Suppose someone wants to accumulate $55,000 for a college fund over the next 15 years. Determine whether the following imestment plans will allow the person to reach the goal. Assume the compounding and payment periods are the same. The person deposits $150 per month into an account with an APR of 5%. Will the person meet the goal? Select the contect choice betow and fin in the answer box to complete your choice. (Round the thal answer to the nearest cent as needed Round all intermediate values to six decimal places as needed) A. No, because the amount that will be in the college fund, 3 is less than the goal of $55,000 B. Yes, because the amount that will be in the college fund, 1 is more than the goal of 555,000 .

Answer:

7 is timed by 3 to get 21

So times 4 to get the numerator

Answer-4/7 = 12/21

The value of the equation 3d/ac x 2ad/30 is ( d² / 5c )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = 3d/ac x 2ad/30   be equation (1)

On simplifying the equation , we get

A = 3d/ac x 2ad/30  

A = 6ad² / 30ac

On further simplification of the equation , we get

The value of A = 1/5 ( ad² / ac )

The value of A = 1/5 ( d²/c )

Therefore , the value of A is  ( d² / 5c ) or A = 1/5 ( d²/c )

Hence , The value of the equation 3d/ac x 2ad/30 is ( d² / 5c ) or

A = 1/5 ( d²/c )

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For the given function F.(0, 1)^3 ➙ (0, 1)^3, where f(x) is obtained by replacing the last bit from x with 1, then  f(111) is (1,1,1).

Since here  the  function replaces the last bit  of the input with 1. so  for any input value x =(x1,x2,x3) ∈ (0,1)^3, here we have  f(x)= (x1,x2,1).For a particular case that is provided to us: where for x =(1,1,1), we have f(1,1,1) =(1,1,1).

Now since we are given the condition that since f replaces the last of 111 with 1, the last bit of 111 is already 1,  so the value of f(111) is (1,1,1).

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Answer:

y=-3/4x

Step-by-step explanation:

the form is "y=mx(+/-b). m is slope. b is y-intercept.

Answer:

Hope this helps!

Step-by-step explanation:

Point Form:

(1,2)

Equation Form:

x = 1 , y = 2

Answer:

no lol im too lazy

Step-by-step explanation:

give me brain

Answer:

x = 9/10.

Step-by-step explanation:

0.5(4x + 9) = 3x * 7/3

2x + 9/2 = 3x * 7/3

2x + 9/2 = 7x

5x = 9/2

x = 9/10.

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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Answer: SHOW THE TABLE PLZ and then i can answer. I don't know what this is.

Step-by-step explanation:

Answer:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

The velocity of the particle at time t is given by v(t) = (2t² + 1)i + (3t² - 1)j + (tk + 1)k, where t is the time. It represents the motion of the particle in three-dimensional space.

To find the velocity of the particle at time t, we need to integrate the acceleration vector with respect to time.

To find the velocity vector v(t), we integrate each component of the acceleration vector:

∫a(t) dt = ∫(4ti + 6tj + k) dt

Integrating each component separately:

∫(4ti) dt = 2t²i + C₁

∫(6tj) dt = 3t²j + C₁

∫k dt = tk + C₃

where C₁, C₂, and C₃ are constants of integration.

Combining the integrals, we have:

v(t) = (2t² + C₁)i + (3t² + C₂)j + (tk + C₃)k

Given that v(0) = i - j + k, we can substitute t = 0 into the velocity equation:

v(0) = (2(0)² + C1)i + (3(0)² + C₂)j + (0k + C₃)k

i - j + k = C₁i + C₂j + C₃k

Comparing the coefficients, we get:

C₁ = 1

C₂ = -1

C₃ = 1

Substituting these values back into the velocity equation:

v(t) = (2t² + 1)i + (3t² - 1)j + (tk + 1)k

Therefore, the velocity of the particle at time t is given by:

v(t) = (2t² + 1)i + (3t² - 1)j + (tk + 1)k

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5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

Answer:

y = \(4^{x+1\)

Answer:

maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation:

The given piecewise-defined function is:

It is required to graph the function.

To do this, graph each piece with respect to the corresponding domain.

Graph g(x)=2 over x<-1:

Notice that an open circle is at x=-1 since it is not included in the interval x<-1.

Graph g(x)=3 for x=-1. This is just a point:

Finally, graph g(x)=-1 for x>-1:

There is an open circle at x=-1 since it is not included in the interval x>-1.

Thus, the required graph of the piecewise-defined function is shown below:

If Neil uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend , then the number of 41 cent stamp used is 3  and number of 6 cent stamps used is 12 .

Let number of 41 cents stamps used be = x ;

and let number of 6 cents stamps used be = y ;

converting amount 41-cents in dollars is = $0.41  ;

and converting amount 6-cents in dollars is = $0.06  ;

the amount for which Neil used 41-cent stamps , 6-cent stamps is = $1.95 ;

this situation in equation form is written as ⇒ 0.41x + 0.06y = 1.95

Multiplying on both sides by 100 , we get

⇒ 41x + 6y = 195  ;

⇒ y = (195 - 41x)/6 ;

We will test this equations for values of x and y , the number of stamps must be whole numbers .

If x = 1 , then value of y is = 25.66

If x = 2 , then value of y is = 18.833

If x = 3 , then value of y is = 12

If x = 4 , then value of y is = 5.166 .

the only value of x and y which shows a whole number as an output is : If x = 3 , then y = 12 .

Therefore , Neil used "3" 41-cents stamps and "12" 6-cent stamps .

