Mr. Christopher contributed #500 to a business, Miss Uche contributed #300 while Mrs. Amaka contributed #200. First the share of Mr. Christopher if they share a profit #2000 according to the amount contributed.

Answers:

(a)    $1092.03

(b)    $1093.08

===========================================

Work shown for part (a)

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.09/2)^(2*1)

A = 1000*(1+0.045)^(2)

A = 1000*(1.045)^(2)

A = 1000*1.092025

A = 1092.025

A = 1092.03

Don't forget to round to the nearest penny, aka nearest hundredth.

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

Work shown for part (b)

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.09/4)^(4*1)

A = 1000*(1+0.0225)^(4)

A = 1000*(1.0225)^(4)

A = 1000*1.09308331878906

A = 1093.08331878906

A = 1093.08

The graph does not represent a function, because is is possible to draw a vertical line that intersects the graph more than once.

An infinite number of nodes or vertices and the connecting edges make up a graph, which is a type of non-linear data structure. When dealing with real-world issues, graphs in data structures are used because they model the issue as a network, similar to social networks, telephone networks, and circuit networks.

In a telephone network, for instance, it might depict a single user as nodes or vertices, with the telephone line connecting them as edges.

The non-linear type of data structure known as a graph is composed of nodes, also known as vertices and edges. In a graph, the nodes, which are also referred to as vertices, are connected by edges.

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Answer:

Step-by-step explanation:

?

|z|^2 = |z|*|z| = (|z|)^2

Since the argument of z is pi/4, z can be written as z=r*(cos(pi/4)+i*sin(pi/4)) where r is the magnitude of z.

We also know that |x-w| =sqrt(5).

This means that |z-w| = sqrt(5).

Substituting the expression for z, we get:

|r*(cos(pi/4)+i*sin(pi/4))-w| = sqrt(5)

Simplifying this equation, we get:

|r-2-i| = sqrt(5)

Squaring both sides, we get:

(r-2-i)(r-2+i) = 5

Simplifying, we get:

r^2-4+i(2r-2)=5

Equating the real and the imaginary parts, we get:

r^2-4 = 5

and

2r-2=0

Solving these equations simultaneously, we get:

r = sqrt(9)

Therefore,

|z| = sqrt(9)

Hence,

|z|^2 = (sqrt(9))^2 = 9

The boat and the whale are about 218.5 miles apart.

Using the Pythagorean theorem to calculate the distance between the boat and the whale.

Let's call the distance between the boat and the whale "d" and the time they moved apart "t".

1st movement:

d = 45t

2nd movement:

d = (45t + 25(t+35))²

To calculate the final distance, we need to square d from the second movement and add the result from the first movement.

d² = (45t)² + (25(t+35))²

We know that the boat and the whale were moving apart for 35 minutes and 25 minutes, so we can substitute t = 35 and t = 25 in the equation.

d² = (4535)² + (2560)²

Taking the square root of the result and get the final distance between the boat and the whale.

d =  ([tex]\sqrt{4535 ^{2} +2560^{2} }[/tex])

d ≈ 218.5 miles

Hence, the boat and the whale are about 218.5 miles apart.

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The equation of the line that passes through the points ( − 1 , − 5 ) and (1, 3) is y = 4x - 1

The slope, m of the linear function is calculated using the points on the graph (-1, -5) and  (1, 3)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-5 - 3) / (-1 - 1)

m = (-8) / (-2)

m = 4

equation passing through point (1, 3)

(y - y₁) = m (x - x₁)

plugging in the points

y - 3 = 4 * (x - 1)

y - 3 = 4x - 4

y = 4x - 4 + 3

y = 4x - 1

The equation of the line passing through points  (-1, -5) and  (1, 3) is written as y = 4x - 1

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Answer: The result of the exercise is BRL 15.00

Step by step explanation:

To find the total value, simply multiply the number of sheets and the price per copy.

[tex]\sf{ \bold{30 * 0.50} ={\boxed{\bold{15 \: \: real}}} }[/tex]

Rpt: The result of the exercise is BRL 15.00

A scale drawing is a representation of an object or space that is reduced or enlarged in proportion to the actual object or space. In this case, the scale of the drawing is 1 unit = 1 foot. To find the dimensions of the scale drawing, we need to divide the actual dimensions of the room by the scale of the drawing.

The actual dimensions of the floor are 450 feet by 20 feet.

