Steve borrows $20,000 for a car at an annual interest rate of 8.5% for 5 years. What is the balance of his loan?

After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.

The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.

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The Principle of Mathematical Induction can be used to prove that for all positive integers n, ∑i=1n(3i−2)=2n(3n−1).

The base case is n = 1. In this case, the sum is (3 * 1 - 2) = 1, and 2 * 1 * (3 * 1 - 1) = 1. Therefore, the sum is equal to 2n(3n - 1) for n = 1. The inductive step is as follows. Assume that the sum is equal to 2n(3n - 1) for some positive integer k. Then, the sum for k + 1 is

∑i=1k+1(3i−2)=(3(k+1)−2)+∑i=1k(3i−2)=2(k+1)(3(k+1)−1)

The first term on the right-hand side is equal to 2(k + 1) - 2 = 2k, and the second term on the right-hand side is equal to 2k(3k - 1). Therefore, the sum for k + 1 is also equal to 2n(3n - 1).

Since the base case is true and the inductive step is true, the Principle of Mathematical Induction can be used to conclude that the sum is equal to 2n(3n - 1) for all positive integers n.

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Answer:

6

Step-by-step explanation:

6 x 6 =36

6 x 7 = 42

6 x 8 = 48

Answer:

True

Step-by-step explanation:

integers like 5 or 4 can be put over one to be a fraction.

For example: 5/1 or 4/1

Answer:true

Step-by-step explanation:

they can

eg 1/1, 7/1

Answer:

50% is 1/2 as a fraction

Step-by-step explanation:

50% = 50/100 = 1/2

Answer:

1/2

Step-by-step explanation:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 50% can be written as: 1/2

The value of x from given quadrilateral ABCD is 27°.

In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.

We know that, the sum of interior angles of quadrilateral is 360°.

Here, ∠A+∠B+∠C+∠D=360°

3x+5+2x+15+4x+4x-10=360°

13x+10=360°

13x=350°

x=350/13

x=26.9

x≈27°

Therefore, the value of x from given quadrilateral ABCD is 27°.

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

-224t

This is all you had to do and hear is the annswer

To find the mean of a sample, we sum up all the individual values and divide by the total number of values. In this case, we have three respondents with ratings of 2, 2, and 5.

Mean = (2 + 2 + 5) / 3 = 9 / 3 = 3

The mean of this sample is 3, which represents the average rating given by the respondents. It indicates that, on average, the respondents rated the new shampoo as a 3 on a scale of 1 to 10. Therefore, the correct option is (a) 3. The mean provides a measure of central tendency and helps to understand the overall rating of the shampoo based on the responses received.

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Answer:

2.67 minutes per page

Step-by-step

this question was already on brainly ,,,,,,,,,,,,,,,,,,,,,,,

Answer:

2.33

Step-by-step explanation:

All you have to do is divide 14 and 6 and you will get 2.33

Answer:

30 grams is the answer

As per the given data, the interquartile range of the kittens' weights is 60 g.

The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles.

The IQR is the range between the first quartile (Q1) and the third quartile (Q3). It represents the range of the middle 50% of the data set.

To find the interquartile range (IQR) of the kittens' weights, we need to first find the median and the quartiles.

Find the median (Q2):

The median is the middle value when the data is arranged in order. In this case, we have an even number of data points, so we take the average of the two middle values:

100, 120, 140, 160, 180, 200

The middle values are 140 and 160, so the median is:

(Q2) = (140 + 160) / 2 = 150

Find the first quartile (Q1):

The first quartile is the middle value of the lower half of the data. To find Q1, we take the median of the lower half:

100, 120, 140

The median is 120, so Q1 is:

Q1 = 120

Find the third quartile (Q3):

The third quartile is the middle value of the upper half of the data. To find Q3, we take the median of the upper half:

160, 180, 200

The median is 180, so Q3 is:

Q3 = 180

Calculate the interquartile range:

The interquartile range is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 180 - 120 = 60

Therefore, the interquartile range of the kittens' weights is 60 g.

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Answer:

Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.

Step-by-step explanation:

The given inequality is 3b + 8 ≥ 14

We need to solve the given inequality

Step 1.

Subtract 8 to the both sides of the inequality

3b + 8 - 8 ≥ 14 -8

3b ≥ 6

Dividing both sides by 3

b ≥ 2

The value of b is greater than and equal to 2.

Hence, the correct option is (a).  

The complete equation is 3 lb/sec ≈ 4897.0806 kg/h.

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

3 Ib/sec ≈ ? kg/h

To convert pounds per second (lb/sec) to kilograms per hour (kg/h), we can use the conversion factor: 1 lb = 0.45359237 kg.

