nt
P(1 + 1) ht
Formula: A = P
Solve the problem by answering the following questions:
An initial investment of $5575 is appreciated for 12 years in an account that earns 3.25%
interest, compounded semiannually. Find the amount of money in the account at the end
of the period.
i. What does each of these variables represent:

Answers

Answer 1

The amount of investment will be $8183.24 after compound interest.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, an initial investment of $5575 is appreciated for 12 years in an account that earns 3.25% interest, compounded semiannually.

The compounded amount will be calculated as:

A = 5575 ( 1 + 0.0325 )¹²

A = 5575 × 1.4678

A = $8183.24

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Related Questions

How do you find the slope and y-intercept of a graph?

Answers

The slope and y-intercept of a graph can be determined by examining the equation of the line.

The slope is the coefficient of the x-term (the number next to x in the equation) and the y-intercept is the number that the line crosses the y-axis (the constant in the equation). For example, if the equation of a line is y = 2x + 5, then the slope is 2 and the y-intercept is 5. To graph the line, you can use the slope and y-intercept. Start at the y-intercept and move up or down the number of units indicated by the slope. For example, if the slope is 2, move two units up or two units down and plot a point. Repeat this process until the graph is complete.

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this type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.

Answers

As per the concept of survey, Nonresponse is the type of bias that happens when individuals with certain characteristics are less likely to respond to surveys than others.

What is the working process of survey?

In general terms, survey refers a set of questions people are asked to gather information or find out their opinions, or the information gathered by asking many people the same questions.

Here we need to find the type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.

As we know that, when respondents to a survey question or the entire survey are unable or unwilling to respond, this is known as nonresponse bias. Individuals have many excuses for not responding and a cause of error must be systematic in order to be categorized as biased.

Here the distinction between respondents and non-respondents frequently plays a role in explaining why there was no response.

Therefore,  Non-response bias, also known as participation bias, is sometimes the result of shoddy survey design and poor questionnaire targeting.

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two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000

Answers

The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000

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What is the equation of a line that passes through 1 2 and is perpendicular to the given line?

Answers

The equation of the line that passes through (1,2) and is perpendicular to the given line is y = -x + 3 with slope 2.

Given line: y = 2x - 1

We know that two lines are perpendicular if their slopes are negative reciprocals of each other.

The provided line's slope is m1 = 2.

Therefore, slope of the line that passes through (1,2) and is perpendicular to the given line = m2 = -1/2

Now, we can use the point-slope equation of a line to find the equation of the line:

y = -x + 3

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45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. a) what percent of those who have a dog also have a cat? b) what percent of those who have a cat also have a dog?

Answers

(a) the percent of those  who have a dog also have a cat is  40% .

(b) the percent of those who have a cat also have a dog is  60% .

In the question ,

it is given that ,

the percent of children who have a dog = 45% ,

the percent of children having cat = 30%

the percent of children having dog and cat = 18% ,

Part(a)

the percent of children that have a dog also have a cat is

= (number of children that have dog and cat)/(number of children having dog)

= 18/45

= 0.4 = 40% .

Part(b)

the percent of children that have a cat also have a dog is

= (number of children that have dog and cat)/(number of children having cat)

= 18/30

= 0.6 = 60% .

Therefore , the required percent for part(a) is 40% and part(b) is 60% .

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Which of the following equations has the solutions shown in the graph?
-5-4-3-2
7
n
2
w
+
&
a.
y=x²-3x+ 2
b. y=x²+2x-3
1 23 4
C. y=x²+x-6
d.
y=x²-x-6

Answers

Answer: can you provide the graph so i can give an answer?

Step-by-step explanation:

when multiplied it equals -32 but when added it equals -4

Answers

Answer: -8 and 4 or 16 and 2

Step-by-step explanation:

A pair of integers that satisfies the given conditions is -8 and 4.

When multiplied, the product of -8 and 4 is -32. When added, the sum of -8 and 4 is -4. Therefore, -8 and 4 are a pair of integers that satisfies the given conditions.

