Linda deposited $200 in an account earning 5% interest compounded annually.
To the nearest cent, how much will she have in 2 years?

Answer:

=-52

Step-by-step explanation:

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

y=3x-6.5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-0.5)=3(x-2)

y+0.5=3x-6

y=3x-6-0.5

y=3x-6.5

The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.

The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.

The equation of a line passing through the point and slope is given as:

(y - y₁) = m (x - x₁)

(y - -( 0.5)) = 3 ( x - 2)

(y + 0.5) = 3 (x - 2)

(y + 1/2) = 3 (x - 2)

or

y + 0.5 = 3x - 6

y = 3x - 6.5

Thus the correct option is D.

To know more about equation of a line, visit;

https://brainly.com/question/29201769

#SPJ7

Your question is incomplete most probably your full question was:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3?

A. y - 2 = 3( x + 1/2)

B. y- 3 = 2 ( x+ 1/2)

C. y + 1/2 = 3 (x - 2)

D. y + 1/2 = 2 (x -3)

Answer:

y=x

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Since the y-intercept is at the 0 axis, the y-intercept will be zero

So now the equation is looks like this:

y=mx (Since y=mx+0 doesn't make a difference)

Now find the slope

Which is 1

Thus y=x

Hope this helps!

The volume of the cone made by rotating this triangle is  5303.57

As isosceles triangle has a base of 15 ft and an altitude of 30 ft

We need to find the volume of the cone made by rotating this triangle

If we rotate

we get a cone of radius of 15/2 = 7.5

we get a cone of height of 30

The area of cone takes up on a three-dimensional plane is known as its volume. A cone's base is round, hence it is formed of a radius and a diameter. The highest point of the cone, which is naturally at the bottom when it comes to ice cream, may then be reached from the center of the base. This point is where the height of the cone is determined.

Volume of the cone is given by the formula πr²h

= 3.14 x (7.5)² x 30

= 5303.57

Therefore, the volume of the cone made by rotating this triangle is  5303.57

To learn more about volume refer here

https://brainly.com/question/463363

#SPJ4

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

<95141404393>

Answer:

$15.21

Step-by-step explanation:

The total cost of the lunch without tax is $13. If you want to find the cost of the tip, you have to find 17% of 13. To find this you do 13×0.17 which is 2.21 dollars. Now add this to the original price of your lunch, $13, to get $15.21.

Answer:

Sus edades son:

hija: 23 años

madre: 49 años

Step-by-step explanation:

Planteamiento:

m - h = 26

m - 10 = 3(h-10)

m = edad actual de la madre

h = edad actual de la hija

Desarrollo:

de la primer ecuación del planteamiento:

m = 26 + h

sustituyendo el valor de está última ecuación en la segunda ecuación del planteamiento:

(26 + h) - 10 = 3(h-10)

16 + h = 3*h + 3*-10

16 + h = 3h - 30

h - 3h = -30 - 16

-2h = -46

h = -46/-2

h = 23

de la primer ecuación del planteamiento:

m - h = 26

m - 23 = 26

m = 26 + 23

m = 49

Comprobación:

de la segunda ecuación del planteamiento:

m - 10 = 3(h-10)

49 - 10 = 3(23-10)

39 = 3*13

Answer:

B

Step-by-step explanation:

Subtraction mean how much less than a number

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ4

Answer:

hey

f = 3x^2  - 24x  + 54/x

Step-by-step explanation

Let's solve for f.

fx=

3

2

(x−4)2+3

Step 1: Divide both sides by x.

fx

x

=

3

2

x2−12x+27

x

f=

3x2−24x+54

2x

f is both injective and surjective, it is a bijection from set S to set T. The reciprocal function maps each value greater than 1 in set S to its corresponding reciprocal value in set T, ensuring a one-to-one correspondence between the elements of the two sets.

One possible function that is a bijection from set S to set T is the reciprocal function f(x) = 1/x.

To show that f is a bijection, we need to prove two properties: injectivity and surjectivity.

Injectivity: To show that f is injective, we need to demonstrate that for any distinct elements x and y in set S, their images under f are also distinct. Suppose we have f(x) = f(y), where x and y are different elements in set S. Then, 1/x = 1/y. By taking the reciprocal of both sides, we get x = y. This shows that f is injective.