So, 3 lb/sec = 3 * 0.45359237 kg/sec = 1.361 kg/sec

To convert from per second to per hour, we multiply by the number of seconds per hour:

1.3607771 kg/sec * 3600 sec/hour = 4897.0806 kg/h

Therefore, 3 lb/sec ≈ 4897.0806 kg/h.

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Answer:

The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A

Step-by-step explanation:

Let us solve the question

From the given graph

∵ The arrow starts from 1 and pointed to the left (negative part)

∵ The starting point of the arrow is bold

∴ The sign of the inequality is ≤ (smaller than or equal)

→ That means the solution of the inequality is all the numbers ≤ 1

∴ The solution of the inequality is n ≤ 1

→ Look at the choices and find which one has the sign ≤ and check if

  it will give the same solution or not

∵ The inequality is 2n + 5 ≤ 7

→ Subtract 5 from both sides

∴ 2n + 5 - 5 ≤ 7 - 5

∴ 2n ≤ 2

→ Divide both sides by 2

∴ n ≤ 1

∵ The inequality gives the same solution of the given graph

∴ The inequality matches the graph is 2n + 5 ≤ 7

Answer:

Step-by-step explanation:

Answer:

Your answer is: 7x-38/15

Step-by-step explanation:

Hope this helped : )

You are approximately 161.5566 feet away from the base of the tree.

To determine the distance from the base of the tree, we can use trigonometry and the concept of tangent.

Let's denote the distance from the base of the tree as "x."

We have a right triangle formed by the tree, the distance from the base, and the angle of elevation. The opposite side of the triangle is the height of the tree, which is 280 feet, and the adjacent side is the distance from the base, denoted as "x."

Using the tangent function, we have:

tan(60°) = opposite/adjacent

tan(60°) = 280/x

To solve for x, we can rearrange the equation:

x = 280 / tan(60°)

Using a calculator, we can evaluate the expression:

x ≈ 280 / 1.7321 ≈ 161.5566

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Answer:

392

Step-by-step explanation:

Answer:

Final answer:  x=0 m:3 and x=-6 m:2

Step-by-step explanation:

1. 4x³(x²+12x+36)- Divide by greatest common factor, to simplify.

2. 4x³(x+6)(x+6)- Factored

3. 4x³ = 0   Set each factor equal to zero

4. x+6=0       x+6=0

So, x= -6, two times, mulitiplicity 2

So, 4x³=0, so x=0 three times, mulitiplicity 3

Final answer:  x=0 m:3 and x=-6 m:2

Answer:

Xn = (-1/2) Xn-1

Step-by-step explanation:

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes.

A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S." Events are the subset of possible experiment results.The results in a sample area could vary depending on the experiment. Discrete or finite sample spaces are those that have a finite number of outcomes.

The sample space showing all possible outcomes of the two questions is the Cartesian product of the two sets of answer choices, which is:

{(A, A), "(A, B), "(A, C), "(A, D), "(A, E), "(C, A), "(C, B), "(C, C), "(C, D), "(C, E")," "(D, A), "(D, B), "(D, C), "(D, D), "(D, E)}.

There are 4 possible answers for the first question and 5 possible answers for the second question, so there are a total of 4 x 5 = 20 possible outcomes. Each outcome is a pair of answers, where the first element of the pair is the answer to the first question and the second element of the pair is the answer to the second question.

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Using translation concepts, the formula for function g(x) is given by the following option:

D. g(x) = 2^(x - 2)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

From the graph of the functions, we have that:

This means that g(x) is a shift right of 2 units of f(x), that is:

g(x) = f(x - 2).

Hence:

g(x) = 2^(x - 2)

The formula for function g(x) is given by the following option:

D. g(x) = 2^(x - 2)

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This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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Answer:

Non of the Above

Step-by-step explanation:

You are an Alpha male its atleast 2500ft

Answer:

Question 1 is C

Step-by-step explanation:

Answer:

a: top right 1 top left 2 bottom left 3 bottom right 4

c: axis going horizontal is the x axis and the axis going vertical is the y axis

d: origin is the very middle and it is (0,0)

Step-by-step explanation:

Answer:

New cost of Boots is $108.98

Step-by-step explanation:

Original Cost of boots : $99.99

Markup = 9%

New Cost of boots = ?

We will find 9% of $99.99 and add the answer in $99.99 to find new cost of boots.

Finding 9% of $99.99

\(=\frac{9}{100} \times 99.99\\= 8.99\)

New cost will be:

New cost of Boots= Original Cost of boots + Markup

New cost of Boots= 99.99 + 8.99

New cost of Boots= $108.98

So, New cost of Boots is $108.98

Answer:

(5b-4)1/5 = 5b * 1/5 - 4 * 1/5 = b - 4/5

Answer: all I know is that the answer is n/6 cause I kept getting it wrong and it told me.