So, the dimensions of the scale drawing are:

450 feet / 1 unit = 450 units (length)

20 feet / 1 unit = 20 units (width)

Therefore, the dimensions of the scale drawing are 450 units by 20 units. So, the scale drawing is 450 by 20.

Answer:

To the nearest dollar, Savannah would have $8,007 more in her account than Lincoln.

Step-by-step explanation:

To find out how much more money Savannah would have in her account than Lincoln after 20 years, we need to calculate the future value of both investments using the appropriate interest rate and compounding period.

For Lincoln's investment:

Future value = $6,500 * (1 + (3^3/4/100) / 4)^(4*20) = $6,500 * (1 + 0.046875)^80 = $6,500 * 2.611 = $16,917.50

For Savannah's investment:

Future value = $6,500 * e^(0.041875*20) = $6,500 * 3.843 = $24,924.50

To find the difference between the two investments, we can subtract Lincoln's future value from Savannah's:

$24,924.50 - $16,917.50 = $8,007

To the nearest dollar, Savannah would have $8,007 more in her account than Lincoln.

Answer: Tina has read 16 pages and reads 22 pages per day until the book is finished.

Zuri has read 24 pages and reads 18 pages per day until the book is finished.

We can use this information to set up an equation to represent the number of pages read by each student over a certain number of days.

Let's call the page number they are on when they read the same amount of the book "p"

We can set up the equation as follows:

16 + 22d = 24 + 18d = p

Now we can solve for p by combining like terms:

16 + 22d = 24 + 18d

4d = 8

d = 2

Now we know that it takes 2 days for Tina and Zuri to read the same amount of the book.

Now we can use this value of d to find out what page they are on when they read the same amount of the book.

p = 16 + 22*2 = 16 + 44 = 60

So Tina and Zuri are on page 60 when they have read the same amount of the book.

Step-by-step explanation:

Answer:

a)  The product of any two odd integers is an odd integer.

b)  The sum of two negative integers is always smaller than the smallest negative integer.

Step-by-step explanation:

Given:

Carry out a few examples to find a pattern:

Pattern:

Write the conjecture based on the found pattern.

Conjecture:  

Test the conjecture for accuracy using at least three sets of numbers.

Test:

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

Given:

Carry out a few examples to find a pattern:

Pattern:

Write the conjecture based on the found pattern.

Conjecture:  

Test the conjecture for accuracy using at least three sets of numbers.

Test:

Answer:

2× radius of the circle

Step-by-step explanation:

The line segment joining two points on the circle and passing through the centre is the diameter.

Answer:

The answer is b.

Step-by-step explanation:

For first row first column=18+72+10=100

For first row second column=-9+48-7=32

For first row third column=27-96+7=-62

Repeat this for the rest.

Hope this helps you.

The slope of the given  linear relationship is; 4/5

Slope tells us that a unit change in x, which  is the independent variable will result in a change in y by the amount of b. Thus;

slope = change in y/change in x

Slope = rise/run.

In terms of two coordinates, the slope can be  expressed as;

slope = (y₂ - y₁)/(x₂ - x₁)

From the graph attached, we are given the two coordinates as;

(-3, -2) and (2,2)

Thus;

Slope = (2 - (-2))/(2 - (-3))

Slope = 4/5

This is the slope of the linear relationship.

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Answer: x+y=7, x+3=y

Step-by-step explanation:

Answer:

me I would guess

Step-by-step explanation:

like break it down step by step or just buy answers

Usain's speed in miles per hour is 22.72 mph.

Speed = Distance/Time

Distance = Speed X Time

Time = Distance / Speed

Given:

Usain run 100 yards in 9 sec.

So, he can 1760 yards in

= 9/100  x 1760

= 158.4 sec

As, his speed in yards/ sec= 100/9

So, 1760 yard= 1 mile and 3600 sec = 1 hour

Now, the speed in miles per hour

= 100/ 9 x 3600/1760

= 100/9 x 2.045

= 22.72 mph

Hence, the speed is 22.72 mph.

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The square roots of 144 are:

A. 24

D.144 ^1/2

F.12

144 is a perfect square, so the square root of 144 is a positive and negative value of 12, 24 and 144^1/2.

Option B 6 and C -12 are not square roots of 144 because 6^2 = 36 and -12^2 = 144 .

Option E -144^1/2 is not a real number, because the square root of a non-negative number is always non-negative.

The single fraction is 7x/20

A fraction can be defined as the part of a whole variable, number or element.