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Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \(\frac{0-3}{4-0}\) = \(\frac{-3}{4}\) = - \(\frac{3}{4}\)

The y- intercept is where the line crosses the y- axis

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

(b)

y = - \(\frac{3}{4}\) x + 3 ← equation of line

Answer: a= -9

Step-by-step explanation:

a+ (−4) = −13

a - 4 = -13 (the 4 becomes -4 as when it comes to + or - it is always -)

    a = -13 +4  (when you switch the side -4 becomes +4)

    a= -9

Answer:

3.80

Step-by-step explanation:

Answer:

3.801

Step-by-step explanation:

Divide and move your decimals.

an exterior angle is formed when a side of a polygon is extended, and it is equal to the sum of the measures of the two adjacent interior angles. The Exterior Angle Theorem can be used to find the measures of interior angles of polygons.

The angle formed outside a polygon by extending one of its sides is known as an exterior angle. An exterior angle is formed when a side of a polygon is extended, and the angle formed at the vertex where the side was extended is an exterior angle.

For example, let's consider a triangle. If we extend one of its sides, we form an exterior angle at the vertex where the side was extended. The exterior angle is the angle formed by the extension of the adjacent side and the original side.

The measure of an exterior angle of a polygon is equal to the sum of the measures of the two interior angles that are adjacent to it. In other words, if we add the measures of the two interior angles adjacent to an exterior angle, we get the measure of that exterior angle. This is known as the Exterior Angle Theorem.

The Exterior Angle Theorem can be used to find the measures of interior angles of polygons. For example, if we know the measure of an exterior angle of a regular polygon, we can use the theorem to find the measure of each interior angle.

In summary, an exterior angle is formed when a side of a polygon is extended, and it is equal to the sum of the measures of the two adjacent interior angles. The Exterior Angle Theorem can be used to find the measures of interior angles of polygons.
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Complete question:- What angle is formed outside the polygon by extending one side of the polygon?

Answer:

slope= - 9/4    yintercept 0,2

Step-by-step explanation:

Answer:

slope = - \(\frac{9}{4}\) , y- intercept = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide terms by 4 )

y = - \(\frac{9}{4}\) x + 2 ← in slope- intercept form

with slope m = - \(\frac{9}{4}\) and y- intercept c = 2

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

\(A = \sqrt{s * (s - a) * (s - b) * (s - c)\)

This gives

\(A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)\)

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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Answer:

Option A: \(\dfrac{56.52}{18}\)

Step-by-step explanation:

Circumference of a circle is given by the formula
C = πd

where d = diameter of the circle

Given
C = 56.52

d= 18 feet

56.52= 18π

\(\pi = \dfrac{56.52}{18}\)

This is option A

If you were every in doubt about the correct answer, all you have to know is that the value of π = 3.14

C and D have ratios less than 1

B has a ratio of approx 6

A has  a ratio close to 3

The standard deviation of a numerical data set measures the variability of the data. It is a widely used measure in statistics that helps to determine how spread out the values are within a given data set.

By calculating the standard deviation, we can better understand the range and distribution of values in the data set, as well as identify potential outliers. This measure is particularly important in fields such as finance, science, and engineering, where understanding the variability in data can be crucial for making informed decisions and predictions. So, the most appropriate term that makes the statement true is D: variability.

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The bag of potatoes weighs 40 pounds.

The problem can be solved using algebraic equations. Let x be the weight of the bag of potatoes. The problem states that the weight of the bag is equal to 50 divided by half of its weight, or 50/(x/2). We can set up the equation:

x = 50/(x/2)

Multiplying both sides by x/2, we get:

x^2/2 = 50

Multiplying both sides by 2, we get:

x^2 = 100

Taking the square root of both sides, we get:

x = ±10

Since the weight of the bag cannot be negative, we take the positive value, which is x = 10. Therefore, the bag of potatoes weighs 40 pounds (50 divided by half of 40 is equal to 40).

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Two participating teams each receive 7 litres of water for an outdoor activity on a certain day .The two teams have 83/12 liters of water left at the end of the day.

To find out how many liters of water the two teams have left at the end of the day, we need to subtract the amount of water used by each team from the initial amount of water they received.

Initial amount of water given to each team = 7 liters

Amount of water used by the first team = 4 3/4 liters

Amount of water used by the second team = 2 1/3 liters

To subtract mixed numbers, we need to convert them into improper fractions:

4 3/4 = (4 * 4 + 3) / 4 = 19/4

2 1/3 = (2 * 3 + 1) / 3 = 7/3

Now, let's calculate the remaining water:

Total water used by the two teams = (19/4) + (7/3) liters

To add fractions, we need a common denominator. The common denominator for 4 and 3 is 12.

(19/4) + (7/3) = (19 * 3 + 7 * 4) / (4 * 3)

= (57 + 28) / 12

= 85/12

Now, we subtract the total water used by the two teams from the initial amount of water:

Total water remaining = (2 * 7) - (85/12) liters

Multiplying 2 by 7 gives us 14:

Total water remaining = 14 - (85/12) liters

To subtract fractions, we need a common denominator. The common denominator for 12 and 1 is 12.

Total water remaining = (14 * 12 - 85) / 12 = (168 - 85) / 12 = 83/12

Therefore, the two teams have 83/12 liters of water left at the end of the day.

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Answer:

Number = 12

Step-by-step explanation:

2n-7=n+5 (+7 to both sides)

2n=n+12 (-n to both sides)

n=12

Answer:

23°

Step-by-step explanation:

13x + 154 = 180

13x = 26

x =2

~~~~~~~~~~~~

6(2) + 11

12+11 =23