To verify this solution, we can multiply -8 and 4 to get -32, and then add -8 and 4 to get -4. This confirms that -8 and 4 are a valid solution to the problem.

It is also possible to find other pairs of integers that satisfy the given conditions. For example, another pair of integers that satisfies the given conditions is -16 and 2. When multiplied, the product of -16 and 2 is -32. When added, the sum of -16 and 2 is -4. Therefore, -16 and 2 are another pair of integers that satisfies the given conditions.

write the standard form of the equation of each line given the slope and y-intercept
slope= -¼ y-intercept = 0
slope= -1 y-intercept = -2
slope = -1 y- intercept= -1
slope= -2 y-intercept= 0​

Answers

1) y = -1/4x
2) y = -1x - 2
3) y = -1x - 1
4) y = -2x

what is 75 divided by 688

Answers

The answer to this problem is 0.113

Answer: 0.109011627907

Step-by-step explanation:75 divided by 688 =0.109011627907

Write an equation of a line in lope intercept form that pae through (1,5) and i parallel to y=4x2

Answers

The equation of the line is y = 4x + 9

Given,

The points; (x₁, y₁) = (1, 5)

The line is parallel to, y = 4x - 2

Here,

The line given is in the Slope Intercept Form

y = mx + b

y = 4x - 2

Parallel Lines have the same slope

So,

Slope, m = 4

Then,

y = 4x + b

Since it passes through point p(1, 5) we can use these coordinates to solve for b

5 = -4 + b

Solve for b

9 = b

Therefore, the equation of the line;

y = 4x + 9

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Given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.
True
False

Answers

It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.

The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.

A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

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100 POINTS HELP ME PLEASE ILL GIVE BRAINLIEST ASAP

Answers

Answer:

B

Step-by-step explanation:

Do old total minus the new total to get the difference then divide by old to total.

The correct answer would be (B).

Find the slope on the graph.

Answers

Answer:

-1/2

Step-by-step explanation:

Rise/Run

Answer: 1/2

Because it’s a positive slope

Yaritza runs a farm stand that sells peaches and grapes. Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75. Yaritza made $225 from selling a total of 75 pounds of peaches and grapes. Graphically solve a system of equations in order to determine the number of pounds of peaches sold, x, and the number of pounds of grapes sold, y.

Answers

The amounts of each substance are given as follows:

Peaches: 45 pounds. Grapes: 30 pounds.

How to solve the system of equations graphically?

The graphic solution of a system of equations is given by the point of intersection of the equations that compose the system.

The variables that define the system in this problem are given as follows:

Variable x: number of pounds of peaches sold.Variable y: number of pounds of grapes sold.

Yaritza sold a total of 75 pounds of peaches and grapes, hence:

x + y = 75.

Each pound of peaches sell for $2.50 and each pound of grapes sells for $3.75, and she made $225, hence:

2.5x + 3.75y = 225.

As given by the image at the end of the answer, the intersection of these two equations in the graph is given as follows:

(45, 30).

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An airplane descends at a rate of 25 feet per minute. What is the airplane's change in
altitude after 10 minutes? Interpret the product.

Answers

Answer:

-250 feet

Step-by-step explanation:

-25x10=-250

Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.

Answers

Answer:

If the video game that Ethan bought usually costs $39.99, and it was on sale for 20% off, then the discount on the game would be $39.99 x 20/100 = $8.00. To determine the final price of the game after the discount, we can subtract the discount from the original price of the game, which gives us:

Final price = $39.99 - $8.00 = $31.99

Therefore, Ethan paid $31.99 for the video game that was on sale. This can be rounded to the nearest cent to give us a final answer of:

Final price = $31.99 ≈ $32.00.

Therefore, Ethan paid $32.00 for the video game that was on sale.

Step-by-step explanation:

Find the value of sin U rounded to the nearest hundredth, if necessary.
26
24
W
10

Answers

The value of sin U of the right triangle is as follows:

sin U = 12 / 13

How to find the side or angle of a right triangle?

