A savings account balance is compounded annually. if the interest rate is 2% per year and the current balance is $1430.00 what will the balance be 8 years from now

Answer:

1

Step-by-step explanation:

it is 4/4 probability, which is equal to a whole (1)

C. A chain-style franchise is a type of franchise where the franchisee produces and sells a franchisor's product using the franchisor's name.

The franchisee operates under the franchisor's established system and business model, including marketing strategies, training programs, and support services. This type of franchise is also known as a product distribution franchise because the franchisee distributes the franchisor's product to customers within a specified territory.

In a chain-style franchise, the franchisor maintains control over the quality and consistency of the product, while the franchisee is responsible for the day-to-day operations of the business. Examples of chain-style franchises include fast-food restaurants, gas stations, and retail stores.

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Answer:

x<0

Step-by-step explanation:

a negative number times a positive number is a negative

If you will multiply twenty negative numbers​ together, with fifteen positive numbers. If the value of your number is​ x, It will be greater than zero.

Multiplication of negative numbers even number of times gives a positive number. Whereas, multiplication of negative number odd number of times returns a positive number.

Multiplication of 20 negative numbers will result in a positive number, since 20 is even. Further, when the product is multiplied by 15 positive numbers, it will still be positive. Product of any number of positive digits is positive.

Since, our final product is positive, it has to be greater than 0.

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The given expression is negative as after the solving fraction the value is:  -17/15

Examine the fractions' denominators. Find the LCM of the denominators and rationalize them to make the denominators of both fractions the same. Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.

Given fraction are : -1/3 , -4/5

Applying the fraction addition formula:

by calculating and reasoning the LCM of denominators Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.

= (-1/3)+( -4/5)

Applying the fraction addition rule:

= \(\frac{-1}{3}\) -  \(\frac{-4}{5}\)

Finding the LCM of the denominators:

= \(\frac{-5}{15} - \frac{12}{15}\)

= -17/15

The given expression is negative as after the solving fraction the value is:  -17/15

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Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer:51.96 dollars total

Step-by-step explanation:

go to a smart cauculator and add 8.25%  to 48

Answer:

3/100 should be correct that's what I did a couple years ago

The line of regression equation for the mileage rating of a ( point) four wheel drive vehicle is \(\hat y = 16.111 + 0.365x,\) and the best predicted new mileage rating of a ( point) four-wheel drive vehicle when x = 19 mi/gal, is equals to the 23.046 mi/gal. So, option(b) is right one.

A linear regression line has an equation of the form \(\hat y = a + bx,\)

where x is the independent variable and y is the dependent variable. The slope of the line is b, and a is the estimated intercept (the value of y when x = 0). We have a table form data of old and new rating of four-wheel-drive vehicles. We have to determine the line of regression. Now, we have to calculate the value of 'a' and 'b'. Let the old and new mileage rating of four-wheel-drive vehicles be represented by vaiables 'x' and 'y'. Using the following formulas, \(b =\frac{ S_{xy}}{S_{xx}}\) where, \(S_{xx} = \sum x² - \frac{ (\sum x)² }{n} \)

where , \(\bar x = \frac{\sum x }{n}\)

Here, n = 11, \(\sum x\) = 235

\(\sum xy\) = 263, \(\sum x²\) = 5733, \(\sum xy\) = 5879, so

\(S_{xx}\) = 5733 - (235)²/11

= 5733 - 5020.454 = 712.546

\(S_{xy}\) = 5879 - (235×263)/11

= 260.364

Now, b = 260.364/712.546 = 0.365

a = (263/11) - 0.365 ( 235/11)

= 23.909 - 7.798

= 16.111

So, regression line equation is

\(\hat y = 16.111 + 0.365x,\)

The best predicted value of y, when x = 19 mi/gal, \(\hat y = 19× 0.365 + 16.111\)

=23.046 mi/gal

Hence, the best predicted value is

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Complete question:

10. Determine the line of regression and use it to find the best predicted new mileage rating of a ( point) four-wheel-drive vehicle given that the old rating is 19 mi/gal

old 6 27 17 33 28 24 8 22 20 29 21

New 15 24 15 29 25 22 6 20 82 6 19

a) y cap = 0.863 + 0.808x; 16.2 mi/gal

b) y cap = 16.111 + 0.365x; 23.04 mi/gal

c) y cap =0.808+ 0.863x; 17.2 mi/gal

d) y cap = 0.808 0.863x; 18.1 mi/gal

The y-intercept of a line in the xy-plane is (0,1) as shown in attached graph given int the question.

To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis. This means that the y-intercept is the value of y when x is equal to zero. Therefore, we can read off the y-intercept directly from the equation of the line. To find the y-intercept of a line in the xy-plane, we need to find the point where the line intersects the y-axis. The y-axis is the vertical axis that runs through the origin and is perpendicular to the x-axis.

In the given graph we can see that the line intersects the point 1 on y axis.

Therefore, y-intercept of a line in the xy-plane is (0,1).

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Answer:

a. d= 44

b. c= 138.23 in

Step-by-step explanation:

diameter is twice of radius so 22*2 = 44

Answer:

a. 44 inches

b. 44pi

Step-by-step explanation:

a. the radius is half the diameter

b. the equation for the circumference is C = pi*D, and since D is 44, the circumference, in terms of pi,would be 44pi

Answer:

2.9= -2b +4.1

-4.1         -4.1

-1.5 = -2b

divide both sides by -2

.75= b

At t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

To determine whether there is a time interval during which the particle is not moving, we need to examine the velocity of the particle. The velocity of the particle is the derivative of its position with respect to time.

