20 points if you help!

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Nader can spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually, is $8715.82

Compound interest is the interest that is earned on the principal amount of a loan or investment, as well as the interest that is earned on the accumulated interest.

In this case, Nader wants to purchase a used car and can afford to pay $280 per month for three years. He has found the best interest rate he can get, 9.8%/a, compounded monthly. However, if the interest rate is compounded annually, the most he could spend on the vehicle will be different.

To calculate this, we need to use the formula for compound interest, which is

A = P(1 + r)ˣ,

where A is the total amount, P is the principal amount, r is the interest rate, and x is the time period.

When we apply the values on it, then we get,

=> A = $8702.85(1 + 9.8)³

=> A = $8715.82

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Answer:

x=11°

Step-by-step explanation:

We can see that the square is split into 4 triangles. We also have the midpoint T. Because Each angle of a square is 90 degrees and ∠PQR is divided in half, m∠PQT=45 degrees. By substitution, (4x+1)=45°

Solve:

(4x+1)=45°

4x=44°

x=11°

Answer:

Angle D

Step-by-step explanation:

The answer should be Angle D

Answer:

hey! the answer is angle D

Because in quadrilateral ECFD and WVUX

Step-by-step explanation:

ANGLE E = ANGLE W

ANGLE C = ANGLE V

ANGLE F = ANGLE U

AND,

ANGLE D = ANGLE X

The expression fails to compute the area of a triangle having base b and height h is (1.0 /2.0)*b*h.

Therefore the answer is A.

The correct expression to compute the area of a triangle having base b and height h is (1/2) * b * h, or equivalently, 0.5 * b * h.

Expression A is incorrect because it uses floating-point division, which may result in round-off errors or inaccuracies in the computation.

Expression B is the correct expression because it uses integer division and the division by 2 is clear.

Expression C is also correct because it uses floating-point division and the division by 2.0 is clear.

Therefore, both expressions B and C are correct, and expression D is a correct equivalent form of B and C.

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--The question is incomplete, answering to the question below--

"which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?

A. (1.0 /2.0)*b*h

B. (1 /2)*b*h

C. (b*h)/2.0

D. 0.5*b*h"

As per unitary method,

a) The length of the rope left after tying the parcel 260 cm

b) The initial length of the rope was 305cm.

The unitary method is a mathematical tool used to solve problems involving the partition of a whole into parts.

(a) To find the length of the rope left after tying the parcel, we subtract the length of the rope used to tie the parcel from the initial length of the rope. The length of the rope left is:

=> Initial length of the rope - Length of rope used to tie the parcel = Length of rope left

We are told that Ravi used 45cm of the rope to tie a parcel. Therefore, the length of rope left can be expressed as:

Initial length of the rope - 45 = Length of rope left

(b) To find the initial length of the rope, we add the length of the rope used to tie the parcel to the length of the rope left.

We know that the length of the rope left is divided into 4 pieces of 65cm each. Therefore, the total length of the rope left is

=> 4 x 65 = 260cm.

We can now use this information to find the initial length of the rope:

Length of rope left + Length of rope used to tie the parcel = Initial length of the rope

260 + 45 = 305cm

Complete Question:

Ravi had a rope. He used 45cm of the rope to tie a parcel. He then cut the remaining rope equally into 4 pieces. Each piece was 65cm long.

(a) Find the length of the rope left after tying the parcel.

(b) How long was the rope at first?

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It reads the second test. o Negative - assume that the person is not infected. o If positive, take a prior TB infection into consideration. Any asymptomatic person whose chest X-ray shows no signs of an active illness will be forwarded to the health department.

What brings about TB infection?

The bacteria Mycobacterium tuberculosis is the one that causes tuberculosis (TB).

                           When someone who has active TB disease in their lungs coughs or sneezes and the TB bacteria-containing droplets are ejected, the disease is disseminated when the other person inhales them.

What transpires if you have TB?

Feelings of sickness or weakness, weight loss, a high temperature, and nocturnal sweats are some of the common signs of TB disease.

                          Coughing, chest pain, and the coughing up of blood are other signs of TB lung disease. Depending on the location affected, TB illness symptoms may manifest in various body parts.

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Answer: Total price: $28.67

Step-by-step explanation:  From Courtney Summers, the author of Cracked Up To Be, comes a dark new tale of high school rivalry in which vicious rumors and nasty tricks are the currency that buys you popularity or seals your fate at the bottom of the food chain.

