A sports trainer has monthly costs of $80 for phone service and $40 for his website and advertising. In addition he pays a $15 fee to the gym for each session in which he works with a client.

Required:
a. Write a function representing the average cost
b. Find the number of sessions the trainer needs if he wants the average cost to drop below $16 per session.

Answer:

[tex]\bar x = 13.65[/tex]

Step-by-step explanation:

Given

See attachment for graph and table

Required

Point estimate of the mean

From the attachment, we have:

[tex]\mu = 13.65[/tex]

So, the point estimate of the mean (i.e. the sample mean) is:

[tex]\bar x =\mu[/tex]

[tex]\bar x = 13.65[/tex]

Answer:

1.4. The interest Tito should pay would be R10000 * 12% = R1200 for his first year.

1.1.5. The total amount Tito must pay back after 4 years would be R10000 * (1 + 12%)^4 = R10000 * 1.57351936 = R15735.2 (cor. to 1 d. p.).

1.1.6. People loan money from banks due to financial troubles or to attain startup resources for a company or business venture.

Step-by-step explanation:

Hope this helped!

Answer:

4800

Explanation:

interest=principle × rate × time/100

interest=10000 ×12 × 4/100

interest= 480000/100

interest=4800

amount=interest+principle

amount=4800+10000

amount=14800

people loan money from banks because they need money at a particular point in time where they do not have it

Answer:

60

Step-by-step explanation:

given:

l = 10

b = 5

h = 2

to find:

2h(l + b)

substitute the given values of l , b and h

=2*2(10 + 5)

=4*15

=60

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2h(l + b)}[/tex]

[tex]\large\text{If l = 10, b = 5, and h = 2, then substitute it into the equation!}[/tex]

[tex]\large\textsf{= 2(2)((10)+ 5)}[/tex]

[tex]\large\textsf{2(2) = \boxed{\bf 4}}[/tex]

[tex]\large\textsf{= 4(10 + 5)}[/tex]

[tex]\large\textsf{10 + 5 = \boxed{\bf 15}}[/tex]

[tex]\large\textsf{4(15)}[/tex]

[tex]\large\textsf{= \boxed{\bf 60}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \textst \bf 60}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]

Answer:

h≈2.65cm

r Radius

3

cm

V Volume

75

cm³

Using the formula

V=πr2h

Solving forh

h=V

πr2=75

π·32≈2.65258cm

hope it's help ful

Answer:

x=2.8

Step-by-step explanation:

If JKLMN and PQRST are similar then you can look the to other sides to find the ratio that relates the two. For this specific one you are able to fin 0.4 is the relationship.

NJ is related to TP by a factor of 1.4. -> NJ*1.4=TP -> 4*1.4=5.6

The rest can be said to relate all the other sides together.

Answer:

B.

C.

E.

F.

Step-by-step explanation:

A. no. any log(x) function is increasing. it says to what power I have to put the base to get x. and the bigger x, the bigger also that power number has to be. a log(x) increases much slower than x itself, but it increases.

B. any log(x) can only be calculated for positive x (and not 0).

C. of course. there are no gaps or breaks in a log(x) function. over time, with a growing x, we have to cover every possible y.

D. no. since (0,4) means x=0, this can't be true. as log(0) is power definition undefined (representing minus infinity).

E. yes. see A.

F. yes. for x=1 any log(x) function has to deliver 0 as functional value (to what power do I have to put my base to get 1 ? only base⁰ delivers 1. also 0.725⁰ = 1. therefore, (1,0) is a valid point on the graph.

Answer:

[tex](a)\ \bar x = 7.07[/tex]

[tex](b)\ \sigma^2 = 18.67[/tex]

[tex](c)\ \sigma = 4.32[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Rate (\%)} & {f} & {0-3} & {10} & {3-6} & {9} & {6-9} & {8} & {9-12} & {7} & {12-15} & {8} \ \end{array}[/tex]

Solving (a): The average vacancy rate

First, we calculate the class midpoint (x). This is the mean of the class boundaries.

[tex]x = \frac{0+3}{2} = 1.5[/tex]     [tex]x = \frac{3+6}{2} = 4.5[/tex]    [tex]x = \frac{6+9}{2} = 7.5[/tex]

When done for the whole class, the frequency table becomes:

[tex]\begin{array}{ccc}{Rate (\%)} & {f} & {x} & {0-3} & {10} &{1.5}& {3-6} & {9} &{4.5}& {6-9} & {8} & {7.5}&{9-12} & {7} &{10.5}& {12-15} & {8} &{13.5}\ \end{array}[/tex]

The average rate is:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{10*1.5 + 9*4.5+8*7.5+7*10.5+8*13.5}{10+9+8+7+8}[/tex]

[tex]\bar x = \frac{297}{42}[/tex]

[tex]\bar x = 7.07[/tex]

Solving (b): The variance

This is calculated as:

[tex]\sigma^2 = \frac{\sum f(x -\bar x)^2}{\sum f}[/tex]

[tex]\sigma^2 = \frac{10(1.5-7.07)^2 + 9(4.5-7.07)^2+8(7.5-7.07)^2+7(10.5-7.07)^2+8(13.5-7.07)^2}{10+9+8+7+8}[/tex]

[tex]\sigma^2 = \frac{784.2858}{42}[/tex]

[tex]\sigma^2 = 18.67[/tex]

Solving (c): The standard deviation.