Surjectivity: To show that f is surjective, we need to show that for every element y in set T, there exists an element x in set S such that f(x) = y. Given any y in set T, where 0 < y < 1, we can choose x = 1/y. Then, f(x) = 1/(1/y) = y, which implies that f is surjective.

Since f is both injective and surjective, it is a bijection from set S to set T. The reciprocal function maps each value greater than 1 in set S to its corresponding reciprocal value in set T, ensuring a one-to-one correspondence between the elements of the two sets.

Know more about Reciprocal  here:

https://brainly.com/question/15590281

#SPJ11

x and y are the packs of organic and inorganic fertilizer, respectively.

pounds of nitrogen added = 2x + 6y = 120

pounds of potassium added = 3x + 2y = 54

eliminate the y terms. subtract the first equation from 3 times the second equation.

9x + 6y = 162

-2x - 6y = -120

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

7x = 42

x = 6

y = 18

Answer:

\(\huge\boxed{\sf 3x -4}\)

Step-by-step explanation:

Add both equations.

= 2x + 1 + x - 5

Combine like terms

= 2x + x + 1 - 5

\(\rule[225]{225}{2}\)

Answer:

f(x) + g(x) = 3x - 4

Step-by-step explanation:

The problem is,

→ f(x) + g(x)

Let's solve the problem,

→ f(x) + g(x)

→ (2x + 1) + (x - 5)

→ 2x + 1 + x - 5

→ (2x + x) + (1 - 5)

→ 3x +(-4)

→ 3x - 4

Hence, answer is 3x - 4.

Answer:

44460 times more probably

Step-by-step explanation:

by diving those two numbers

Answer:

the answer is D

Step-by-step explanation:

have a good day!

Answer:

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

Use circumference formula:

Find the radius by rearranging the formula and substituting 32 for C:

Answer:

5.09 in

Step-by-step explanation:

We know that the formula to find the circumference of a circle is:

C = 2πr

Here,

C → Circumference → 32 in

r → radius

Let us find the radius of the circle by substituting the given values.

\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)

Someone else in the world may watch it but personally i do not.

Answer:

Please Give Brainliest

Step-by-step explanation:

To find positive numbers x and y that satisfy the given condition, we need to minimize the sum x + y while keeping the product xy constant. We can use the Arithmetic Mean-Geometric Mean (AM-GM) Inequality for this problem. The AM-GM inequality states that the arithmetic mean of a set of non-negative numbers is always greater than or equal to the geometric mean of the same numbers.

In this case, we have two numbers, x and y. The arithmetic mean of x and y is (x + y)/2, and the geometric mean is √(xy). According to the AM-GM inequality, we have:

(x + y)/2 ≥ √(xy)

Multiplying both sides by 2, we get:

x + y ≥ 2√(xy)

Now, we want to minimize the sum x + y, which means we need to find the minimum value for the right-hand side of the inequality. The minimum value occurs when the inequality becomes an equality:

x + y = 2√(xy)

To achieve this equality, x must be equal to y (x = y). This is because the arithmetic mean and geometric mean are equal only when all the numbers in the set are equal. Therefore, x = y and the product xy will have the minimum sum. The exact values of x and y will depend on the given constraint for the product xy.

To know more about mean visit:

https://brainly.com/question/31101410

#SPJ11

Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

5-7 = -2;   (-2²) = 4

5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

\(\sqrt{4}\) = 2

Answer:

where is the image

Step-by-step explanation:

Answer:

y = -30.17x + 14.49.

Step-by-step explanation:

I inserted a picture to show my work sorry for my handwriting, also sorry i took so long

Answer:

x = 14/5

Step-by-step explanation:

2x-4= -x-6/2

multiply by 2 on both sides to get rid of the fraction

4x-8= -x-6

add both sides by 8 and both sides by x to get the constants on the right and the variables on the left

4x+x=6+8

combine like terms/simplify

5x=14

divide both sides by 5 to isolate the x

x=14/5

i hope this helps :)

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

For similar questions on Mate's car

https://brainly.com/question/33586007

#SPJ8

Answer:

A. 356

Step-by-step explanation:

Answer:

Step-by-step explanation:

how r u in highschool and not know this-

anyways... its 356

Answer:

what percent of 60 is 45, = 45/60 = x/100 = 75%,  16 is 20% of what number = 16/x = 20/100 = 80 not 75,  12.6 is 28%of what number = 45

Step-by-step explanation:

just trust me this would be to long to put on this space but if you have any queztions on why I ordered it this way just ask me.

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true