A right angle triangle are triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the angles position. The sides of a right triangle are as follows:

opposite sideadjacent sidehypotenuse side

The angles and side of a right triangle can be found using trigonometric ratios as follows:

sin U = opposite / hypotenuse

where

opposite side = 12

hypotenuse side = 13

Hence,

sin U = 12 / 13

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i need help with my Math homework please​

Answers

Answer: I may not be much of a help, but....

Step-by-step explanation: Count up each year by 2%, and then do the rounding! I really do hope this helps!

Answer:

Step-by-step explanation:

per year=2%5 years=10%6 years=12%7 years=14%8 years=16%    

So basically ur adding  2 % every year.

The histogram summarizes the percentage of people in each state and the District of
Columbia who identify as Hispanic or Latino. Use the drop-down menus to describe the
distribution of percentages shown in the histogram.
Is the answers that I chosen are correct? Pls Help Me

Answers

Answer:

skewed to the right

40.1

49.9

Step-by-step explanation:

the largest possible range is the largest number from the largest margin minus the smallest number from the smallest margin

(49.9-0=49.9

the smallest possible range is the smallest number from the largest margin minus the largest number from the smallest margin

(45.0-4.9=40.1)

If a rectangle is 11 feet long and 5 feet wide, what is its area in square feet?.

Answers

Answer: 55 square feet

Step-by-step explanation:

To find area:
Length * Width

11 * 5 = 55

Answer: 55 sq. feet

explanation : 5 x 11 is 55, so 55 square feet

Solve the equation 4x + 7y = 11 for y.

y equals the quantity 4 times x plus 11 end quantity over 7
y equals the quantity negative 4 times x plus 11 end quantity over 7
y equals negative 4 times x plus 11 over 7
y equals negative 4 over 7 times x plus 11

Answers

The solution is Option B.

The value of y of the equation 4x + 7y = 11 is y equals the quantity negative 4 times x plus 11 end quantity over 7

y = ( -4x + 11 ) / 7

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

4x + 7y = 11   be equation (1)

On simplifying the equation to solve for y , we get

Subtract 4x on both sides of the equation , we get

7y = 11 - 4x

Divide by 7 on both sides of the equation , we get

y = ( 11 - 4x ) / 7

So , on simplifying the equation , we get

y = ( -4x + 11 ) / 7

Therefore , the value of y is ( -4x + 11 ) / 7

And , y equals the quantity negative 4 times x plus 11 end quantity over 7

Hence , The value of y of the equation 4x + 7y = 11 is y equals the quantity negative 4 times x plus 11 end quantity over 7

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A person carries a mass of 10 kg and walks along the +x-axis for a distance of 100m with a constant velocity of 2 m/s. What is the work done by this person?.

Answers

Work done by the person for the displacement of 100m along +x-axis with constant velocity and mass of 10kg is equal to 0Joule.

As given in the question,

Mass of a person 'm' = 10kg

Displacement of the person while walking along +x axis 'd'= 100m

Constant velocity = 2m/s

Let 'w' be the work done by the person

Work = Force × Displacement

Force = mass × acceleration

Acceleration = (final velocity - initial velocity)/ total time taken

Here, Constant velocity ⇒final velocity - initial velocity = 2- 2

                                                                                      = 0m/s

⇒Acceleration = 0m/s²

⇒Force = 10 × 0

             = 0Kgm/s²

⇒Work done = 0 × 100

                     = 0 Joule

Therefore, work done by the person for the given displacement, velocity, and mass is equal to zero Joule.

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What is her monthly cost?

Answers

Answer: Juana's monthly cost is .05 per text. Tonya's is .5 per text. The correct answer to your question is Tonya pays $20 for 150 messages because that is not true

Step-by-step explanation:

Bilquis owns a food truck that sells tacos and burritos. She sells each taco for $4 and each burrito for $6.25. Bilquis must sell a minimum of $630 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.

Answers

The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold is 4t + 6.25b ≥ 630.

What inequality that could represent the possible values for the number of tacos sold?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold will be:

4(t) + 6.25(b) ≥ 630.

4t + 6.25b ≥ 630.

Therefore, the inequality is 4t + 6.25b ≥ 630..

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What is the solution to the system of equations y 3x 2 5x 2y 15?

Answers

The solution of the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55)

The first equation is

y = -3x - 2

The second equation is

5x + 2y = 15

To solve this problem we have to use the substitution method

Substitute the value of y = -3x - 2 in the second equation 5x + 2y = 15

5x + 2(-3x -2) = 15

5x - 6x - 4 = 15

-x - 4 = 15

-x = 15 + 4

-x = 19

x = -19

Substitute the value of x in the first equation

y = -3x - 2

y = -3(-19) - 2

= 57 - 2

= 55

Therefore, the solution of the system of equation is (-19, 55)

I have solved the question in general, as the given question is incomplete

The complete question  is

What is the solution to the system of equations

y = -3x - 2 and 5x + 2y = 15

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Rent-An-Suv charges an $80 fee to rent a truck and $12 per mile. Another
rental company charges a $150 fee to rent a truck and $8.50 per mile. The
two rental companies will cost the same amount at how many miles?

Answers

Answer:

The two rental companies will cost the same amount at 20 miles.

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

Let the number of miles be x.

Then we have the following equation:

80 + 12x = 150 + 8.5x, Here the LSH is representing total for one company and the RHS - for the second company.

Solve it for x:

12x - 8.5x = 150 - 803.5x = 70x = 70/3.5x = 20

What value of x makes the equation 52(x−2)​=4 true?

Answers

Answer:

To solve for the value of x that makes the equation 52(x−2)=4 true, we need to first isolate the x term on one side of the equation. We can do this by dividing both sides of the equation by 52 to get rid of the coefficient in front of the x term.

Dividing both sides of the equation by 52, we get:

52(x−2) = 4

(x−2) = 4/52

(x−2) = 1/13

Next, we can add 2 to both sides of the equation to isolate the x term on the left side of the equation.

(x−2) + 2 = 1/13 + 2

x = 1/13 + 2

x = (1/13) + (2/1)

x = (13+26)/13

x = 39/13

Therefore, the value of x that makes the equation 52(x−2)=4 true is x = 39/13.

Step-by-step explanation:

when a single card is drawn from a standard 52-card deck, what is the probability that it will be a king or a diamond?

Answers

The probability that it will be a king or a diamond is 4/13

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

There are 52 cards, of which 4 are kings.

There are 52 cards, of which 13 are diamonds.

But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.

So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.

There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.

Hence, the probability that it will be a king or a diamond is 4/13.

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Solve using elimination. –x − 7y = –20 –6x − 7y = –15

Answers

Answer:

x = −1 and y = 3

Multiply the second equation by -1, then add the equations together.

(−x−7y=−20)

−1(−6x−7y=−15)

Becomes:

−x−7y=−20

6x+7y=15

Add these equations to eliminate y:

5x=−5

Then solve5x=−5for x:

5x=−5

5x/5 = -5/5

x = -1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−x−7y=−20

Substitute−1 for x in −x −7y = −20:

−(−1)−7y=−20

−7y+1=−20(Simplify both sides of the equation)

−7y+1+−1=−20+−1(Add -1 to both sides)

7y = -21

-7y/-7 = -21/-7

y=3

a ball of radius 16 has a round hole of radius 5 drilled through its center. find the volume of the resulting solid.

Answers

The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

Given that,

A circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

We have to determine the resulting solid's volume.

We know that,

Volume of the original ball= 4/3πr³

Radius r=16

Volume v₁=4/3π(16)³ = 16384π/3

Volume of hole = 4/3πr³

Radius r=5

Volume v₂=4/3π(5)³ = 500π/3

Volume of the resulting solid = v₁-v₂

= 16384π/3 - 500π/3

= 15882π/3

= 16623

Therefore, The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

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