Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.

Therefore , the solution of the given problem of rectangle comes out to be  about 46cm2 of the baking sheet are left uncovered.

A rectangle is just a cube with quartet right angles in the Euclidean plane. It is also known as a quadrant that appears to have equal angles, or an equiangular quadrilateral. A straight angle is an additional alternative for the parallelogram. A square has four sides that are the same length. A quadrilateral with four 90° vertices and four equal sides is rectangular in shape. Due of this, it is occasionally referred to as a "equirectangular rectangle".

Here,

Given :

Size: 12 cm

Size = 18 cm

Rectangle's area is equal to 12*18.

Rectangle's surface area is 216 cm2.

One circle's diameter is equal to Length/3.

One circle's diameter is equal to 18/3, or 6 cm.

Circle area is equal to d2/4.

Circle area equals (6)2/4

Circles have an area of 364.

A circle's area is 9 cm2.

The six circular biscuits' surface area is 6 (9), or 54 cm2.

The six circular biscuits' surface area is 54 (3.14), or 169.56 cm2.

Amount of the baking sheet still exposed is equal to 216 - 169.56

46.44 cm2 of the baking sheet were left uncovered.

About 46cm2 of the baking sheet are left uncovered.

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The value of the expression is p = -8.94.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

We have an expression,

17p = 34 = - 10 + 196.

Simplifying,

17p = 34 = 186

17p = 34 - 186

17p = -152

p = -8.94

Therefore, the value is -8.94.

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Answer:

B

Step-by-step explanation:

every factor you want to bring inside a square root has to be squared first.

so,

g²h×sqrt(5g) = sqrt((g²)²×h²×5g) = sqrt(g⁴×h²×5g) =

= sqrt(5g⁵h²)

The logarithm is expanded as much as possible to, log √(x^7y^-4) = (7/2) log (x) + (-2) log(y).

Simplifying the given logarithmic expression, log √(x^7y^-4).

Use the power rule of logarithms, log(a^x) = x log a.

Say, x= 1/2 and a = (x^7y^-4).

log √(x^7y^-4) = (1/2) log (x^7y^-4)

Now, use the multiplication property of the logarithms, log (ab) = log(a) + log(b). Consider a = x^7 and b = y^-4.

log √(x^7y^-4) = (1/2) log (x^7) + (1/2) log(y^-4)

Now, again use the power rule in both the terms,

log √(x^7y^-4) = (7/2) log (x) + (-4/2) log(y)

log √(x^7y^-4) = (7/2) log (x) + (-2) log(y)

This is the simplified expression.

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The solutions of the equation that lie in the interval [0,π] is 1.1592 and 1.98239.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

cos(x)=0.4

Take cos inverse on both side

[tex]cos^{-1[/tex] (cos(x)) = [tex]cos^{-1[/tex] (0.4)

x  = [tex]cos^{-1[/tex] (0.4)

x= 1.1592

and, the second solution

x = π - 1.1592

x = π - 1.1592

x= 1.98239

Hence, the solutions are 1.1592 and 1.98239.

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Answer: The correct answer is D-3 m/s.

Step-by-step explanation:  To find the velocity of the second ball, we need to use the principle of conservation of kinetic energy.

The total kinetic energy before the collision is equal to the total kinetic energy after the collision.

Initial kinetic energy = $\frac{1}{2} * 6 * v^2$

Final kinetic energy = $\frac{1}{2} * 6 * 6 + \frac{1}{2} * 6 * v^2 = 75$

Solving for v, we get v = 3 m/s.

The number of data points above the median is 12, number of data points below the 1st quartile is 6 and the number of data points between 1st and 3rd quartile is 12.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

There are 24 data points in a data set.

Let x₁, x₂, .........., x₂₄ be the data points arranged in an increasing order.

Since the number of elements are even, median is the average of middle two elements.

Median = (x₁₂ + x₁₃) / 2, which will be in the middle of x₁₂ and x₁₃.