The given position function is y = 0.20 + 8.0t - 10t^2.

To find the velocity function, we take the derivative of the position function with respect to time (t):

v(t) = d/dt (0.20 + 8.0t - 10t^2)

= 8.0 - 20t

The velocity function v(t) represents the rate of change of the position of the particle with respect to time. If the velocity is zero at any point in time, it means the particle is momentarily at rest.

Setting the velocity function equal to zero, we have:

8.0 - 20t = 0

Solving for t, we find:

20t = 8.0

t = 0.4

So, at t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

Therefore, there is a time interval during which the particle is not moving, specifically at t = 0.4. Before and after this time point, the particle is in motion either upward or downward along the y-axis.

It's worth noting that we should consider the full domain of the position function (y) to determine if there are any other time intervals during which the particle is not moving. In this case, the given function does not specify any constraints on time, so the time interval t = 0.4 is the only time interval during which the particle is at rest.

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Answer:

40π

Step-by-step explanation:

cricumference: 2πr (or πd)

2π(20) = (40)π ≈ 125.66

Answer: 40

Step-by-step explanation:

First, you have to multiply the radius by 2 which gives us 40. Then, 40 x 3.14 (pi) = 125.6 After, you divide 125.6 by 3.14 which once again gives you 40. :)

Step-by-step explanation:

Question 1:

Question 2:

Answer:

0.64y = 40.

Question 2:

0.45z = 72

z = 72 * (1/0.45) = 160.

Step-by-step explanation:

They have to sell D. 75 shirts to make a profit of $300.

The total cost of buying and printing the shirts was $600.

In order to make a profit of $300, they would therefore have to raise:

= Cost + profit

= 600 + 300

= $900

As they are selling each shirt $12, the number of shirts they would have to sell to get to $900 is:

= 900 / 12

= 75 shirts

They would therefore have to sell 75 shirts in order to make a profit of $300.

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Answer:

x > 23

Step-by-step explanation:

5x – 1 < 7x - 47​

Add 1 to -47, you get -46.

5x < 7x - 46

Subtract 7x from 5x.

-2x < -46

Multiply both sides to reverse the inequality.

2x > 46

Divide both sides by 2.

x > 23

Comparing the articles I, II, and III of the constitution, in the descending order of length and detail, the articles are ranked as I, II, and III. Article I is the longest.

Article I of the constitution created the legislative branch, article II of the constitution created an executive branch, and article III of the constitution created a judicial constitution. Article I is the longest and more detailed part of the constitution as the powers and the duties of the legislative branch are much more varied than the executive branch. Additionally, the legislative branch is composed of more individuals than the executive branch.

Article 1 is the longest as founding fathers believed that a legislative branch is very important in a government that represents the citizens. Article 3 is the shortest part of the constitution as the founding fathers did not expect the judiciary to play a large role.

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Answer: 11.3 or 11 if you are to round to nearest whole number.

Step-by-step explanation:

Take the problem step by step.

You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.

Take how much she paid and Subtract the monthly fee from it since it has been a month.

$60.95 - $14.95 = $36

Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.

$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.

Examining measures of dispersion about the mean is important because:
1. They provide information about the spread of the data.
2. They help in interpreting the overall distribution more accurately.
3. They assist in understanding the degree of variability in the data, which is crucial for making informed decisions.

The reason it's important to examine measures of dispersion about the mean is that these measures, such as variance and standard deviation, can provide valuable information about the spread of the data in the distribution. When there are extreme values, the mean might not accurately represent the center of the data.

In such cases, measures of dispersion help in understanding how the data is spread out, which in turn aids in better interpreting the overall distribution. These measures provide insights into the degree of variability in the data, which is crucial for making informed decisions based on the data set.

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Answer:

x = 5, y = 8, z = -3

Step-by-step explanation:

Opposite sides of a parallelogram are congruent so to find x:

x + 7 = 3x - 3

-2x = -10

x = 5

To find y:

y + 2 = 2y - 6

-y = -8

y = 8

Therefore, z = x - y = 5 - 8 = -3.

Area of a square = Side x Side (length x width)

A = 1.69 m²

Length = √area of square

L = √1.69 m²

L = 1.3 m

Check Work: 1.3² = 1.3 m x 1.3m

= 1.69 m²

Answer:

he needs 1.3 meters of laminate for the length

Step-by-step explanation:

area of a square = side multiplied by side (or length x width)

area = 1.69 m²

Length = √area of square

L = √1.69 m² or 1.3m

Answer:

30 J

Step-by-step explanation:

Given : -

Height ( h ) = 3m

Weight ( W ) = 10 N

To find : GPE = ?

Note : -

GPE is Gravitational Potential Energy.

It is expressed in Joules ( J ).

Formula : -

W = mg

mg = 10 N

Formula : -

GPE = mgh

GPE = 10 x 3

GPE = 30 J

Therefore,

A bird weighs 10 N and is standing 3 m, it's

GPE is 30 J.

Answer:

The answer is GPE = 300 Nm (Newton meters)

Step-by-step explanation:

The bird's mass weighs to 10 Newtons.

Presuming this took place on Earth, the gravitational force is 10 Newtons.

The bird is standing 3 meters above the ground.

Using the GPE formula (GPE = mgw,) the answer should be 300 Newton metres.

Answer:

x=0

Step-by-step explanation:

if

h(x)= -5x+3

h(x)= 3

then

-5x+3 = 3

solve for x

-5x=0

x=0

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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