Which of the following would earn the same amount of interest as a​ $600 principal with​ 2.5% interest for 6​ years?

Answer:

y=2x

Step-by-step explanation:

The equation for slop-intercept form is y=mx+b where m is the slope and b is the y-intercept.

2 represents the rise/over since you rise 2 units (up) and run 1 unit (to the right). So the slope is 2/1 or just 2, and then you multiply it by x to get 2x.

The line starts at the origin (0,0), so the y-intercept would be 0. They didn't say y=2x+0 because the + 0 wouldn't change the line.

The equation that represents a line on a graph can be determined using the slope-intercept form, y = mx + b. To find the equation, you need to determine the slope and the y-intercept.

The equation that represents a line on a graph can be determined using the slope-intercept form, y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept (the point where the line intersects the y-axis).

To find the equation of the line shown on the graph, you need to determine the slope and the y-intercept. You can do this by selecting any two points on the line and using their coordinates to calculate the slope, and then substituting one of the points into the equation to solve for the y-intercept.

Once you have the slope and y-intercept values, you can substitute them into the slope-intercept form to write the equation of the line.

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Answer:

x=11

Step-by-step explanation:

M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x

9x-6=6x+27 (set equal to eachother)

9x=6x+33 (add 6)

3x=33 (subtract 6x)

x=11 (divide by 3)

Midpoint M of AB splits AB into two equal segments. By solving given equation, we find that x = 11, AM = 93 and BM = 93.

The question pertains to the concept of midpoints in geometry. In this problem, we are given that M is the midpoint of AB. Since M is the midpoint, AM equals BM. So, we can set up the equation 9x - 6 = 6x + 27. Solving this equation we get x = 11. Substituting x = 11 into AM = 9x - 6, we get AM = 9(11) - 6 = 93. Similarly, substituting x = 11 into BM = 6x + 27, we get BM = 6(11) + 27 = 93. Therefore, both AM and BM equal 93.

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Answer:

A. What is the percent of change from last year to this year.

Answer: The percent of change from last year to this year is:

[tex]\frac{10.00 - 8.50}{8.50} \times 100[/tex]

[tex]\frac{1.50}{8.50} \times 100[/tex]

[tex]17.65 \%[/tex]

Therefore, the percent change from last year to this year is 17.65%

B. Is this a percent increase or decrease?

Answer: This is a percent increase.

C. If you have 25% off coupon to use on 10.00 ticket what is the cost?

Answer: The 25% of 10.00 is given below:

[tex]\frac{25}{100} \times 10.00[/tex]

[tex]0.25 \times 10.00[/tex]

[tex]2.5[/tex]

Therefore, the cost is:

[tex]10.00 -2.5 =7.5[/tex]

Answer: 1.4286 gallons

Step-by-step explanation: the equation would be:

0.9*5+0x=0.7(5+x)

then you can shorten it down to:

4.5=3.5+0.7x

subtract both sides by 3.5 and you end up with:

1=0.7x

divide both sides by 0.7 and you get 1.4286 gallons

The chemist needs to add approximately 1.43 gallons of distilled water to 5 gallons of acid to obtain a 70% pure tannic acid solution.

Here, we have,

To solve this problem, we can use a mixture equation that equates the amount of pure tannic acid in the initial solution to the amount of pure tannic acid in the final solution.

Let's denote the amount of distilled water to be added as "x" gallons.

The initial solution contains 5 gallons of acid at 90% purity. This means it contains 0.90 * 5 = 4.5 gallons of pure tannic acid.

When the distilled water is added, the total volume of the solution becomes 5 + x gallons.

The goal is to obtain a 70% pure solution, which means it should contain 0.70 * (5 + x) gallons of pure tannic acid.

According to the mixture equation, we can set up the following equation:

4.5 = 0.70 * (5 + x)

Now, let's solve for x:

4.5 = 0.70 * 5 + 0.70 * x

4.5 = 3.5 + 0.70x

0.70x = 4.5 - 3.5

0.70x = 1

x = 1 / 0.70

x ≈ 1.43

Therefore, the chemist needs to add approximately 1.43 gallons of distilled water to 5 gallons of acid to obtain a 70% pure tannic acid solution.

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Answer:

3

√

−

216

x

9

Rewrite  

−

216

x

9

as  

(

−

6

x

3

)

3

.

3

√

(

−

6

x

3

)

3

Pull terms out from under the radical, assuming positive real numbers.