Answer:

0.4% increase although I don't know what a percentage point is sorry.

Step-by-step explanation:

Answer:

The increase in percentage points was 0.4

The increase in percent was 16%

Step-by-step explanation:

To find the increase in percent, divide the increase in percentage points by the initial unemployment rate and multiply by 100: (0.4 / 2.5) * 100 = 16%.

Answer:

Yes

Step-by-step explanation:

Since it literally says "there are 2 homeroom teachers assigned to every 48 students", this means that it is a ratio because 2 teachers: 48 students are proportional.

Answer:

? = 5cm

Step-by-step explanation:

We know the right side is 14 cm; that is the combination of the 9 cm and the length of the ?

So, to find the ? we take

14 - 9 = 5cm

So, the ? equal 5cm

A linear relationship can be expressed by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

This equation can be used to calculate the relationship between two variables, x and y. For example, if we have two sets of data points (x1, y1)…(xn, yn) we can calculate the slope m and the y-intercept b as follows:

m = (sum of (x_i - x_mean)*(y_i - y_mean))/(sum of (x_i - x_mean)^2)

b = y_mean - m*x_mean

Where x_mean and y_mean are the sample means of the x and y variables respectively.

Once we have calculated m and b, we can use the equation y = mx + b to describe the linear relationship between x and y. We can also use this equation to predict the value of y for a given x value. For example, if m = 2 and b = 0, then the equation becomes y = 2x and we can predict that when x = 1, y = 2.

In contrast, a nonlinear relationship is one which cannot be described by the equation y = mx + b, as the relationship between x and y is not linear. Instead, a nonlinear relationship is one in which the relationship between x and y is described by a more complex equation, such as y = ax^2 + bx + c.

To summarise, a linear relationship between two variables can be described by the equation y = mx + b, where m is the slope and b is the y-intercept, while a nonlinear relationship is one which cannot be described by this equation and is instead described by a more complex equation.

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Answer:

To find the

c

value

c

=

(

b

2

)

2

, divide the coefficient of

x

by

2

and square the result.

49

4

Add

49

4

to get the perfect square trinomial.

x

2

−

7

x

+

49

4

The population of the leopard in 5 years is 951

From the question, we have the following parameters that can be used in our computation:

Initial population, a = 1000

After one year = 990

This means that the rate r is

r = 990/1000

r = 0.99

The function is represented as

y = ar^x

So, we have

y = 1000(0.99)^x

In 5 years, we have

y = 1000(0.99)^5

y = 951

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Answer:

27 weeks

Step-by-step explanation:

first you would figure out how long one oz. of hair gel would last her. You would do this by dividing 21 by 14. 21/14 is 1.5. Next, if 1 oz. lasts 1.5 weeks, and there is a 18 oz bottle, then all you need to do is multiply 18 by 1.5. 18 times 1.5 is 27. Therefore, an 18 oz. bottle of hair gel would last Emily 27 weeks.

Answer:

bring -18x to 2x

2x-18x

then bring -4 to +4

2x-18x+4-4

Step 1: Calculate the total volume of helium needed for the archway.

The total volume of helium needed for the archway is 275 balloons x 1.2 liters/balloon = 330 liters.

Step 2: Calculate the mass of the helium needed for the archway.

The mass of the helium needed for the archway is 330 liters x 0.1785 grams/liter = 58.85 grams.

Step 3: Calculate the mass of the balloons and string.

The mass of the balloons and string is 275 balloons x 2.7 milligrams/balloon + 45 grams = 74.75 grams.

Step 4: Calculate the total mass of the archway.

The total mass of the archway is the sum of the mass of the helium and the mass of the balloons and string.

Therefore, the total mass of the archway is 58.85 grams + 74.75 grams = 133.6 grams.

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Answer: The area of right triangle ABC can be found using the formula (1/2)bh, where b is the length of the base and h is the height. Since the base of the triangle is 5 units and the area is 12.5 square units, the height must be 2.5 units.

Knowing that point C is on the line x = -2, we can use the height of 2.5 units to find the y-coordinate of point C.

Starting from the line y = 2, moving 2.5 units down will give us a y-coordinate of y = 2 - 2.5 = -0.5.