Number of elements above median = number of elements from x₁₃ to x₂₄ = 12

First quartile range is the average of the first part of elements which has been divided by the median.

Average of x₁, x₂, ......., x₁₂

1st quartile, Q₁ = (x₆ + x₇) / 2, which is located in the middle of x₆ and x₇.

Number of data points below 1st quartile = 6

Third quartile  is the average of the second part of elements which has been divided by the median.

Average of x₁₃, x₁₄, ......., x₂₄

3rd quartile = (x₁₈ + x₁₉) / 2, which is located in the middle of x₁₈ and x₁₉.

Number of elements between 1st and 3rd quartile = 12

Hence the number of elements in each of the range is found.

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Answer:

290.68 miles

Step-by-step explanation:

fixed rate 37.33 per day

mileage 0.25 per miles

allowance 110 per day

how many miles = x

110 = 37.33+0.25x

0.25x =110-37.33 = 290.68 miles

It's important to control for these confounding variables to ensure that the results of the experiment accurately reflect the impact of the independent variables (irrigation and fertilizers) on the dependent variable (growth of Colorado blue spruce trees).

Confounding variables are extraneous variables that can influence the relationship between the independent variable (irrigation and fertilizer) and the dependent variable (growth of Colorado blue spruce trees).

In this experiment, some confounding variables that might be present include:

Soil quality: Soil quality can affect the growth of the Colorado blue spruce trees and may differ between the moist and dry regions.

Climate: Climate, including temperature, humidity, and precipitation, can affect the growth of the trees and may differ between the two regions.

Sun exposure: The amount of sunlight the trees receive can affect their growth and may differ between the two regions.

Pest and disease pressure: The presence of pests and diseases can affect the growth of the trees and may differ between the two regions.

Genetic variability: There may be genetic variability between the Colorado blue spruce trees in the moist and dry regions, which could affect their growth.

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The number of dollars each day we can spend in the remaining days is, $97

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Amount left in promotion budget =  $668.00

Amount we need to spend on the last day = $85.00

The number of dollars in can spend each day = ?

Total amount can spend in remaining days = $668.00 - $85.00

                                                                        =  $583

Each day can spend = 583/6

                                   = 97

Hence, the number of dollars can spend each day, $97

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Answer:

The escape velocity from Earth is approximately 415.9 miles per hour.

Note that the statement that verified that ST || to QR is the converse of the Triangle Proportionality Theorem and the ratios given in Option A.

According to the converse of the Triangle Proportionality Theorem, If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

The Theorem of Proportionality states that a line drawn parallel to one side of a triangle and cutting the other two sides splits the other two sides in equal proportion. The reverse of the Basic Proportionality Theorem - A line drawn to cut two sides of a triangle in equal proportion is parallel to the third side.

Since 4.5/7.5 = 7.5/12.5, then the converse of the Triangle proportionality theorem holds true.

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Answer:

See below

Step-by-step explanation:

The U.S has more people under 18 than China does: correct

There are more people under 18 than age 45-60 in the US: correct

The population of China is more than four times of the US: You can't tell given the graph

There are more people age 19-44 than any other age group in the US: correct

The cost of 8 grams of Teuscher Chocolate is 8 x $8 = $64. The cost of 8 grams of Saffron is 8 x $14 = $112. Therefore, the total cost of the two items combined is $64 + $112 = $176.  

The cost of a 100-word answer depends on what type of service or product you are requesting. If you need a professional writing service, the cost will vary depending on the complexity of the answer and the quality of the writing. If you are looking for a plagiarism-free answer, the cost will also depend on the source of the answer, as well as the complexity, length, and research involved.

Since this exceeds the $42 budget, the party planner cannot include more than 8 grams of Teuscher Chocolate and Saffron in the gift bag.

