80=20

but 100-2=98 so there is only 18$ left so not enough for another ticket

Answer:

30 Tickets

Step-by-step explanation:

In the question, it said that $40 is the entrance fee. Then, it said that visitors purchase additional tickets for rides, games, and food. This means that EACH ticket is 2 dollars.

Hence, $40 (entrance fee) + $2 (each ticket price) x (the number of tickets spent) = 100 (total amount of money).

So, the equation should be 40 + 2x = 100, which means x = 30.

100 - 40 = 60

60/2 = 30

30 tickets can be purchased

When $428 doubles, it means that the

Step-by-step explanation:

11/2, -11, 22, -44, 88, -176

common ratio : 22/(-11) = -2