So, a possible y-coordinate of point C is -0.5.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

A = 1/2 (b)(h)

12.5 = 1/2 (5)(h)

Multiply both sides by 1/2 or 2 to cancel out the fraction

2 x 12.5 = 1/2 (5)(h) x 2

25 = 5h

Divide both sides by 5 to get h on its own

25/5 = 5h/5

h = 5

HOWEVER, 5 is not our answer because we started on y = 2.

So,

5 + 2 = 7

The probability that exactly one of Zoe's cupcakes had caramel inside after the cupcakes were randomly arranged and customers were allowed to choose their own cupcakes is 1/3266.

The probability that exactly one of Zoe's cupcakes had caramel inside can be calculated as follows:

P(exactly one cupcake with caramel) = (number of ways to choose one cupcake with caramel) / (total number of combinations of three cupcakes)

There are 6 cupcakes with caramel, so there are 6 ways to choose one cupcake with caramel.

Out of 150 cupcakes, there are 150 choose 3 = 19,600 ways to choose three cupcakes.

So, the probability that exactly one of Zoe's cupcakes had caramel inside is:

P(exactly one cupcake with caramel) = 6 / 19,600 = 1/3,266

Therefore, the probability that exactly one of Zoe's cupcakes had caramel inside is 1/3,266.

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Answer:

For a 10-day rental, d = 10 - 7 = 3 days.

Step-by-step explanation:

So, the total amount Mr. White has to pay is 260 + 70d = 260 + 70 * 3 = 260 + 210 = 470 dollars.

The solution is Option A.

The system of equations is 4x - 5y = -5 and 3x + 10y = -20

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

4x - 5y = -5   be equation (1)

3x + 10y = -20   be equation (2)

Now , the solution to the equations is ( -2.7 , -1.2 )

Substituting the values of x and y in the equation , we get

4 ( -2.7 ) - 5 ( -1.2 ) = -5

-10.8 + 6 = -5

-4.8 ≈ 5

And ,

3 ( -2.7 ) + 10 ( -1.2 ) = -20

-8.1 + ( -12 ) = -20

-8.1 - 12 = -20

-20.1 ≈ 20

Hence , the equations are 4x - 5y = -5 and 3x + 10y = -20

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The commission earned by the salesperson for selling a $25,000 car with an 18% commission rate can be calculated by multiplying the price of the car by the commission rate:

Commission = 0.18 * $25,000

Commission = $4,500

Therefore, the salesperson would earn a commission of $4,500 for selling the car.

There is no possible way that you can add a single bridge so that there is a path that uses each bridge once and only once.

Hence, the answer is no solution.

The seven bridges problem was seven bridges linking the various land masses of the town of Königsberg which straddles the Pregel River and that contained two islands.

The challenge was coming up with a route through the city that would only cross each of those bridges once. blatantly inappropriate. Euler demonstrated that the issue cannot be solved.

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The population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles.

The total area of the Nisos Isles is 24,900 square miles.

Here, 24,900/1.5

= 16600

Therefore, the population of Nisos be as large as Queen Irene has proclaimed that the islands can support is 16600.

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Step 1: Calculate the rate of change in the moose population.

The rate of change in the moose population can be calculated by subtracting the 1991 population (3270) from the 1997 population (4770) and dividing the result by the number of years (7).

Therefore, the rate of change in the moose population is (4770 - 3270) / 7 = 700 moose/year.

Step 2: Find the formula for the moose population in terms of the years since 1990.

The formula for the moose population in terms of the years since 1990 is P(t) = 3270 + 700t, where t is the number of years since 1990.

A population may grow as a result of certain changes. Animal populations that consume certain plants may grow if there are more plants present than typical in a region. If the population of one species rises, the population of animals that consume that animal may also rise.

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Answer:

= (3 + 11)/4

= 14/4

= 7/2 or 3[tex]\frac{1}{2}[/tex]

w ≤ 250

This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.

The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.

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Answer:

40

Step-by-step explanation:

84 runners to start a race

in the first half of the race 1/3 of them dropped out = 84/3 = 28 dropped out

so 56 left

in the second half of the race 2/7 of the remaining runners dropped out

2/7 *56 =16 dropped out

so 56-16 = 40 left

how many runners finish

40

Answer:

Step-by-step explanation:

The straight line is an angle of 180. If given an angle of 57 and 90, subtract from 180.

180 - 90 - 57 = 8q + 1

33 = 8q + 1

8q = 32

q = 4