you want to go on an “Around the world cruise” two travel agents are offering cruise packages for $20,000. the agents have unusual finance offers. with each agent, you are charged interest over time, but rather than making monthly payments, you are expected to pay the cruise off (principle plus interest) in a single lump sum payment at a date of your choosing. you will need at least a year after purchasing the cruise to save enough money to pay it off. Agent A: this plan comes with a 12% interest per year charge. Agent B: This plan charges 1% interest per month decide which is better

Answer:

x = 20 feet, y = 40 feet

Step-by-step explanation:

See attached photo for solution

The length of the brick wall is 20 ft and the length of an adjacent side is 40 ft and this can be determined by forming the linear equation in two variables.

Given :

Let 'x' be the length of the brick wall and 'y' be the length of an adjacent side in feet. Then the area of the garden is:

xy = 800    --- (1)

The perimeter of the rectangular garden will be:

Perimeter = 24x + 8x +2(8)y    ---- (2)

Now, solve equation (1) for y.

[tex]y = \dfrac{800}{x}[/tex]   --- (3)

Now, put the value of 'y' in equation (2).

[tex]\rm P=32x+16\times \dfrac{800}{x}[/tex]

Now, for minimizing cost differentiate the perimeter with respect to 'x'.

[tex]\rm P'=32-16\times \dfrac{800}{x^2}[/tex]

Now, equate the above equation to zero.

[tex]0=32-16\times \dfrac{800}{x^2}[/tex]

[tex]\dfrac{800}{2}={x^2}[/tex]

x = 20

Now, put the value of 'x' in the equation (3).

[tex]y = \dfrac{800}{20}[/tex]

y = 40

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The new coordinates of the figure is :

A=( 1,5)  B= (-4,5)  C= (-4,8)

A point on a plane can be subject to transformations. Examples of transformations that can be done on points are translations, reflections, or rotations about a point. These transformations are also observed algebraically, in which functions on the coordinates are applied.

Recall that if (x, y) is a point on the plane, reflecting it across the y-axis means that the x-coordinate is negated:

(x, y) => (-x, y)

The coordinates of the figure is

A = (-1,5)

B = (4, 5)

C = (4, 8)

The new coordinates of the figure is :

A=( 1,5)  B= (-4,5)  C= (-4,8)

This means that the first coordinate is changed, and the y-coordinate is left as is.

Therefore, it is the y-coordinate that stays the same when reflected across the y-axis.

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A (1, 5), B (-4, 5), C (-4, 8) are the new coordinates of the figure aboge if it is reflected over the y axis.

In the realm of plane geometry, various transformations can be applied to points, facilitating a means of altering their positions or orientations. These transformations include translations, reflections, and rotations, all of which have algebraic representations.

When reflecting a point across the y-axis, as denoted by the transformation (x, y) => (-x, y), the x-coordinate is negated while the y-coordinate remains unaffected.

This can be observed in the coordinates of the figure:

A (-1, 5)

B (4, 5)

C (4, 8)

After the reflection, the new coordinates become:

A (1, 5)

B (-4, 5)

C (-4, 8)

It is evident that the reflection operation results in the change of the sign of the x-coordinate while leaving the y-coordinate unaltered. Consequently, the y-coordinate remains the same when a point is reflected across the y-axis, illustrating a fundamental property of this geometric transformation.

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Step-by-step explanation:

Less than 2 hours. Since 100 percent of her time is 2 hours and she only spent 20 percent of 2 hours, which is less than 100 percent, it is less than

Answer:

more

Step-by-step explanation:

1/5 times 2 is equal to 3

You can multiply both sides of an inequality by the same, nonzero number, but if this number is negative, you have to flip the sign.

In this case, in order to solve for x, you have to divide by -3 (i.e. multiply by -1/3), so yes, you must switch the sign:

[tex]-3x<15 \implies x>-5[/tex]

Alternatively, you may add 3x to both sides:

[tex]0<3x+15[/tex]

Subtract 15 from both sides:

[tex]3x>15[/tex]

And divide both sides by 3:

[tex]x>5[/tex]

The sign switch here was hidden behind the fact that we switched the two sides of the inequality

The probability of choosing Wednesday is 1/7

There are 7 days in a week, and one of the days is Wednesday.

