Maria plans to purchase a new work truck. The dealer requires a 10% down payment on the $47,000 vehicle. Maria will finance the rest of the cost with a fixed-rate amortized auto loan at 3.5% annual interest with monthly payments over 5 years. Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas. (a) Find the required down payment. (b) Find the amount of the auto loan. (c) Find the monthly payment.

Answer: a= \(\sqrt{2}\)\(\frac{d}{2}\) = \(\sqrt{2.}\)\(\frac{15}{2}\) = about 10.61 cm

Step-by-step explanation:

given that the diagonal of square is 15cm . We need to find out the length of the side . Now see the attached image. From image it is clear that im in triangle ABC ,

a² + a² = (15cm)² [Pythagoras theorem]

2a² = 225cm²

a² = 225cm²/2

a = √{225cm²}/√2

a = 15/√2cm = 15/1.414 cm

a = 10.6 cm [ required answer]

and we are done!

-Rishabh

Answer:

D

Step-by-step explanation:

All you have to do is put it in desmos, hope this helped :)))

The graph of the equation is f ( x ) = x⁴ - x³ - 3x² + 3

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the equation of the graph be represented as A

Now , the value of A is

f ( x ) = x⁴ - x³ - 3x² + 3

There are no asymptotes for the function

And , the graph of the function is plotted below

Hence , the equation is f ( x ) = x⁴ - x³ - 3x² + 3

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Answer:

infinite solutions

Step-by-step explanation:

-3f + 3f = 0

0=0

This is always true so there are infinite solutions

Answer:

All Real Numbers (infinite Solutions)

Step-by-step explanation:

When you cancel out the -3f and the +3f you get \(0=0\) and since that is true you get all real numbers

Hope this helps

Answer:

14. 00 $

Step-by-step explanation:DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers

Answer:

$14.00

Step-by-step explanation:

DIVIDE –

3 ½ ÷ ¼

= 14

The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Using this formula

2021 preferred shareholders(per year)=Per dividend * Dividend rate

Let plug in the formula

2021 preferred shareholders(per year)=[(7,000*$100)*6%]

2021 preferred shareholders(per year)=($700,000*6%)*2

2021 preferred shareholders(per year)=42,000*2

2021 preferred shareholders(per year)=84,000

Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

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Answer:

I think it is yes.

Step-by-step explanation:

The corresponding height of similar rectangular prism m is 9 centimeter.

Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

The height of n is 18 cm.

Here, m³/n³ = 17/136

m³/18³ = 17/136

m³/18³ = 17/136

(m/18)³ = 1/8

(m/18)³ = (1/2)³

m/18 = 1/2

m=9 cm

Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.

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Answer:

1. 3.65%

2. 14,235

3. 49402.75

4. 185,795.04

5. 181,895.0375

Step-by- step explanation:

Answer:

The decay constant for plutonium-240 can be determined using the following equation:

λ = ln(2) / t₁/₂Where:λ = Decay constantt₁/₂ = Half-life of the substance given that the half-life of plutonium-240 is 6300, the decay constant can be calculated as follows:

λ = ln(2) / t₁/₂λ = ln(2) / 6300λ = 1.1 x 10^-4 per year

Therefore, the decay constant for plutonium-240 is 1.1 x 10^-4 per year.

Step-by-step explanation:

Answer: Hi! Read the explanation below:

Brainliest?

Step-by-step explanation:

Predict:

Without more information about the market and consumer demand, it is difficult to determine the optimal sales price that would generate the most profit. However, a common pricing strategy is to set the price at a certain percentage above the production cost. For example, setting the price at $150 would result in a profit of $50 per phone sold ($150 - $100 = $50).

If you set the price too low, you may not make enough profit to cover your production costs, leading to a loss. Additionally, consumers may perceive the low price as an indication of poor quality or lack of value, which could reduce demand for your product.

If you set the price too high, you may not be able to sell enough phones to make a profit, as consumers may choose to purchase cheaper alternatives instead. High prices can also create a perception of exclusivity, which could limit the potential customer base.

Calculate:

See the table below.

Price ($) Quantity Demanded (Q) Total Revenue (TR) Total Cost (TC) Profit (TR-TC)

100 20 2,000 2,000 0

120 18 2,160 1,800 360

140 16 2,240 1,600 640

160 14 2,240 1,400 840

180 12 2,160 1,200 960

200 10 2,000 1,000 1,000

Analyze:

Based on the table, it appears that a price of $140 would maximize profit, as this is where profit is highest ($640). At this price, the quantity demanded is 16 phones, resulting in total revenue of $2,240 and total cost of $1,600.

