£72 in the ratio 5:4

The correct statement regarding which linear function has the lowest y-intercept is given by:

Tim’s with a y-intercept of $2,780

A linear function is modeled by:

y = mx + b

In which:

For Tim's account, we have that:

m = 225, y(8) = 4580, hence:

y = 225x + b.

4580 = 225(8) + b

b = 4580 - 225(8)

b = $2,780.

For Paul's account, the y-intercept is given by:

y = 1400 + 56(26) = $2,856.

Hence the correct statement is:

Tim’s with a y-intercept of $2,780

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Answer:

D. Tim’s with a y-intercept of $2,780

Step-by-step explanation:

I did the test and got it correct

trust me

A function assigns the values. The number of people that were recruited in year 6 is 192.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of people per year is represented by the function \(f(t)=3(2)^t\).

In the given function, t represents the number of years.

Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

\(f(t)=3(2)^t\)

f(6) = 3(2)⁶

     = 3(64)

     = 192

Hence, the number of people that were recruited in year 6 is 192.

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Answer:

The answer is t represents the year number; 192 people were recruited in year 6

Step-by-step explanation:

Area of rectangle is length times of width. Thomas is painting the wall at a warehouse blue. He painted in 6 hours of area 240 square feet.

Area of rectangle is length times of width.

Area=Length*width.

From the given figure the length is 12 ft and width is 5 ft in 1.5 hrs.

area he covered painting= 12ft*5ft

=60 square feet.

In 1 and half hour he painted 60 square feet.

Now for 6 hours we have to calculate.

4*(1 and half hrs)=6 hrs

So we have to multiply 4 with 60 to get the area in 6 hours.

4*60=240square feet.

Therefore 240 square feet area Thomas painted.

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Answer:

C. n x 2 = t

Step-by-step explanation:

All of the products are double the input

The price of vase next year is $2090.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

Given;

An antique vase costs $2000

Its price increases by 4.5%

Now,

Let the 4.5% of price be x

x*100/2000=4.5

x=20*4.5

x=90

Therefore, the price next year by 4.5 percent increase will be $2090.

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Answer:

Step-by-step explanation:

it equals 90

The area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

How is Area of circle is calculated ?

Area of circle is calculated using formula :

A = πr²

1) It is given that diameter of circle is 10 inches then the radius will be half of it that is :

d = 10 inches

r = 5 inches

Now calculating the area of circle using the above formula :

A = πr²

A = π(5)²

A = 25π in.²

2) It is given that radius of circle is 8 cm then calculating area using above formula :

A = πr²

A = π(8)²

A = 64π cm²

Therefore, the area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

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Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

The quotient of - 3.32 / - 2.2 is 8 ÷5.

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer:

the cost of one jacket is $27.14

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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Answer:

m=6

Step-by-step explanation:

We are given that an equation

\(9+12m=6+15(m-1)\)

We have to find the value of m for which prices are the same.

\(9+12m=6+15m-15\)

\(9-6+12m=15m-15\)

Using subtractive property of equality

\(3+12m+15=15m\)

Using addition property of equality

\(12m+18=15m\)

\(18=15m-12m\)

Using subtractive property of equality

\(18=3m\)

\(m=\frac{18}{3}=6\)

Using division property of equality

Answer:

THE SLOPE IS 1

Step-by-step explanation:

the slope of a line is always the x and x = 1. For example, y = 2x -9, 2 is the slope.

Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)

The domain refers to the set of possible input values.

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

The range is the set of possible output values, which are shown on the y-axis.

According to the graph ,

The horizontal extent of the graph is starting from -4 and ending on 1

Therefore , the domain of graph is (-4 , 1)

These points are not included in the domain , you can observe the end points of curves is not filled

The vertical extent of graph is starting from 4 and going downwards till -5

so, Range of graph is (4 , -5)

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The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

Angle 2 = 140

Angle 3 = 40

Angle 4 = 140

EXPLANATION:

So all of these angles are going to add up to 360 degrees. The angle on the opposite side is going to be equal

angle 2 = angle 4

angle 3 = angle 1

40+40= 80

360-80= 280

280/2= 140

Answer:

equation= 4x=x+22kg

Step-by-step explanation:

i hope it helped :))

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

Answer:

refer to the attachment

Answer:

9

Step-by-step explanation:

Answer:

x=500 hope that helps at all

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.

What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

We have to find the mean of the 8 colleges. So

\(M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975\)

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Answer:

Step-by-step explanation:

Additive identity is a property that involves the sum of two or more integers in an equation without compromising the equality of the equation.

Given the equation

(5+2)+n = 7+n

We can see that the right hand side of the equation is derived from the left hand had by addition of the values in parenthesis.

Given the right hand side;

= 5+2+n

= (5+2)+n

adding the expression in parenthesis will give;

= 7 + n

Since we added the expression in parenthesis to arrive at the expression at the right hand side, hence additive identity was used in the calculation.

Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

The number of jerseys they can purchase for $430 is 53 jerseys.

In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;

y = ax² + bx + c

Where:

Based on the information provided about the cost of the jerseys, we have the following quadratic function;

C = 0.1x² + 2.4x + 25

430 = 0.1x² + 2.4x + 25

0.1x² + 2.4x + 25 - 430 = 0

0.1x² + 2.4x - 405 = 0

By solving the quadratic function using the quadratic formula, we have:

\(x = \frac{-(-2.4)\; \pm \;\sqrt{(2.4)^2 - 4(0.1)(-405)}}{2(0.1)}\\\\\)

x = 52.76 ≈ 53 jerseys.

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1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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