−

6

x

3

Step-by-step explanation:

Hope This Helped

Answer:

1 a.  2 d.  3 b.  4 c.   that is your answer i believe

Step-by-step explanation:

Answer:

1 & 3 are supplementary angles

1 & 4 are vertical angles

1 and 5 are corresponding angles

1 and 8 are alternate exterior angles

Step-by-step explanation:

I'm a bit unsure about the first one, but I know the rest are correct :)

John was traveling at a speed of 57.91 miles per hour when he covered a distance of 1700 feet in 20 seconds.

To calculate the speed at which John was traveling in miles per hour, we will convert the given distance to miles and the time to hours, then divide the distance by the time. There are 5280 feet in a mile and 3600 seconds in an hour.

First, convert 1700 feet to miles:

Next, convert 20 seconds to hours:

Finally, calculate the speed in miles per hour:

So, John was traveling at 57.91 miles per hour.

Answer:

Alright well the Answers to your question is

- 2 Hope this helps have a nice day :)

Step-by-step explanation:

Since the equation can be written in the form y = kx, y varies directly with x and. The constant of variation, k, is - 2

Hope this help's as well Hope u have a nice day :)

Answer:

This is direct variation with the constant of variation being -2.

Step-by-step explanation:

The equation for direct variation is y = kx

We have the equation y = -2x

This is direct variation with the constant of variation being -2.

Answer:

a. p(n) is a function of n

b. p(2)=12.50

c. {0, 1, 2, 3, 4}

Step-by-step explanation:

A function is a rule or equation the p(n) depends on the variable n. We write it as p(n) is a function of n. It can also be written in symbols using p(input)=output for (input,output). We write p(2)=12.50. Lastly, every function has a domain which consists of input values or n values used. Here it is 0, 1, 2, 3, 4.

Answer:

30 devided by half    so out here we have 30 and now half, we will take our half as 1/2 (which we all know what half is 1/2)

30 ÷ 1/2   (now here we will reciprocate the fraction on the right side as well as chnge division sign to multiplication one)

=30/1  x  2/1   (now look carefully here we have to multply 2 and 30 which will then give us our answer )

=60/1 ( as 60/1 means whole we will just write 60 as we dont need 1 out here)

=60 ANSWER

 Step-by-step explanation:

hOPE THIS HELPS MERRY CHRISTMAS

Answer:

70

Step-by-step explanation:

The first step said to take 30 and divide it by 1/2

30 ÷ 1/2

We can copy dot flip

30 * 2/1

60

Then we need to add 10

60 + 10

70

Answer:

(10,8)

Step-by-step explanation:

The equation of a circle has the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.

Our equation is:

[tex](x-10)^2+(y-8)^2=256[/tex]

The center is (10,8).

The center of the circle given by the equation (x−10)² + (y−8)² = 256 is (10, 8). This can be derived from the standard form of a circle's equation. Therefore, the coordinates are (10, 8).

The given equation of the circle is (x−10)² + (y−8)² = 256.

This equation is in the standard form of a circle's equation, (x−h)² + (y−k)² = r², where (h, k) represents the center and r is the radius.

In this case, the values of h and k can be directly identified from the equation: h = 10 and k = 8.

Therefore, the center of the circle is at the coordinates (10, 8).

To calculate the different ice cream desserts Rachel can order, we use the formula for combinations without repetition. Given 5 sizes, 2 flavors, and 1 topping, the number of choices for each category: 5 sizes x 2 flavors x 1 topping = 10 different ice cream desserts Rachel could order.

Total ice cream desserts = (Number of sizes) × (Number of flavors) × (Number of toppings)

= 5 × 2 × 1

= 10

So, Rachel could order 10 different ice cream desserts by combining the choices for size, flavor, and topping.

A) The rate for the first 3 years :

15,600 - 7500 = 8100

8100/3 years = 2,700 per year depreciation.

B) The rate between 3 and 8 years:

7500 - 2800 = 4700

4700 / 5 year = 940 per year depreciation.

C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.