The different types of fractions are;

Algebraic expressions are mathematical expressions consisting of terms, coefficients, variables, factors and constants.

They are made of operations such as multiplication, addition, subtraction, division, etc

Given the expression;

3/4x - 2/5x

Find the LCM

15x - 8x/20

7x/20

Thus, the value is 7x/20

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Answer:

7v^10

Step-by-step explanation:

The slope intercept equation of the line that is perpendicular to 4x+2y+18=0 and has a y-intercept of the line 3x-y+8=0 is x-2y+16=0.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

4x+2y+18=0

y=-2x-9

m=-2

m1=1/2

3x-y+8=0

y=3x+8

y-intercept=(0,8)

y=mx+c

y=1/2x+8

2y=x+16

x-2y+16=0

The equation of the line, in slope intercept form, that is perpendicular to 4x+2y+18=0 and has a y-intercept of the line 3x-y+8=0 is x-2y+16=0.

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For 1, since the exponential decay formula is a*(1-r)^x, a is still the same as the base value and r would replace 1-r with r being the decay rate, so r would be 1-the decay rate.

For 2, applying that formula, getting 52500*(1-2.5%)^10 (because it's for 10 years and compounded annually). Since 100% is 1, 2.5% is 0.025, and

1-0.025=0.975. Putting that in, we get 52500*(0.975)^10=around 40757 people.

For inverse functions, what we do is have y=2x+1, so we switch x and y and solve for y, so in x=2y+1 we subtract one from both sides to get x-1=2y. Next, dividing both sides by 2, we get (x-1)/2=y as our inverse. Since we want positive integers less than 10, (x-1) has to be even and therefore x has to be odd. Hence, we get that x can be 9 while y can be 4 for (9, 4)

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Answer:

ttgshffs is the first thing that I want you to you sis and you can tell you what you can tell you what is going to be done in your life and I hope that your time ⌚ will not a better world of us for your birthday Babu we will win the temple Changu and I hope that

Answer:

Step-by-step explanation:

Sure

Answer:

\frac{27}{17}+\frac{28}{17}i

Step-by-step explanation:

Answer:

360 kilometres

Step-by-step explanation:

To find the distance a car would have to cover if it has been traveling for four and a half hours, you can use the formula:

distance = speed x time

In this case,

distance = 80 km/hour x 4.5 hours

To calculate the distance in kilometers, we multiply the speed in kilometers per hour by the time in hours.

distance = 80 x 4.5

distance = 360 kilometers

So, the car would have to cover 360 kilometers if it has been traveling for four and a half hours at 80 km/hour.

The value of the investment will be lesser by $26325.30 $25657.08 $668.22 $26325.30 −$25657.08 = $668.22 if the interest is compounded daily rather than annually.

What's composite interest?

The investment compounded annually will be worth $16,640 after 16 years, while the investment compounded periodically with 4 interest periods per year will be worth $16,383.84.

To calculate the investment compounded annually, we can use the formula:

A = P * (1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount (i.e., the initial deposit)

r = the annual interest rate as a decimal

n = the number of times the interest is compounded per year

t = the number of years the money is invested for

So for this example, we would have:

A = $10,000 * (1 + 0.04)^(16) = $16,640

For the investment compounded periodically, the formula is a little different:

A = P * (1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount (i.e., the initial deposit)

r = the annual interest rate as a decimal

n = the number of times the interest is compounded per year

t = the number of years the money is invested for

So for this example, we would have:

A = $10,000 * (1 + 0.04/4)^(4 * 16) = $16,383.84

As you can see, the investment compounded annually is worth slightly more than the investment compounded periodically with 4 interest periods per year.

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Given:

Graph them and transform as described.

1. A(1, 2), B(1, 5), C(5, 5)

Reflection: in the x-axis

2. A(4, -3), B(-1, -1), C(1,3)

Reflection: in the y-axis

3. A(2, 1), B(2, -3), C(4, -2)

Reflection: in the line y = 1

See attached for each. It should be self-explanatory.

Answer:

Question 1:

Question 2:

Question 3:

Step-by-step explanation:

Given vertices of the pre-image:

If the pre-image is reflected in the x-axis, the transformation rule is:

Therefore the vertices of the image are:

Given vertices of the pre-image:

If the pre-image is reflected in the y-axis, the transformation rule is:

Therefore the vertices of the image are:

Given vertices of the pre-image:

If the pre-image is reflected in the line y = 1, the transformation rule is:

Therefore the vertices of the image are: