In 1998 the population of a city was 100,000. Then each year for the next five years the population increases by 3%. Write and exponential growth model to represent this situation.

2. Which is a disadvantage of purchasing and owning a home?

A. An individual assumes all responsibility for maintenance and repair of owned property.

3. How much cash did the borrower pay upfront?

D.$95,505.36   (500 + 94400 + 605.36)

4. What amount goes in line 8?

B.$121,491.04    (95505.36 + 25985.68)

The main disadvantage of home-ownership is that the individual is responsible for all maintenance and repair costs. As for the borrower's upfront payment and the amount in line 8 on the Final Settlement Statement, these would be specified in the settlement statement and cannot be precisely determined without such information.

2. The main disadvantage of purchasing and owning a home is: A. An individual assumes all responsibility for maintenance and repair of owned property. This can be expensive and time-consuming, especially if the property is older or requires frequent repairs.

3 & 4. Without the table showing the Final Settlement Statement for the purchase of a home, it would be impossible to indicate precise answers to questions 3 and 4 related to upfront cash paid by the borrower, and the amount going in line 8. These values are calculated based on several variables, which should be tabulated clearly in the Final Settlement Statement.

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The term that changes the size of a figure is called Dilation

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A description of a dilation includes the scale factor and the center of the dilation. A dilation stretches or shrinks the original figure. Remember that to dilate something in the coordinate plane, multiply each coordinate by the scale factor

The term for a transformation that changes the size of a figure is dilation. Dilation involves stretching or shrinking a figure while maintaining its shape, using a scale factor greater than 1 for enlargement or between 0 and 1 for reduction.

The term for a transformation that changes the size of a figure is dilation.

Dilation is a geometric transformation that alters the size of a figure while keeping its shape intact. It involves stretching or shrinking the figure by a scale factor, which can either be greater than 1 (resulting in an enlargement) or between 0 and 1 (resulting in a reduction). In a dilation, all points of the original figure move away from or toward a fixed center called the "center of dilation," and their distances from the center are multiplied by the scale factor.

In contrast, other transformations have different effects:

Rotation involves turning a figure about a fixed point.

Reflection flips a figure over a line, creating a mirror image.

Translation shifts a figure in a specific direction without altering its size or shape.

So, the transformation that changes the size of a figure is dilation.

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the answer is :

y = -5/2x + 3/2

Answer:

Choice b is correct.y = -5/2x+3/2 is the slope intercept form of given equation.

Step-by-step explanation:

We have given the equation:

5x + 2y = 3

We have to write the equation in slope intercept form.

The general  slope intercept form of equation is :

y = mx+c

Where m = slope and c is the y-intercept.

We have given the expression:

5x + 2y = 3

2y = 3-5x

y = (3-5x)/2

y = 3/2-5/2x

y = -5/2x+3/2

y = -5/2x+3/2 is the slope intercept form of given equation.

Where m = -5/2 and y-intercept = 3/2

Answer:

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]S.A.=6a^2[/tex]

a - edge

We have S.A. = 54 in². Substitute:

[tex]6a^2=54[/tex]        divide both sides by 6

[tex]a^2=9\to a=\sqrt9\\\\a=3\ in[/tex]

The formula of a volume of a cube:

[tex]V=a^3[/tex]

Substitute:

[tex]V=3^3=27\ in^3[/tex]

Answer:

The function is

g(x) = 5^(-x)

This question can be easily solved by using a graphing calculator

and plotting the graph of g(x)

In the image below, we can see that for each value of x , there is a corresponding value for g(x)

This means that the function does not have any discontinuities. Therefore,

The domain of g(x) is all real numbers  (x ∈ R)

The range is related to the values that can be achieved by g(x),

Since it is a positive exponential function, all values will be g(x)>0

And the range would be (0,∞)

The domain of g(x) = 5-x is all real numbers because any real number can be an input, but the range is not all real numbers since the output is limited to values equal to or less than 5.

The function g(x) = 5-x has a domain of all real numbers because you can plug in any real number for x and it will result in a valid output. In contrast, the range of g is not all real numbers because the function g(x) can only produce certain values based on the operations involved. For instance, if x is a real number, the expression 5-x will always result in values less than or equal to 5, since you are subtracting a real number from 5. Thus, the output will never be greater than 5, so the range is all real numbers less than or equal to 5.

Answer:

29/50

Step-by-step explanation:

58/100 simplified is 29/50

Answer:

Step-by-step explanation:

3x + 4y = 8

4y = 8 - 3x

y = 2 - (3/4)x

So the slope of the given line is -(3/4).

Final answer:

The slope of the line represented by the equation 3x + 4y = 8 is -3/4. We found this by rearranging the equation into slope-intercept form, y = mx + b, and identifying the coefficient of x as the slope.

Explanation:

To find the slope of the line represented by the equation 3x + 4y = 8, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope of the line, and b represents the y-intercept. Let's solve for y:

The slope-intercept form of the line is y = (-3/4)x + 2, so the slope is -3/4. This means for every increase of 1 on the horizontal axis (x), there is a decrease of 3/4 on the vertical axis (y).

Answer: The answer is B - 95.

Answer: A. [tex]=105^{\circ}[/tex]

Step-by-step explanation:

Given: Circle with center O , having two congruent arcs as :-

[tex]\overarc{WX}\cong\overarc{YZ}\\\\\angle{XOW}=105^{\circ}[/tex]

We know that " If two arcs of a circle are congruent then their corresponding central angles are congruent".

[tex]\angle{XOW}\cong\angle{YOZ}\\\\\Rightarrow\ \angle{YOZ}=105^{\circ}[/tex]

Hence, the measure of [tex]\angle{YOZ}=105^{\circ}[/tex].

Answer:

That would be 24%.

Answer:

please mark me brainiliest

y/x-5

Step-by-step explanation:

Answer: y ÷ x -5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

"y" is a variable that is divided by the quantity "x" (also a variable) minus 5 (subtraction).

Mathematically speaking:

y ÷ x -5

In conclusion, the expression is y ÷ x -5

Feel free to ask for more if needed or if you did not understand something.

Answer:

6^2 + 8^2 = c^2

36+ 64 = c^2

100 = c^2 | sqrt

10 = C

Let's Find Angles :

sin BCA = 6/10 = 0.6 => 37 degree

90 degree + 37 degree = 127 degree

Angle BAC = 180 degree - 127 degree = 53 degree

The side AC is 10

See the image attached

Answer: 105

Step-by-step explanation:

6 hours

7 x 6 = 42

15 hours

7 x 15 = 105

Answer:

105

Step-by-step explanation:

If she works 7 days a week than you get 7 x 15 witch = 105

The equivalent system to given equations is: 2x - y = 3 and x + 2y = 5. We assess this by finding the solution of the given system (x = 4, y =1) and verifying these values in all given options.

The given system is: x - y = 3 and x + y = 5. To find an equivalent system, we need to find a system that has the same solution as the given one.

If we add these two equations, we have 2x = 8, so x = 4. If x = 4, we can put x = 4 into the second equation 4 + y = 5, hence y = 1.

Now we test these solutions in the given options. After testing, we find that the equivalent system is: 2x - y = 3 and x + 2y = 5.

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Answer:

e = 56

Step-by-step explanation:

Use cross multiplication.

28 * 14 = 7e

Simplify

392 = 7e

Divide each side by 7

e = 56.

Answer:

cross muiltiply the euqation

28 * 14 = 7e

e= 56

give thanks :D

Diving means it is moving down so it would be a negative value.

You would need to multiply the rate by the number of seconds it dives, so you would have -9x for that part.

The dolphin started at 10 feet below sea level which would be written as -10.

To find the elevation you would need to add both parts together, which would give you:

y = -9x -10

The answer is B.

Answer:

the answer is b :)

Step-by-step explanation:

Step-by-step explanation:

The formula for percent change is

change/original.

So let's subtract 17 from 55 to find the change. 55-17=38

This is the change. Now we divide it by the original, 17.

38/17=2.235294

We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is

about 223.53 percent

Answer:

-4 and -3

Step-by-step explanation:

-4 + -3 = -7

-4 * -3 = 12

Negative times negative equals a positive.

Answer:

-3 and -4

Step-by-step explanation:

Two numbers have a product of 12 but their sum is -7

Answers are -3 and -4

Double check:

(-3) x (-4) = 12

and

(-3) + (-4) = -7

Answer:

= 624.26 m²

Step-by-step explanation:

The area of a circle is given by the formula;

A = πr² ; where r is the radius

Radius = 1/2 diameter

   = 3.14 × 14.1 ×14.1

   = 624.26 m²

Final answer:

To estimate the area of a circle with a diameter of 28.2m, calculate the radius (14.1m), then use the formula A = πr² with pi as 3.14 to get an area of approximately 624.33 m² after rounding to the nearest hundredth.

Explanation:

To estimate the area of a circle with a given diameter of 28.2m, we first need to calculate the radius, which would be half of the diameter. Thus, the radius (r) is 28.2m / 2 = 14.1m.

Next, we use the formula for the area of a circle, which is A = πr². Plugging in the numbers, we get A = (3.14)×(14.1m)².

Carrying out the multiplication, we have A = 3.14 × 198.81m² = 624.3254m². We round this result to the nearest hundredth to get 624.33 m² as the estimated area of the circle using 3.14 for pi.

Answer:

11 books

Step-by-step explanation:

because if she gets $4 per book and gets $44 in total then that means she has read 11 books because 4 times 11 is 44.

i believe its 20 times larger

Answer:

1/4

Step-by-step explanation:

2/8 = 1/4

Answer:

D. 13000 is the correct option out of the choices!

The total earnings of the 5 weeks will be 13,000.

A process of combining two or more numbers is called addition.

We have to given that;

The average earning of a shop for first three weeks of a month are 2750 per week.

And, The earnings of next 2 weeks are 4750 rupees.

Now,

Since, The average earning of a shop for first three weeks of a month are 2750 per week.

Hence, The total earnings in first three weeks = 3 × 2750

                                                                       = 8,250

And, The earnings of next 2 weeks are 4750 rupees.

Hence, The total earnings = 8250 + 4750

                                        = 13,000

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Explanation:

The variable b is the placeholder for the original price, aka price before discount.

We discount by 25% meaning we don't pay that 25% but instead pay the remaining 75%

Therefore the expression 0.75*b represents the final price after the discount. We're told this price is $1.50 so that is how I'm getting the answer to be 1.50 = 0.75b

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

Extra info:

To solve this equation for b, you would divide both sides by 0.75 to undo the multiplication that is happening.

1.50 = 0.75b

1.50/0.75 = 0.75b/0.75 .... dividing both sides by 0.75

2.00 = b

b = 2.00

So the original price before discount was $2.00; note how 25% of this is 0.25*2.00 = 0.50 which is the amount we save and the amount we have left is 2.00 - 0.50 = 1.50 which is the proper price after discount we want.

Answer:

vertex, (4, –2); y-intercept, –6

Step-by-step explanation:

The equation is written in vertex form [tex]y = a(x-h)^2 + k[/tex] where the vertex is (h,k).

The vertex here is (4, -2). This means the solution is vertex, (4, –2); y-intercept, –6.

Answer:

vertex, (4, –2); y-intercept, –6.

Step-by-step explanation:

[tex]y=-0.25(x-4)^{2}-2[/tex]

[tex]y=-0.25(x^{2}-8x+16)-2[/tex]

[tex]y=-0.25x^{2}+2x-4-2[/tex]

[tex]y=-0.25x^{2}+2x-6[/tex]

the vertex is [tex](\frac{-b}{2a},y(\frac{-b}{2a}) )[/tex] where a=-0.25 and b=2. So,

[tex]\frac{-b}{2a}= \frac{-2}{-0.5}=4[/tex]

[tex]y(\frac{-b}{2a})=-0.25(4)^{2}+2(4)-6= -4+8-6=-2 [/tex]

Then, the vertex is (4,-2) and the intercept is y(0)= -0.25(0)+2(0)-6 = -6. So, the answer is the third option.

Answer:

22

Step-by-step explanation:

Divide the area (in square units) by Pi (approximately 3.14159).

Example: 380.13/3.14 = 121.06

Then square the answer.

121.06 squared = 11.0

That answer is the radius, double that to get the diameter.

11.0 * 2 = 22

Final answer:

To calculate the diameter of a circle with an area of 380.13 m², solve for the radius using the formula r = √(A/π) and then double that value to find the diameter, resulting in a diameter of approximately 22.00 meters.

Explanation:

To find the diameter of a circle with a given area, we start with the formula for the area of a circle, which is A = πr², where A is the area, π (Pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. Given the area A = 380.13 m², we can solve for the radius r by rearranging the area formula to r = √(A/π) and then calculating the diameter D by doubling the radius (D = 2r).

Step 1: Calculate the radius.
r = √(A/π) = √(380.13 m² / 3.14159) ≈ 11.00m

Step 2: Calculate the diameter.
D = 2r = 2 × 11.00m = 22.00m

Answer:

y = 3x - 1

Step-by-step explanation

We manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.

The excel output is attached below.

The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.

1/5x5=1,65+1+6=72, and 72÷9=8. The answers 8.

Answer:

[tex]\large\boxed{(f-g)(x)=3x^2+6}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6[/tex]

C is the correct answer

1 and 2 are adjacent angles. (C)

Multiply the number of cupcakes each by the number of people:

1 1/2 x 4 = 6 total cupcakes.