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The final velocity of the Tennis for the condition is 19 m/s.

acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

Given Tennis starts moving at 4m/s to the left,

initial speed = 4 m/s

for 5s he is accelerating at a constant rate of 3m/s^2

time = t = 5 s

acceleration = 3 m/s²

to find the final velocity​,

velocity is given by,

v = u + at

u = initial speed, t = time, and a = acceleration

v = 4 + 3(5)

v = 4 + 15

v = 19 m/s

Hence velocity is 19 m/s.

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Answer:

Step-by-step explanation:

The main idea you need to understand here is multiplicity, zeroes, and end behavior.

If a function has an odd degree that means that the end behaviors will be opposite so if on the right side the polynomial is going up, then on then on the left side it's going down and vice versa.

As for multiplicity, if the multiplicity or exponent of a zero is odd then it crosses the x-axis otherwise it has a turning point meaning it touches the x-axis and just turns around.

The last thing to understand is if the polynomial has a positive leading coefficient then the graph will be going up on the right side otherwise it will be going down.

We're given the function: f(x) = (x-1)(x+2)(x+5) and if you set each factor equal to zero, you can solve for the zeroes getting: x = 1, --2, and -5 as zeroes. Since the coefficients inside the factors are all positive when we multiply this out, we would get a positive leading coefficient and since the exponent of them is all one, the degree would be 3 when multiplying out the 3 binomials.

So on the right side it's going up, the left side it's going down (since odd degree) and at each zero it crosses the x-axis since they all have an odd multiplicity. This allows us to draw a rough sketch which I have provided using paint.,

Answer:

The given equation 1 - x - 2y = -6 is in standard form, and can be converted to slope-intercept form (y = mx + b) by solving for y.

To do this, we first add x and 2y to both sides of the equation to get:

1 + x + 2y = -6

Next, we divide both sides of the equation by 2 to get:

(1/2) + (1/2)x + y = -3

Finally, we rearrange the equation to get:

y = -(1/2)x - 3

Therefore, the equation in slope-intercept form is y = -(1/2)x - 3.

When drawn on a coordinate plane with the x-axis as the baseline, a wave with a crest that is closer to the baseline has a smaller

The above statement is false.

The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).

The point is located on the 2D coordinate plane in one of its four quadrants if both the x and y values are non-zero.

The intersection of two number lines creates a two-dimensional plane known as a coordinate plane. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two examples of these number lines.

A graph having one x-axis and one y-axis is referred to as a cartesian plane (also known as an X-Y graph). The orientation of these two axes is perpendicular. The graph's exact centre is marked by the origin (O).

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The value of x is 26 and TanΘ  is equals to  10 / 24

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

From the given triangle,

We can say that ,

Hypothenuse ^2  =  base^2  + opposite^2

let the hypothenuse of given triangle be x

so,

x^2 = 10 ^2 + ^2

x ^2 = 100 + 576

x^2 = 676

x = 26

SO,

TanΘ = 10 / 24

TanΘ = 5/12

TanΘ = 0.4169

Therefore, The value of x is 26 and TanΘ = 10 / 24

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The final values of $t0, $t1, $t2, and $t3 in the MIPS assembly code are 1, 2, 3, and 4, respectively.

This is because each of the 'addi' instructions adds a constant value to the specified register. The 'addi' instruction in MIPS stands for "add immediate", where the constant value is immediately added to the source register. In this case, each of the 'addi' instructions adds 1, 2, 3, or 4 to the corresponding register.

[tex]$t0 = 0 + 1 = 1$$t1 = 0 + 2 = 2$$t2 = 0 + 3 = 3$$t3 = 0 + 4 = 4$[/tex][tex]$[/tex]

Assuming that the initial values of the registers are 0, the final values of $t0, $t1, $t2, and $t3 would be the sum of the constant value and the initial value of the corresponding register. Thus, the final values of $t0, $t1, $t2, and $t3 would be 1, 2, 3, and 4, respectively.