Answer:

A) Given,

The value of the machine when purchased = 15,600

And, the value of the machine after 3 years = 7,500

So, average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years

[tex]=\frac{\text{the value after 3 years-the value when it purchased}}{3-0}[/tex]

[tex]=\frac{7500-15600}{3}[/tex]

[tex]=\frac{-8100}{3}[/tex]

= - 2,700

B) The value of car after 8 years = 2,800,

So, the average rate of change in the value of car between the end of 3 years and 8 years

[tex]=\frac{\text{the value after 8 years-the value after 3 years}}{8-3}[/tex]

[tex]=\frac{2800-7500}{5}[/tex]

[tex]=\frac{-4700}{5}[/tex]

=- 940

C) The negative sign shows the value of car is decreasing.

To solve triangle ABC, we use the Law of Cosines to find angle C and the Law of Sines to find angles A and B. Plugging in the given values, we find that angle C is approximately 103.39 degrees, angle A is approximately 25.70 degrees, and angle B is approximately 50.91 degrees.

Given that c = 82, b = 2, and a = 12, we can use the Law of Cosines to solve for the missing angles.

Using the Law of Cosines, we have:

c^2 = a^2 + b^2 - 2ab*cos(C)

Plugging in the values, we get:

82^2 = 12^2 + 2^2 - 2(12)(2)*cos(C)

6724 = 144 + 4 - 48cos(C)

660 = -48cos(C)

cos(C) = -660/48

C = acos(-660/48)

Using a calculator, we find that C ≈ 103.39 degrees.

To find angle A, we can use the Law of Sines:

a/sin(A) = c/sin(C)

Plugging in the values, we get:

12/sin(A) = 82/sin(103.39)

Solving for sin(A), we get:

sin(A) = (12*sin(103.39))/82

A = asin((12*sin(103.39))/82)

Using a calculator, we find that A ≈ 25.70 degrees.

Finally, we can find angle B using the fact that the sum of the angles in a triangle is 180 degrees:

B = 180 - A - C

Plugging in the values, we get:

B = 180 - 25.70 - 103.39

Using a calculator, we find that B ≈ 50.91 degrees.

A ≈ 25.70 degrees

B ≈ 50.91 degrees

C ≈ 103.39 degrees

To solve the triangle ABC, we can use the Law of Sines. The Law of Sines states. the correct answer is:option b. A≈9.59°, B≈88.41°, c≈12.17°

To solve the triangle ABC, we can use the Law of Sines. The Law of Sines states:

sinA/a = sinB/b=sinC/c

Given that C=82°, b=2, and a=12, we want to find angles A and B and side

Let's find angle A using the Law of Sines:

sinA/12=sin82°/2

Now, solve for angle A:

sinA=12⋅ sin82°/2

A=sin −1(12⋅ sin82°/2)

A≈9.59°

Now that we have angle A, we can find angle B using the fact that the sum of angles in a triangle is 180°:

B=180°−A−C

B=180°−9.59°−82°

B≈88.41°

Now, we can find side c using the Law of Sines:

sinA/a= sinC/c

sin9.59°/12= sin82°/c

Now, solve for c:

c=12⋅sin82°/ sin9.59°

c≈12.17

So, the correct answer is:

A≈9.59°,

B≈88.41°,

c≈12.17°

completed question

Given that C=82°, b=2 , and a=12 , solve triangle ABC. Round the answer to the nearest hundredth.

A. A=9.59°, B=88.41°, c=11.89

B. A=9.59°, B=88.41°, c=12.17

C. A=88.41°, B=9.59°, c=11.89

D. A=88.41°, B=9.59°, c=12.17

Answer:

62.8 in

Step-by-step explanation:

Circumfrence=pi x diameter

3.14 x 20=62.8

Final answer:

Given π as approximately 3.14159, the circumference is found to be about 62.8318 inches.

Explanation:

The question asks for the circumference of a circle with a diameter of 20 inches. To find the circumference (C), we use the formula C = πd, where π (Pi) is approximately 3.14159, and d is the diameter of the circle. Given the diameter (d) of 20 inches, the circumference is calculated as follows: C = 3.14159 × 20.

Substituting the values into the equation provides: C = 62.8318 inches. Hence, the circumference of the circle with a diameter of 20 inches is approximately 62.8318 inches.

Answer:

The answer would be D.

Step-by-step explanation:

You can use an online graphing calculator to see the lines for each equation.

Answer: D

Step-by-step explanation: The slope of a line is rise/run or change in y values/change in x values. We will use the two points (-4, 1) and (0,0) for this problem. 0-1/0-(-4) = -1/4

Answer: answers B and E and C are correct

Answer:

E. x ≥ 5y

A. y ≤ 25

B. x + y ≥50

Step-by-step explanation:

Let x represent the number of key chains.