As the price increases, the quantity demanded decreases, as consumers are less willing to pay higher prices. This leads to lower total revenue and profit.

The x-intercept is when profit is equal to zero, or where TR = TC. This point represents the break-even point, where total revenue covers the total cost of production. In this case, the x-intercept is at a price of $150.

Quadratic Regression:

a) Using the provided calculator link, we obtain the following values:

a = 0.05

b = -10

c = 500

r2 = 0.9

b) The standard form of the equation that represents the data is:

f(x) = 0.05x2 - 10x + 500

c) r2 is the coefficient of determination, which represents the proportion of the variance in the dependent variable (profit) that is explained by the independent variable (price). An r2 value of 0.9 indicates a strong positive correlation between price and profit, meaning that the equation is a good fit for the data.

d) See graph below.

Graph of quadratic equation

Evaluate:

Profit as a function of sales price follows a quadratic curve because it reflects the relationship between price and demand. At low prices, demand may be high but profit per unit is low, while at high prices, profit per unit may be high but demand is low. The optimal price is the one that balances these

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The slope of the curve  y⁴ = y² - x² is 1 and repeat the process for the second point.

Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.

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The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

-4/5

Step-by-step explanation:

When you divide -4 from 5 you get -0.80

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

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As given by the question

There are given that the total investment money is $3000 and earns 4% annual interest.

Now,

x dollars in an account that earns 7% and that earns 5.5% interest for both accounts.

Then, for the equation

Assuming that the money is invested at simple interest for one year,

We have:

Hence, the correct option is B

Answer:

B- .0.055(3,000 + x) = 120 + 0.07x

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

when you solve a questions

Step-by-step explanation:

You get the answer when you solve a questions correctly

please mark brainlest i had never got brainlest

Answer:

by getting the information for  a text ot story

Step-by-step explanation:

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

Answer:

To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:

r = (a/2) * cot(π/n)

where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.

In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:

6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)

36 = 50 - 50cos(x)

cos(x) = (50 - 36)/50

cos(x) = 0.28

x = cos^-1(0.28) ≈ 73.7°

Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:

(5/2)^2 + h^2 = 5^2

25/4 + h^2 = 25

h^2 = 75/4

h = sqrt(75)/2 = (5/2)sqrt(3)

Now we can find the radius of the inscribed circle using the formula:

r = (a/2) * cot(π/n)

where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:

r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm

Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.

2.84 per month, 0.71 per week

Step-by-step explanation:

52/4 =13 months

36.95/15=2.84

31.95/52 = 0.71

Answer:

Step-by-step explanation:

(30*48)/100 = 14.40

48 - 14.40 = $ 33.60

48 + 33.60 = $ 81.60

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \(\dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}\)

Answer:

The minimum number of parallel faces that a prism should have is three pairs

Answer:

The minimum number of parallel faces that a prism should have is three faces

Answer: Yes

Step-by-step explanation:

Answer:

Yes

because it is positive

the effect of the second transformation just is:

(x - 3, y + 4) → (-3 + 4, y + 4)

Here we have a sequence of transformations, we start with a point (x, y) which we:

The second transformation is the first reflection, so we need to see what that reflection does.

First, the translation maps our point from (x, y) into (x - 3, y + 4).

Then, a reflection across the y-axis will only change the sign of the x-component of our point, so the effect of the second transformation just is:

(x - 3, y + 4) → (-3 + 4, y + 4)

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The probability of getting a Hybrid car = 3/14

The probability formula states that the ratio of favorable outcomes to all outcomes determines the likelihood that an event will occur.

The formula for the probability of an event is given by

P(E) = No of favorable outcomes/ total number of outcomes  

Here we have

The ratio of hybrid cars to gasoline-powered cars is 3:11

Let 3x and 11x be the number of hybrid cars and gasoline-powered cars
[ Since they are in 3: 11 ratio]  

Then total number of cars = 3x + 11x = 14x

From the given data,

Total number of cars = 280

=> 14x = 280

=>  x = 20

Number of Hybrid cars, 3x = 3(20) = 60

Here we select a car from a random experiment

Number of outcome = 280

Number of outcomes that we get Hybrid car = 60  

Thus the probability of getting a Hybrid car = \(\frac{60}{280}\)

= \(\frac{6}{28}\) =  \(\frac{3}{14}\)  

Therefore,

The probability of getting a Hybrid car = 3/14

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Complete question:

The ratio of hybrid cars to gasoline-powered cars in the parking lot of a local office building is 3:11. if there are 280 cars in the lot and one is to be selected at random to get the reserved parking space nearest the building, find the probability the car selected is a hybrid. express your answer as a fraction.