Mason's annual income is $42,500. He receives an increase of 3.5% every year
Which Function would model Mason's yearly income?
If Mason's income were to increase by 2.5% every year instead of 3.5%, what would his annual income be after 5 years?
​

Answer:

The answer is A or D

Step-by-step explanation:

Answer:

£ 114

Step-by-step explanation:

From the question given above, the following data were obtained:

Price of TV = £ 1200

VAT = 20%

Amount paid = £ 300

Amount paid monthly =.?

Next, we shall determine the VAT. This can be obtained as follow:

VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

VAT = £ 240

Total cost of TV =?

Total cost = Price + VAT

Total cost = 1200 + 240

Total cost = £ 1440

Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

Total cost = £ 1440

Amount paid = £ 300

Balance amount =?

Balance = Total cost – Amount paid

Balance = 1440 – 300

Balance = £ 1140

Finally, we shall determine the amount Harry will pay month.

Balance Amount = £ 1140

Number of months = 10

Amount paid monthly =.?

Amount paid monthly = Balance / number of month

Amount paid monthly = 1140 / 10

Amount paid monthly = £ 114

Therefore, Harry will pay £ 114 monthly.

Answer:

P(8) = 1/9

Step-by-step explanation:

There are 9 balls, 1,2,3,4,5,6,7,8,9

We want to get ball 8

P(8) = number of balls marked 8/ total number of balls

       = 1/9

Answer:

P = 1/9

Step-by-step explanation:

Probability of selecting the ball marked with 8

\(\sf Probability = \dfrac{Number\: of \:favorable\: outcomes }{ Total \:number\: of\: possible\: outcomes}\\\\\sf Probability = \dfrac{1 }{9}\)

Answer:

The geometric mean of the measures of the line segments AD and DC is  60/13

Step-by-step explanation:

Geometric mean: BD² = AD×DC

BD = √(AD×DC)

hypotenuse/leg = leg/part

ΔADB: AC/12 = 12/AD

AC×AD = 12×12 = 144

AD = 144/AC

ΔBDC: AC/5 = 5/DC

AC×DC = 5×5 = 25

DC = 25/AC

BD = √[(144/AC)(25/AC)]

BD = (12×5)/AC

BD= 60/AC

Apply Pythagoras theorem in ΔABC

AC² = 12² + 5²

AC² = 144+ 25 = 169

AC = √169 = 13

BD = 60/13

The geometric mean of the measures of the line segments AD and DC is BD = 60/13

Answer:

option D

Step-by-step explanation:

Exterior angle = sum of interior

               105 = 50 + x

               105 - 50 = x

                      55° = x

Answer:

10.78% probability this student's score will be at least 2200

Step-by-step explanation:

Normal distribution:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Conditional probability:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

\(\mu = 1500, \sigma = 300\)

We pick a recognized student. What is the probability this student's score will be at least 2200

Event A: Recognized(scored at least 1900).

Event B: At least 1900.

Probability of scoring at least 1900.

1 subtracted by the pvalue of Z when X = 1900. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1900 - 1500}{300}\)

\(Z = 1.33\)

\(Z = 1.33\) has a pvalue of 0.9082.

1 - 0.9082 = 0.0918.

So P(A) = 0.0918

Intersection:

The intersection between at least 1900 and at least 2200 is at least 2200.

Probability:

1 subtracted by the pvalue of Z when X = 2200. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2200 - 1500}{300}\)

\(Z = 2.33\)

\(Z = 2.33\) has a pvalue of 0.9901.

So \(P(A \cap B) = 1 - 0.9901 = 0.0099\)

Then

\(P(B|A) = \frac{0.0099}{0.0918} = 0.1078\)

10.78% probability this student's score will be at least 2200

Answer:

How many apples does Jim have left?

11

How many apples does Ben gain?

18

How many does Ben have in total?

23

Step-by-step explanation:

26 - 15 = 11

15 + 3 =  18 + 5 = 23

Answer: 26.3 mm

Step-by-step explanation:

According to the two-standard deviations rule for outliers, the values that does not lie within 2 standard deviations from mean are outliers.

If Mean = 23.5 millimeters (mm) and standard deviation =  1.4 mm

Then, greatest thickness need to check = mean + 2 (standard deviation)

= 23.5 + 2(1.4)

= 23.5 + 2.8

= 26.3 mm

hence, the greatest thickness that would require the statistician to check the configuration of the machine = 26.3 mm.

Answer:

Bailey: 16%

Coco: 28%

Ginger: 32%

Ruby: 24%

I hope this helps!