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The complete question is-

What are the final values of $t0, $t1, $t2, and $t3 in the following MIPS assembly code after its execution is completed, assuming that the initial values of the registers are 0?

The required Missing Frequency is 3.

Frequency is a measure of the number of occurrences of a given event within a specified period of time. It can refer to the number of times a particular event happens in a unit of time.

Such as the number of times a wave or vibration occurs in a second, or the number of times an action occurs in a given period. In physics, frequency is measured in hertz (Hz); in electrical engineering, it is measured in cycles per second (cps). Frequency is also used in mathematics, music, and sound engineering.

Value  Frequency

1             2

2            4

3            9

4            ?

5            6

6            8

7             2

8             4

Total      40

We have to find the Missing frequency:

Computation:

Missing frequency = Total frequency - Counted

Missing frequency = 40 - 37

Missing frequency = 3

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The matrix equation that models the system is:

[2 4 0]    [ 4 ]

[1  0 -1] = [-3 ]

[4  2  1]    [ 7 ]

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.

The given system of equations can be written as:

2x + 4y + 0z = 4

x + 0y -z = -3

4x + 2y + z = 7

Thus, the matrix equation can be written as:

[2 4 0]    [ 4 ]

[1  0 -1] = [-3 ]

[4  2  1]    [ 7 ]

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The country has approximately 3 cellular phones per person.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

In other words it compares 1 unit of some quantity with different amount of another quantity.

Given that a country has approximately 2,900 cellular phones per 1,000 people.

Number of cell phones for 1000 people = 2900

Number of cell phones for 1 person = 2900 / 1000 = 2.9 ≈ 3

Hence there are approximately 3 cellular phones per person.

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After 1 second, the height of the ball will be 48 feet above the ground, and if the ball lands after 4 seconds of being thrown into the air the ball is 50 feet above the ground after 4.66 seconds.

So we have the function:

h(t)=64t-16t²

height h(t) is measured as the ball after t seconds.

A) To find the height of the ball after 1 second if it has been thrown, then substitute 1 for t. Thus:

h(1)=64(1)-16(1)²

Simplify:

h(1)=64-16

Subtract:

h(1)=48

Thus, after 1 second, the height of the ball is 48 feet above the ground.

B) To know how many seconds after being thrown the ball hit the ground, we have to set h(t) to 0. 0 can be defined as that it will be 0 feet above ground level: in another word, on the ground. So:

0=64t-16t²

Solve for t. Factor out a 16t

0=16t(4-t)

Zero Product Property:

16t=0, 4-t=0

Solve for t:

t=0 or t=4.

We have to ignore the first zero. So, the value of t is 4 and the ball lands after 4 seconds of being thrown into the air.

C) To calculate at what time(s) the ball is 50 feet above the ground, set h(t) to 50 and solve for t:

50=64t-16t²

First, we have to divide everything in 2 to simplify things:

25=32t-8t²

Subtract 15 from both sides:

-8t²+32t-10=0

Now, to find the zeros, we can use the quadratic formula. a=-8, b=32, and c=-10. Thus:

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute:

[tex]x=\frac{-32+\sqrt{(32)^2-4(-8)(-10)} }{2(-10)}[/tex]

Simplify:

[tex]x=\frac{32+\sqrt{704} }{20}[/tex]

Use a calculator. Approximate:

x=4.6647

Therefore, the ball is 50 feet above the ground after 4.66 seconds.

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Answer

3 kids wanted to go surfing.

The percentage of customers who were surveyed and were 18 - 24, would be 24 %

To find the percentage of customers who were surveyed and were between the ages of 18 and 24, find the total number of people surveyed :

= 25 + 30 + 35 + 25 + 10

= 125 people

The percentage of surveyed customers aged 18 - 24 is therefore:

= Number of customers between 18 - 24 / Total number of customers

= 30 / 125 x 100 %
= 24 %

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