Find value of b and A

Answer: A

Step by step explanation:

Answer:

A. 100+25x= 700

Step-by-step explanation:

since he saves $25 per month you have to divide 700 and 25 and you get 28

if You aren’t sure Its right then multiply 25 and 28 and you get 700

Answer: 0.008

hope this helps

Answer:

\(\frac{1}{125}\) or 0.008

Step-by-step explanation:

There are two possible ways of solving this given problem.

Applying the Quotient to Power Rule of Exponents: \((\frac{a}{b})^{m} = \frac{a^{m}}{b^{m}}\)

\(\frac{1}{5}^{3} = \frac{1^{3}}{5^{3}}\) =  \(\frac{1}{125}\).

\(\frac{1}{5}^{3}\) is the same thing as:  \(\frac{1}{5} * \frac{1}{5} *\frac{1}{5}\) = \(\frac{1}{125}\) or 0.008.

Answer:

D) 1/2

Step-by-step explanation:

Dilation : a type of transformation that makes the figure larger or smaller.

Scale factor : number or the conversion factor which is used to change the size of a figure without changing its shape.

Scale factor = dimensions of the new shape ÷ dimensions of the original shape

Given:

Therefore, scale factor = 3 ÷ 6 = 1/2

Here

Scale factor is

\(\\ \tt\hookrightarrow 2/4=1/2\)

Answer:

lol?????????????????"!?!?!?!?!?!?

Step-by-step explanation:

Answer:

SKSKSKSKSKSKSKSKSKSKSKSKSKS

Answer:

\( \frac{ 56}{ - 4} = - 14\)

Hope it helps...........................

If the acceleration of the object becomes 3 m/s^2, the force is equal to 27 Newton.

Mathematically, a direct proportion can be represented the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 81/9

Constant of proportionality (k) = 9.

For the force when the acceleration of the object becomes 3 m/s^2, we have:

y = kx

y = 9(3)

y = 27 Newton.

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Complete Question:

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 81 N acts on a certain object, the acceleration of the object is 9 m/s^2. If the acceleration of the object becomes 3 m/s^2, what is the force?

Answer:

This is not the answer but if u have Spanchat you can go to the AI and ask him to fill in the table using this function rule, list x, and then put the equation and he'll give you the table

Step-by-step explanation:

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★Refer the attachment mate!! Follow for more★

Answer:

7

Step-by-step explanation:

3/10+4/10 =7/10

Answer:

7/10, or 70%

Step-by-step explanation:

You just add the fractions together and get 7/10. You could also find a common denominator and the add them together. You would do, 9/30+ 12/30= 21/30, or 7/10.

Answer:

PDF for a continuous random variable is given. Use the PDF to find (a) and the CDF.

Answer: balance is -44 dollars

This indicates he owes 44 dollars

=======================================================

Explanation:

21 + (-30) = -9 is the balance if we don't account for the overdraft fee

If we do account for the overdraft fee, then -9 + (-35) = -44 is the bank balance.

Note how I'm using negative values to indicate balances in which Nick owes money, rather than it's the amount of money he has. So he owes the bank $44.

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

A slightly different way to get the answer is to say

21-30 = -9

-9-35 = -44

This is because adding a negative is the same as subtraction.

Answer:

n = 2

Step-by-step explanation:

1.2n - 1.5 = 0.45n

collect like terms

1.2n - 0.45n = 1.5

0.75n = 1.5

divide both side by 0.75

0.75n/0.75 = 1.5/0.75

n =2

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

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Answer:

the correct option is D

Step-by-step explanation:

The answer of the given question based on finding the values of a and b are 12 and 9, respectively.

A triangle is  geometric shape that consists of the three straight sides and three angles. Triangles are one of  basic shapes in geometry and often used in the various mathematical applications.

Since  triangles are similar, their corresponding sides are in the proportion. That is:

AB/DE = BC/EF = AC/DF

We can use this proportion to find the values of a and b.

