If you take out an auto loan with a 4% simple interest rate for a vehicle that costs $6,000 total, how much will you have paid in total after 4 years?

Answer:

4/11

Step-by-step explanation:

There are 4 midfielders on the team out of 11.

Answer:

4/11 midfielders!

Step-by-step explanation:

There are 11 total players and four of them are said to be midfielders. Out that into a fraction and you get 4/11 middies

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

Answer:

$3.50

Step-by-step explanation:

4 2/3 x 0.75 = $3.50

Answer:$3.5

Step-by-step explanation:

Summing all the ingredients to get the total sample size, we applied the formula for obtaining the probability which is

Pr(3) = 0.5

Given Data

Sample Space

Total Sample size = 6

Probability of identifying 3 ingredient used is

Pr(3) = 3/6

Pr(3) = 1/2

Hence the Probability is 0.5

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Answer:

1/20

Step-by-step explanation:

From Kahn

Answer:

.5 more kilometres.

Step-by-step explanation:

3600 m = 3.6 km. 4.1 is .5 greater than 3.6

Answer:

10+3i

Step-by-step explanation:

Subtract 3 and 1 which is 2, Now the equation looks like this:

(12+3i)-(2)

Multiply the negative with 2:

12+3i-2

Subtract 12 and 2:

10+3i

Answer: 10+3i

Hope this helps!

a function will not have any repeating x values...they all have to be different...they can have repeating y values, just not repeating x values.

so ur answer is : { (-1,5), (-2,6), (-3,7) }...u see how there is no repeating x values....this is a function....the other 3 are not.

a.. F'(x) = 6/5 is the derivative function for the expression f(x) = (6/5)x + 3. b. y - (9/5) = (6/5)(x + 1) is the equation of the tangent line to the graph of f at (-1, f(-1)).

a. The power rule for derivatives can be used to determine the derivative function f'(x) for the function f(x) = (6/5)x + 3. The power rule states that the derivative of a function \(f(x) = ax^n\) is given by \(f'(x) = nax^{(n-1)\).

Applying the power rule to f(x), we have:

\(f'(x) = (6/5)(1)x^{(1-1) }= (6/5)x^0 = 6/5\)

Therefore, the derivative function f'(x) for f(x) = (6/5)x + 3 is f'(x) = 6/5.

b.We must ascertain the slope of the tangent line at that location in order to ascertain the equation of the line tangent to the graph of f at (a, f(a)) for a = -1.

We are aware that the derivative of the function at that location determines the slope of the tangent line. The slope of the tangent line is also 6/5 because we discovered in part (a) that f'(x) = 6/5.

The equation of the tangent line can be expressed using the point-slope form of a linear equation as follows:

y - f(a) = m(x - a)

Plugging in the values a = -1, f(a) = f(-1), and m = 6/5, we have:

y - f(-1) = (6/5)(x - (-1))

To find f(-1), substitute x = -1 into the original function f(x):

f(-1) = (6/5)(-1) + 3 = -6/5 + 3 = 9/5

Now we can rewrite the equation of the tangent line:

y - 9/5 = (6/5)(x + 1)

This equation is in point-slope form and represents the line tangent to the graph of f(x) = (6/5)x + 3 at the point (-1, 9/5).

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Answer: i don't really know how you want me to solve it

Use the formula x =−b/2a (b over 2a)

(1 second

to find the maximum and minimum.

6t^(2 )+ 12t + 30

which should give you this answer

6(t2+2t+5)

what i did was factor 6 out of 6t^(2 )+ 12t + 30

Answer: 1 second

Step-by-step explanation:

There are two ways to solve this:

1. Graph it. You will see an inverted parabola with time (in seconds) on the x axis and height (in feet) on the y axis. The top of the parabola is point (1, 36) which means at 1 second the ball will be at 36 feet. Since the balcony is at 30 feet, the ball only goes up 6 feet before it changes direction toward the ground.

2. Take the first derivative and set it equal to zero. The first derivative will give us the slope, or rate of change, of the parabola for any point t (on the x-axis). The rate of change when the ball reaches its maximum height will be zero, when it goes from a positive value (going up) to a negative value (going down).

-6t^2 + 12t + 30

First derivative = h'(t) = -12t + 12

Set h'(t) to zero: 0 = -12t + 12

t = 1 second

Either way works. Put 1 second into the original equation and it will return 36 feet. That's 36 feet aboove ground. 6 feet above the balcony from which it is thrown. You can throw better then that, I assume.

Answer:

Number that fits in the green box is 4.

Step-by-step explanation:

Coordinates of a point P are (5, 4)

Rule for the rotation of a point (x, y) 270° counterclockwise about the origin is,

(x, y) → (y, -x)

By this rule, image of the point P(5, 4) will be,

P(5, 4) → P'(4, -5)

Therefore, number that fits in the green box will be 4.

Answer: (-4,5)

Step-by-step explanation:

i got it right ; )

The selling price of the product per unit is $230.036.

Labor = 5 hours at $15/ hour,

Factory overhead = 150% of labor,

Material costs = $25.30,

Packing cost = 15% of materials cost,

Sales commission = 20% of the selling price,

Profit = 26% of the selling price

the selling price per unit.

Labor cost = 5 x $15

                  = $75

Factory overhead cost = 150% of labor cost

                                     = 150/100 x $75

                                     = $112.50

Material cost = $25.30

Packing cost = 15% of material cost

                     = 15/100 x $25.30

                    = $3.795

Sales commission = 20% of the selling price

Profit = 26% of the selling price

Let the selling price be x.

So, Sales commission = 20% of x = 20/100 x x = 0.2x

Profit = 26% of x = 26/100 x

x = 0.26x

Total cost of production = Labor cost + Factory overhead cost + Material cost + Packing cost

                                       = $75 + $112.50 + $25.30 + $3.795

                                      = $216.545

Selling price = Total cost of production + Sales commission + Profit

x = $216.545 + 0.2x + 0.26xx - 0.26x

 = $216.545 + 0.2x - x-0.06x

= $216.545x

= $216.545 / 0.94x

= $230.036

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Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

Answer:

I think 1 and 5

Step-by-step explanation:

Answer:

it's 3/4 feet

Step-by-step explanation:

According to the statement the water depth is 0.5155 m and the bed width is 3(0.5155) = 1.5465 m.

a) Best Hydraulic Section: To calculate the best hydraulic section of the canal, we use the trapezoidal section formula;

Q = (1/n)A(R²/3)S\(\frac{1}{2}\)

where:

Q = Discharge in cubic meters per second

A = Cross-sectional area of the canal

R = Hydraulic radiusn = Coefficient of roughness of the canal bed

S = Longitudinal slope of the canal bed Given:

Length of the canal = 120,000 feddans

Irrigation water requirement = 25 m/feddan/day

Area to be irrigated = 120,000 × 4200 = 504,000,000 m²

Discharge of water to be carried = (25 × 504,000,000)/86400

= 145,833.33 m³/day

Slope of the canal bed = 0.0002

Side slope of the canal = 2:1 (H:V) = 2

Dimensions of the canal bed are bed width (b) and water depth (y).

Using the trapezoidal section formula;Q = (1/n)A(R²/3)S\(\frac{1}{2}\)

Rearranging the formula to obtain A;A = (Qn/S\(\frac{1}{2}\))(R\(\frac{2}{3}\)))

The hydraulic radius is given as;R = A/P

where;

P = b + 2y(2) = (b + 2y)/2

Therefore;

P = b + y

Using the hydraulic radius in the area formula;A = R(P – b)²/4

The formula for the hydraulic radius is then simplified to;

R = y(1 + 4/y²)\(\frac{1}{2}\)

Using the values of Q, S, n, and y in the formula for A;

A = 1.4845 y\(\frac{5}{3}\) (b + y)\(\frac{2}{3}\)

The canal bed width is three times the water depth;

b = 3y

Therefore;

A = 1.84 y\(\frac{8}{3}\)

The area formula is then differentiated and equated to zero to find the minimum area;

dA/dy = (16.224/9) y\(\frac{5}{3}\) = 0

Therefore;

y = 0.5558 m

A minimum depth of 0.5558 m or 55.58 cm is required.

Using the hydraulic radius formula;

R = y(1 + 4/y²)\(\frac{1}{2}\)

Therefore;R

= 0.5506 m

The value of P can be calculated using the bed width formula;

P = b + 2y

The canal bed width is three times the water depth;

b = 3y

Therefore;

P = 9y

Using the value of P in the hydraulic radius formula;

R = A/P

Therefore;

A = PR²

= (0.5506 m)(9 × 0.5506^2) = 2.646 m²

The water depth is 0.5558 m and the bed width is 3(0.5558)

= 1.6674 m.

b) Bed Width is three times the Water Depth:

In this case, the bed width is three times the water depth.