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

The linear equation can be written as:

y = (3/2)*x - 21/5

A general linear equation can be written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

First, we know that our line has the same slope than:

3x - 2y = 12

Rewriting that we will get:

3x - 2y = 12

3x - 12 = 2y

(3/2)x - 12/2 = y

So the slope of this line is (3/2).

And our lie has the same y-intercept as 5y + 21 = 4x

We can rewrite that to get:

5y = 4x - 21

y = (4/5)x - 21/5

The y-intercept is -21/5

Then the linear equation is:

y = (3/2)*x - 21/5

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Answer:

5.8 because of my heart rite

Answer:

the process of translating words or text from one language into another.

In Geometry, a translation is a transformation that moves all the points of a figure by the same distance in a given direction.

Let's say you want to translate a triangle by 3 units to the left. You would basically move the entire triangle 3 units to the left without changing the shape.

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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Answer:

111.35

Step-by-step explanation:

effective rate: .085/12= .007083333333333333

payment=x

\(3000=x(\frac{1-(1+.007083333333333333)^{-30}}{.007083333333333333})\\x=111.35\)

Step-by-step explanation:

111.35

Step-by-step explanation:

effective rate: .085/12= .007083333333333333

payment=x

\begin{gathered}3000=x(\frac{1-(1+.007083333333333333)^{-30}}{.007083333333333333})\\x=111.35\end{gathered}

3000=x(

.007083333333333333

1−(1+.007083333333333333)

−30

)

x=111.35

Rested numbers in group is 33 out of 76.

A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.

Total numbers in a group = 76.

44% of them were rested.

That is 44% of 76.

To find how many are rested we have to find the value in numbers.

Convert 44% of 76 to numbers.

For this, it can be written as

\(\frac{44}{100} *76\) = 33.44

Therefore 44% of 76  ≅ 33 numbers.(approximately)

Hence, rested numbers in group is 33.

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The inverse of rational function f(x) = (x + 2) / (3 · x - 4) is the rational function g(x) = (4 · x + 2) / (3 · x - 1).

In this question we find a rational function, that is, a function of the form:

R(x) = P(x) / Q(x)

Where:

We must clear x in terms of R(x) to get the inverse of this function. First, write the function using the following substitutions:

x → g(x)

f(x) → x

x = [g(x) + 2] / [3 · g(x) - 4]

Second, clear g(x) by algebra properties:

x · [3 · g(x) - 4] = g(x) + 2

3 · x · g(x) - 4 · x = g(x) + 2

(3 · x - 1) · g(x) = 4 · x + 2

g(x) = (4 · x + 2) / (3 · x - 1)

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Answer:

24000

Step-by-step explanation:

because 24000 * 10 =240000

The cost:$120

Discount:15%

15/100*120

=$18

So you will have to pay( exclusive of taxes): 120-18

=$102

Answer:102

Step-by-step explanation:

I got it right

it was originally "x" or that is 100%.  We also know that she found it for 51 bucks, and that those 51 bucks are 100% - 92% = 8% of the original price, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 51&8 \end{array}\implies \cfrac{x}{51}=\cfrac{100}{8}\implies \cfrac{x}{51}=\cfrac{25}{2} \\\\\\ 2x=1275\implies x=\cfrac{1275}{2}\implies x=637.5\)

Answer:

4) 34.1 ft²

6) 9.9 ft²

Step-by-step explanation:

The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.

--------------------------

4) A = 1/2 × 11 × 6.2

5.5 × 6.2 = 34.1 ft²

--------------------------

6) A = 1/2 × 6 × 3.3

3 × 3.3 = 9.9 ft²

hope this helps!

Answer:

c

Step-by-step explanation:

its too ez

Answer:

232.96$

Step-by-step explanation:

By symmetry, we can draw the following picture:

arc ST =60 degrees and arc QR=60 degrees. We know that

and by symmetry, arc SQ is equal to arc RT. By substituting this result and the previous one, we get

which gives

By moving 120 to the right hand side, we get

then, arcRT is equal to 120 degrees

The raw score x, corresponding to z = 2 is calculated as; 90

We are given;

Population Mean; μ = 78

Sample mean; x' = ?

Population standard deviation; σ = 6

z-score; z = 2

The formula for z-score is;

z = (x' - μ)/σ

Thus, making x' the sample mean the subject of the formula gives;

x' = zσ + μ

Plugging in the relevant values gives;

x' = (2 * 6) + 78

x' = 12 + 78

x' = 90

Thus, the raw score x, corresponding to z = 2 is 90

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro