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Question 1
Amara spends $51.99 on pet supplies before tax. The sales-tax rate in her city is 8%. What is the total cost of
Amara's purchase?

Answer:

profits will increase so with that being said the supply of them dropped if demand increased getting bikes will be harder for competing business in the area and so therefore if you have 200 bikes and others have 50 bikes your gonna make way more profit and for the people with 50 bikes they will gain and lose profits because when they run out of bikes they have to buy more and they are more expensive because of the demand on them

Step-by-step explanation:

The explanation regarding the change of price that impact the profits should be explained below.

The profit should rise when the supply should fall. In the case when I have 200 bikes while the other should have 50 bikes so here I make more profit however the other people will gain but the profit should be lost since the bikes should be out of the stock and at the same time they need to buy more that should be more expensive due to the demand.

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Answer:

74x + 35y = c

Step-by-step explanation:

Each adult ticket costs $74 and Pablo is purchasing x amount of tickets, so 74 multiplied by x would be the total cost for the adult tickets. Each youth ticket costs $35 and Pablo is puchasing y amount of tickets, so 35 multiplied by y would be the total cost for youth tickets. Then you add the two sums together to find the total cost of all of the tickets.

Answer:

d. C = 74x + 35y

Step-by-step explanation:

I took the test and got the answer right here is the screen shoot  to prove it

Answer:

50.2 in.

Step-by-step explanation:

To find the circumference of a circle, multiply the radius by 2, or multiply the diameter by pi.

Here, only the radius is displayed.

8 ⋅ 2 = 16.

16 is the diameter.

Now we can multiply the diameter by pi to get the circumference.

16 ⋅ 3.14 = 50.24

50.24 rounded to the nearest tenth is 50.2

Again, the formula for circumference is diameter ⋅ π (pi).

Therefore, 50.2 in. is the circumference of this circle.

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

\(y = ab^{x} \)

\(y = 3 \times {4}^{x} \)

"a" is the initial amount (3), and "b" is the growth factor (4).

To find "b" plug in the knowns into the exponential function equation and solve.

\(y = ab^{x} \)

\(48 = 3 \times {b}^{2} \)

\(16 = {b}^{2} \)

\( \sqrt{16} = b\)

\(b = 4\)

Answer:

mean of data is 141.2

Step-by-step explanation:

mean of data = sum of data / no of data

=98 + 208 + 189 + 94 + 117 / 5

=706 / 5

=141.2

Answer:

Step-by-step explanation:

98 + 208 +189 +94 +1117 =709

706/5 = 141.2

Hope this helps!

Answer:

62

Step-by-step explanation:

I think it's 200. Srry if im wrong

Answer:

5*(2-76) = -370

Step-by-step explanation:

First, we have to identify what does "m and n" means. Then we do the equation "5*(2-76)", so first we do the equation inside the parenthesis 2-76=74, then we multiple it by 5 = 5 x 74 = -370.

Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

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Answer:

c=2.5652

Step-by-step explanation:

Given ,

1/4c+5/3c-4=2-1/12

or, c(1/4+5/3)=2-1/12+4

or,c(( 3+20)/12)=(24-1+36)/12

or,23/12c=59/12

or.23c=59

or,c=59/23

or,c=2.5652

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Is true.

wksnsksndksndks

The mass is defined as the quantity of matter that a body could have. It is different from the weight, because the weight is a force itself. Usually at the SI base unit, the mass is measured in kilograms, which is denoted by "kg".

Now, the density is defined as the quantity of mass per unit volume. So in math therms it tells you how many mass could you have in a defined unit volume, in other words

where m denotes the mass of the object and v the unit volume. So, for example, you could find that the density of the water is

then it is saying you that if you fill with water a cubic whose sides are each one of 1 meter, then it will have a mass of 997kg.

Remember that given the mass and the volume of an object to get its density, you only need to divide the mass by the unit volume.

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

21,120 feet

Step-by-step explanation:

1 yard is = 3 feet so you multiply 3 by 7,040

Which is 21,120

Answer: 21,120

Hope this helps!

Answer: the other three angles are 83° each

Step-by-step explanation:

The Total of all the angles of a pentagon is 540° Subtract the 150 and 141.

540- 291 = 249. Divide by 3

249/3 = 83

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer: 29, 31, 37, 41, 43, 47, 53.

Step-by-step explanation:

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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Answer:

\( \frac{3}{6} \)

Step-by-step explanation:

there are 6 options total so that will be your demoninator.

3 of those options are a multiple of 2

2, 4, 6 and those are 3 options that will be acting as your numerator.

Answer:

C

Step-by-step explanation:

The answer would be C because dilation ( unless by 1 ) doesn't preserve congruence so every other answer that isn't dilation would be right and C would be the answer because the factor is 2 not 1.  

Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

Answer:

221 remainder 1

Step-by-step explanation:

885/4 is equal 221.25

This means that the quotient is 221, and when multiplying 221 by four gets us 884. 885 - 884 has a remainder of 1

Answer:

Alternate interior

Step-by-step explanation:

They are inside making them interior angles and they are on opposite sides making them alternate angles as well.

Hope this helps!

Answer:

Step-by-step explanation:

alternate interior angles are congruent if and only lines are parallel.

∠4 ≅ ∠5

Let the amount Terrell made on Friday be represented with x .

325 - (55+55+75+75) = x

325 - 260 = x

or

x + 260 = 325 (option C is the correct answer)