Therefore;

b = 3yA = (1/n)(b + 2y) y R\(\frac{2}{3}\) S\(\frac{1}{2}\)

R = y(1 + 9)^(1/2)

Using the values of Q, S, n, and y in the formula for A;

A = 2.1986 y\(\frac{5}{3}\)

The value of P can be calculated using the bed width formula;

P = b + 2y

The canal bed width is three times the water depth;

b = 3y

Therefore;

P = 9y

Using the value of P in the hydraulic radius formula;

R = A/P

Therefore;

R = 0.6172 m

The area formula is differentiated and equated to zero to obtain the minimum area;

dA/dy = (7.328/9) y\(\frac{2}{3}\) = 0

Therefore;

y = 0.5155 m

A minimum depth of 0.5155 m or 51.55 cm is required.

Using the hydraulic radius formula;

R = y(1 + 9)\(\frac{1}{2}\)

Therefore;

R = 1.732 y

Using the value of P in the hydraulic radius formula;

R = A/P

Therefore;

A = PR² = (0.5155 m)(9 × 1.732^2) = 8.4386 m²

The water depth is 0.5155 m and the bed width is 3(0.5155)

= 1.5465 m.

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The approximation M4 can be calculated as follows as M₄ = Δx * [f(m₀) + f(m₁) + f(m₂) + f(m₃)]

To use the Midpoint Rule, we first need to divide the interval [0, n] into subintervals. In this case, since n = 4, we have a total of four subintervals. The width of each subinterval is given by Δx = (n - 0) / 4 = 1.

Now, we need to calculate the midpoint of each subinterval. The midpoint of a subinterval is the average of the left and right endpoints. Let's denote the left endpoint of each subinterval as xi, where i ranges from 0 to 3. Thus, we have:

x₀ = 0 (left endpoint of the first subinterval)

x₁ = 1 (left endpoint of the second subinterval)

x₂ = 2 (left endpoint of the third subinterval)

x₃ = 3 (left endpoint of the fourth subinterval)

To find the midpoints, we add half of the subinterval width (Δx/2) to each left endpoint:

m₀ = x₀ + Δx/2 = 0 + 1/2 = 1/2

m₁ = x₁ + Δx/2 = 1 + 1/2 = 3/2

m₂ = x₂ + Δx/2 = 2 + 1/2 = 5/2

m₃ = x₃ + Δx/2 = 3 + 1/2 = 7/2

Now that we have the midpoints, we can evaluate the function at each midpoint and approximate the integral. Let's denote the function as f(x) = π * 9x * sin²(x).

Using the Midpoint Rule, the approximation for the integral is given by the sum of the areas of rectangles, where the height of each rectangle is the value of the function at the corresponding midpoint and the width is Δx.

Now, let's evaluate the function at each midpoint:

f(m₀) = π * 9 * (1/2) * sin²(1/2)

f(m₁) = π * 9 * (3/2) * sin²(3/2)

f(m₂) = π * 9 * (5/2) * sin²(5/2)

f(m₃) = π * 9 * (7/2) * sin²(7/2)

Finally, we can substitute these values into the formula for M4 and calculate the approximation by multiplying the sum with Δx:

M₄ = 1 * [f(m₀) + f(m₁) + f(m₂) + f(m₃)]

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Quantity change at a constant rate per unit interval relative to another quantity is b) For every month that passes, a savings account earns interest at a rate of 1. 5%.

a) A person drives 54 miles each day, changing the number of miles travelled at a consistent rate of 54 miles per day.

b) A savings account earns interest at a rate of 1.5% per month, with the amount of interest earned fluctuating at a constant rate of 1.5% per month.

c) A vine's length changes at a consistent rate of doubling twice every week for every week that passes, making it twice as long as it was the previous week.

d) A population of insects grows by 6% each year, and this rate of change in population size is constant at 6% annually.

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Answer:

Move all terms not containing x to the right side of the inequality. x < 9

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality. x < 9

A number is written in scientific notation when the first factor is greater than or equal to 1 and less than 10.

In Mathematics, scientific notation is sometimes referred to as scientific form or standard index form and it can be defined as a technique which is typically used for expressing numbers that are either too small or too large to be written conveniently in decimal form.

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.

As a general rule, you can only write a number in scientific notation when the first factor is written with one number before the decimal point i.e it is greater than or equal to (≥) 1 and less than (<) 10.

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Answer:

-21. -19.-17

Step-by-step explanation:

Let x be the smallest

x+2 next smallest

x+4 be the largest

4*(x) = 18+6(x+4)

Distribute

4x = 18+6x+24

Combine like terms

4x = 42+6x

Subtract 6x from each side

-2x = 42

Divide by -2

-2x/-2 = 42/-2

x = -21

x+2 = -19

x+4 = -17

Answer:

- 21, - 19, - 17

Step-by-step explanation:

Let y be the smallest no.

& y + 2 next smallest no.

& y + 4 be the largest no.

= 4 * (y) = 18 + 6 * (y + 4)

4y = 18 + 6y + 24

4y - 6y = 42

- 2y = 42

= - 21

The other 2 numbers are:

y + 2

= - 19

y + 4

= - 17

Hope this helps!

Answer:

probability of tossing a coin 3 times and getting heads each time is 1/8

Step-by-step explanation:

A coin has 2 sides (heads and tails) therefore you have a 50% chance of getting either heads or tails for each toss. Therefore, the probability of getting heads for 1 toss is 1/2. Now, tossing it 3 times and getting heads each time essentially means you would have to do (1/2)×(1/2)×(1/2) which would give you 1/8 as the probability of tossing a coin 3 times and getting heads each time.

Answer: 48 per second.

Step-by-step explanation:

First start by choosing a number. for example: 20. Then Sum The number 3 times 20 + 20 + 20 = 60. You need to get to 144 so I pass 20 and go to 30. 30 + 30 + 30 = 90. Lets pass and go to 40. 40 + 40 + 40 = 120. Its close. when Im close I Start summing 41, 42 and so on. 48 + 48 + 48 = 144. I reach to 144. So that means 48 is the answer.

Hope Is it correct!

-Mrs.Egg :3

The figure that is part of ray AB is BA (ray). It represents the portion of the line that extends infinitely in the direction from point B towards point A.

Among the given choices, the figure that is a part of ray AB is BA (ray).

In geometry, a ray is a part of a line that has one endpoint and extends infinitely in one direction.

In this case, the ray AB would start at point A and extend infinitely in the direction of point B.

Similarly, the ray BA would start at point B and extend infinitely in the direction of point A.

So, the figure that is part of ray AB is BA (ray). It represents the portion of the line that extends infinitely in the direction from point B towards point A.

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Answer:

The dolphin is -8 feet below sea level

Step-by-step explanation:

Start a -3 feet below sea level. Then subtract the -9 from when the dolphin dives. Then add the +4 feet. And you'll get -8. Hope this helps:)

The dolphin’s final elevation relative to sea level will be -8 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a dolphin is swimming 3 feet below sea level. It dives down 9 feet to catch some fish. Then the dolphin swims 4 feet up toward the surface with its catch.

The elevation of the Dolphin is:-

Elevation = -3 - 9 + 4

Elevation  = -8 feet

Therefore, the dolphin’s final elevation relative to sea level will be -8 feet.

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MEAN: =29.42

THE MEDIAN:

\((29 + 36) \times \frac{1}{2} = 32.5\)

that's my answer hope it helps

Answer:

46878954575

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

1/2×base×height=ar(abc)

1/2×8x8=32

Answer:It is true

Step-by-step explanation:

The appropriate level of precision for the scale depends on the smallest unit of measurement it can accurately determine. In this case, the scale measures weight to the nearest 0.5 lb.

A. 140 lbs. : This measurement is rounded to the nearest whole number and does not account for the scale's precision. It does not show an appropriate level of precision. B. 148.75 lbs.: This measurement includes decimal places that the scale cannot accurately determine. It exceeds the precision of the scale and does not show an appropriate level of precision. C. 140.5 lbs: This measurement falls within the precision of the scale. It accounts for the nearest 0.5 lb increment and shows an appropriate level of precision. D. 141 lbs: This measurement is rounded to the nearest whole number and does not account for the scale's precision. It does not show an appropriate level of precision.

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