Let y represent the number of thumb drives.

As we know that:

<=> x ≥ 5y

<=> y ≤ 25  

<=> x + y ≥50

So inequalities are among the constraints for this situation are:

x ≥ 5y

y ≤ 25

x + y ≥50

Answer:

4.13E7 means 4.13 times 10 to the 7th power which equals

4.13 x 10^7 OR

41,300,000

Step-by-step explanation:

Answer: there are 40 marbles in the bag.

Answer:

The answer is C.  ASA

Step-by-step explanation:

The SAS doesn't work here, and there are not two angles right next to each other to use.

Answer: D) not possible

SAS won't work because the angles marked are not between the side lengths with the tickmarks

AAS won't work because we only have one pair of angles, not two. ASA is a similar story.

So that leaves "not possible" as the only answer. We simply don't have enough info. The triangles could be congruent, or they may not be. We simply don't know.

Answer:

6/16

Step-by-step explanation:

12/16-3/8

12/16-6/16

6/16=3/8

6/16

12/16-3/8

12/16-6/16

6/16=3/8

Answer:

y = 2(x - 3)² + 5

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (3, 5) and a = 2, hence

y = 2(x - 3)² + 5 ← in vertex form

The equation of the quadratic function in vertex form with given vertex and leading coefficient is y=2(x-3)²+5.

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

Given that, the vertex is at (3,5) and has a leading coefficient of 2

Here, (h, k) = (3, 5) and a = 2

Substitute (h, k) = (3, 5) and a = 2 in f(x) = a(x - h)² + k, we get

y=2(x-3)²+5

Therefore, the equation of the quadratic function in vertex form is y=2(x-3)²+5.

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Answer:

13 miles

Step-by-step explanation:

The fare for the Uber

Cost= 5+ .5 m  

where m is the number of miles

We spent 11.50

11.50 = 5 + .5 m

Subtract 5 from each side

11.5 -5 = 5+.5m -5

6.50 = .5 m

Divide by .5 on each side

6.5/.5 = .5m/.5

13 = m

We went 13 miles

a) 0.92v or 23v/25 or 92%v

b)Oringaly, there was 100%. 8% was token away, so 100%-8%=92%

Answer:

65

Step-by-step explanation:

let the son's age be x then the man's age is 5x

In 13 years

son's age = x + 13 and man's age = 5x + 13 and he is 3 times as old as son

5x + 13 = 3(x + 13)

5x + 13 = 3x + 39 ( subtract 3x from both sides )

2x + 13 = 39 ( subtract 13 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13 ← son's present age

5x = 5 × 13 = 65 ← man's present age

Answer:

The man's present age is 65.  

Step-by-step explanation:

Let x = the man's age and y = his son's age.

In 13 yr, their ages will be x + 13 and y + 13, respectively.

We have two conditions:

(1)          x = 5y

(2) x + 13 = 3(y + 13)     Remove parentheses

    x + 13 = 3y + 39      Subtract 13 from each side

(3)        x = 3y + 26      Substitute (1) into (3)

         5y = 3y + 26      Subtract 2y from each side

         2y = 26              Divide each side by 2

(4)        y = 13                Substitute (4) into (1)

           x = 5 × 13

           x = 65

The man's present age is 65.

Answer:

6.1

Step-by-step explanation:

We are rounding the 1, so we look to the next digit.  3 < 5, so we can leave the 1 alone.

6.13 rounds to 6.1

Answer:

6.1

Step-by-step explanation:

The 3 is smaller than 5 so it doesn't round to 6.2

Answer:

There will be 18 3/4 Inches on each side of the frame!

Hope this helped:)

Step-by-step explanation:

4*12=48

48-10.5=37.5

37.7/2=18.75

Answer:

Step-by-step explanation:

We know that, the picture is 10.5 inches wide, and the wall is 4 feet wide.

First we have to transform feet to inches and subtract. So, we know that 1 feet is 12 inches, how much inches would be 4 feet?

[tex]4 \ ft\frac{12 \ in}{1 \ ft}=48 \ in[/tex]

So, the wall is 48 inches wide.

Now,

[tex](48 - 10.5)in=37.5in[/tex]

There's 37.5 inches of space. If the picture is in the middle, then each side would be have:

[tex]\frac{37.5}{2}=18.75 \ in[/tex]

Therefore, there's 18.75 inches of space at each side of the picture.