This is calculated as:

[tex]\sigma = \sqrt{\sigma^2[/tex]

[tex]\sigma = \sqrt{18.67[/tex]

[tex]\sigma = 4.32[/tex]

Answer:

Answer = 3053.63

Step-by-step explanation:

The formula for finding the volume of a sphere is : V = 4/3 πr³

V = 4/3· π · [tex]9^{3}[/tex]

≈ 3053. 62806

Rounded to the hundreths place is 3053.63.

Answer:

x=12 mile/hour(the speed of the boat)

y=6 mile/hour(the speed of the current)

Step-by-step explanation:

According to the Question,

let, x be the speed of the boat in miles per hour and y be the speed of the current in miles per hour.

x+y=18 ---- Equation 1

x-y=6 ---- Equation 2

On Adding both above Equations We get,

2x=24  ⇔ x=12 mile/hour(the speed of the boat)

& x+y=18 put Value of x=12 we get  ⇔ y=6 mile/hour(the speed of the current)

Answer:

the answer is 1959

Step-by-step explanation:

2834-875=1959

Answer:

1 and 3 are the odd numbers that are less than 5. 0, 2 and 4 are the even numbers that are less than 5

Step-by-step explanation:

asking how many combinations are possible is answered by the following expression:

[tex]14 \times 12 \times 7 \times 6[/tex]

the first step alone offers 14 choices, the second step offers 12 choices. so with these two choices alone there can be 168 different scenarios to choose one from. we just need to keep multiplying for the number of choices we got at each decision to get the number of possible outcomes/configurations

that is

7056

6272 is the answer.

By the fundamental principle of counting, there are

8 * 8 * 7 * 14 = 6272 schedules possible

6272

In the above problem, we use the basic principle of counting to get the result. The principle of multiplication is that if event A can occur in different ways of x and another event B can occur in different ways of y, then there is an x ​​× y way in which both events occur at the same time. is showing. If

events occur in different ways in m, followed by other events in different ways in n, the total number of events in the specified order is m × n. The basic principle of multiplication.

counts helps you make your choice based on the available choices. ..

Learn more about  fundamental principle of counting here:https://brainly.com/question/10275154

#SPJ2

Answer:

Answer:

express the following equation as two statement each using the word varies and proportional i) v(rl=4/3

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

By using linear regression calculator,

Linear regression equation representing the data set will be,

y = 7.79x + 34.27

Correlation coefficient of the line will be,

R = 0.98

Since, correlation coefficient of the line is (+0.98), relation between the two variables is a strong linear relationship.

That means hours spent studying has the strong relation with test scores obtained.

The area of a circle is pi times the radius squared (A = π r²).

The value of constant of variation "k" is

Solution:

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1

Thus the value of constant of variation "k" is k = 8/5 or 1.6

I hope this is correct and helps!

Answer:

22x5 = 1

34x6 = 2

Step-by-step explanation:

This might be the answer

Answer:

2x^5

Step-by-step explanation:what equals 22 is 2,11

what equals 34 equals 2,17 and 1,34 are the factors of 34x^6

Answer:

276.75 miles

Step-by-step explanation:

12.3/3.2 × 72 = 276.75 miles

Answer:

x = 60°

Step-by-step explanation:

Special Angles :

sin = opposite divided by hypotenuse

opposite of angle 60° is square root of three

hypotenuse is two

Answer:

x=60+k.360 or x =120+k.360

Step-by-step explanation:

Answer:

25m²

Step-by-step explanation:

it might be helpful for you

Answer:

Answer:

5.363×10^8

Step-by-step explanation:

Answer:fafdafadfaf

Step-by-step explanation:

Answer:

4080 gm

Step-by-step explanation:

To bake one cake, it will take us 650 gm flour and 30 gm sugar. When we add both of them together, it gives 680 gm (650+30). But this is only for one cake. To find the total amount of flour and sugar needed to bake 6 cakes, we will have to multiply 680 by 6. That will give you 4080 gm which is your final answer.

Answer:

x= -0.182 and +4

hope it helps

have a nice day

Answer:

Alice: $75

Brian: $125

Step-by-step explanation:

3 + 5 = 8

200 ÷ 8 = 25

25 × 3 = 75

25 × 5 = 125

9514 1404 393

Answer:

  a, c

Step-by-step explanation:

There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.

The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.

In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).

The function is negative on intervals (a) and (c).

Answer:

Im sorry I can't understand you