From the diagram, we can see that:

AB = 12 + a

BC = 9 + b

AC = 15

DE = 8

EF = 6

Using the proportion, we get:

AB/DE = BC/EF

(12 + a)/8 = (9 + b)/6

Cross-multiplying, we get:

6(12 + a) = 8(9 + b)

72 + 6a = 72 + 8b

6a = 8b

a/b = 4/3

Similarly, using the other part of the proportion, we get:

AC/DF = 15/DF = (AB + BC)/(DE + EF) = (12 + a + 9 + b)/(8 + 6)

15DF = 21 + a + b

Substituting the value of a/b = 4/3, we get:

15DF = 21 + (4/3)b + b

15DF = 21 + (7/3)b

45DF = 63 + 7b

45DF = 7(b + 9)

Dividing both sides by 7, we get:

DF = (b + 9)

Substituting this value in the previous equation, we get:

45(b + 9) = 63 + 7b

45b + 405 = 63 + 7b

38b = 342

b = 9

Substituting the value of b in the equation a/b = 4/3, we get:

a/9 = 4/3

a = 12

Therefore, the values of a and b are 12 and 9, respectively.

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This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.

Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.

Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.

If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.

In case r is positive, the point will lie in the same quadrant as the angle of rotation.

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Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

Answer:

x = 1    or   x = -5   or   x = 10

Step-by-step explanation:

f(x) = x³ – 6x² – 45x + 50 = (x² + 4x -5) (x - 10) = (x - 1) (x + 5) (x - 10)

(x - 1) (x + 5) (x - 10) = 0

x = 1    or   x = -5   or   x = 10

Answer:

$38,645.7208

Step-by-step explanation:

Given that

Principal = $70,000

Time = 20 years

Rate = 2.2%

The calculation of the amount of saving is shown below:-

\(=P(1+r)^t\)

A = Future amount

P = Principal amount  

\(r = \frac{APR}{12}\)  

\(r = \frac{0.022}{12}\)

0.001833333

t = 20 years which is equals to 240 months

\(A=\$70,000\times (1+0.001833333)^{240}\)

\(A=\$70,000\times 1.552081726\)

= $108,645.7208

And, the loan amount for 20 years is $70,000

So,

He would save by paying off 9 years early is

= $108,645.7208  - $70,000

= $38,645.7208

Its $3644.67  since everyone couldn't find it solved it myself ;)

Answer:

x ≈ 399.43

Step-by-step explanation:

Using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

Given

\(log_{e}\) (x + 4) = 6 , then

x + 4 = \(e^{6}\) ( subtract 4 from both sides )

x = \(e^{6}\) - 4 ≈ 399.43 ( to the nearest hundredth )

Answer:

5.81%

Step-by-step explanation:

The measure of <1 is 31°.

Two angles are said to be vertical angles when they are formed by two straight lines intersecting at a point. This produces a series of angles of which some are vertical, thus they have equal measure.

In the information given in the question, it was given that <1 and <2 are vertical angles. This implies that they have equal measure, such that;

<2 = 31° (given)

So that;

<1 = <2 = 31°

Thus,

<1 = 31°

Therefore, it can be concluded that the measure of <1 is 31°.

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Using pythagoras theorem formula, c² = a² +b²  We can see that the two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

What is Pythagoras' theorem ?

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

Let the sides of the triangles be a, b and c. According to Pythagoras theorem;

c² = a² +b²

where:

a is the hypotenuse (longest side)

For triangle A:

c = 13

b = 12

Get "a"

13² = 12² +b²

b² = 25

=> b = 5 cm

Similarly for triangle B:

c² = 5² +12²  = 169

=> c=13 cm

We can see that the two shorter sides have the same length which is 5cm

Since all the sides of the triangle are the same, hence the two triangles are congruent.

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The measure of angle Y, considering the similar triangles in this problem, is give as follows:

m < Y = 124º.

Similar triangles are triangles that share these two features listed as follows:

N and Y are the base angles, connecting the lateral segments, hence they are congruent.

As m < N = 124º, the measure of angle Y is given as follows:

m < Y = 124º.

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Answer:

Yes they are.

The ratio of the first trail mix is 3/2

The ratio of the second trail mix is 4.5/3

We can multiply the ratio of the second per 10 and after simplify it to verify what is the ratio:

4.5/3 × 10/10 = 45/30

Simplify 45/30 by 3:

15/10 now simplify it by 5:

3/2

Both ratios are equal to 3/2, so they're equivalent

The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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Substitute the given equation for f(x)

Factor the left side of the inequality

Test for each interval

Therefore, the solution to the inequality is

Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55