So, we have:

Days = 7

Wednesday = 1

The probability of choosing Wednesday is calculated as:

P(Wednesday) =Wednesday/Days

This gives

P(Wednesday) = 1/7

Hence, the probability of choosing Wednesday is 1/7

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Answer:

35 square units

Step-by-step explanation:

The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:

The Area of each triangle is 4 square units. So we need to calculate the area of the squares.

Side length of square = 3 units

Area of square = Length² = 3² = 9

Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares

= 2(4) + 3(9)

= 8 + 27

= 35 square units

Surface Area of Given Solid = 35 square units

Answer:

The surface area of the triangular prism is 35 square units

Step-by-step explanation:

It is given that,A solid is composed of squares and equilateral triangles

The area of each triangle is 4 square units

To find the surface area of solid

From the figure we get,

Surface area = Area of 2 triangle + area of 3 squares

There are 2 triangles with area = 4 square units

Area of 2 triangle = 2 * 4 = 8 square units

There are 3 squares with side = 3 units

Area of 1 square = 3 * 3 = 9 square units

Area of 3 squares = 3 * 9 = 27 square units

Surface area = 8 + 27 = 35 square units

The surface area of the triangular prism is 35 square units

Answer:

Mike went 9 miles on 1/8 of a tank of gas, how many miles can he go with his full tank.

Then to solve this, we would divide 9 by 1/8

9 ÷ 1/8 = 72

r u ccfqrh 3tg14yhq4u51uh5qubqtjbtqjb

Answer:

384 cm²

Step-by-step explanation:

Calculate the volume of metal in the block

V = 16 × 8 × 4 = 512 cm³

Then the volume of the cube = 512 cm³

That is

s³ = 512 ← s is length of side of cube, hence

s = [tex]\sqrt[3]{512}[/tex] = 8 cm

The cube has 6 square faces, hence

surface area = 6 × 8² = 6 × 64 = 384 cm²

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

Answer:

Its 960

Step-by-step explanation:

Although the total cost depends on various factors, generally, owning a small dog tends to be more expensive than owning a cat, mostly due to additional expenses like training, grooming, and potential healthcare costs.

The question is about the average total cost difference between owning a cat and a small dog for a decade. This can be a complex calculation as different cost factors need to be considered, such as food, vaccinations, regular vet care, grooming etc. However, with the given information, we are unable to compute the exact difference. At this stage, a proper figure cannot be provided due to lack of the essential data about the yearly costs for each pet. However, on average, it is generally considered that owning a small dog can be more expensive than owning a cat due to additional expenses like training, grooming, and potentially higher healthcare costs.

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Answer:

option D

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - [tex]\frac{9}{\sqrt{7} }[/tex]

2 - [tex]\frac{1}{\sqrt{11} }[/tex]

9 + [tex]3\sqrt{\frac{5}{2} }[/tex]

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex]

A Complex Number is a combination of a Real Number and an Imaginary Number

a + ib

where a is real number

            b is imaginary number

            i is 'lota' which is √-1

[tex]\frac{8}{3} + \sqrt{\frac{-7}{3} }[/tex] is complex number in which

[tex]\frac{8}{3}[/tex] is real part

[tex]\sqrt{\frac{7}{3} } \sqrt{-1}[/tex] = [tex]\sqrt{\frac{7}{3} } i[/tex] is the imaginary part

Answer:

D.  8/3+ sqrt-7/3

Step-by-step explanation:

Answer:

Your answer will be...

Step-by-step explanation:

50 square root of 3 ft

The tangent line AC forms a right angle with the radius line OC, so the angle at C is 90 degrees.

Angle O is given as 45 degrees, so angle A needs to equal:

180 - 90 - 45 = 45 degrees.

Answer:

The dimensions of the dilated rectangle are 30 cm x 16 cm

Step-by-step explanation:

we know that

To find the dimensions of the dilated rectangle, multiply the original dimensions by the scale factor

so

Let

A'B'C'D'------> the dilated rectangle

z-------> the scale factor

we have

z=2

A'B'=AB*z=15*2=30 cm

B'D'=BD*z=8*2=16 cm

The dimensions of the dilated rectangle are 30 cm x 16 cm

Answer:

k = 10

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ZYM is an exterior angle of the triangle and

∠'s YZX and ZXY are the 2 opposite interior angles, hence

4k + 5 + 6k + 10 = 115

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10

Answer:

k=10

Step-by-step explanation:

∠ZYX= 180-115= 65 these are supplementary angles adding up to 180°.

The interior angles in the triangle should add up to 180°

Adding the values and then equating to 180° we get the following equation.

65+(4k+5)+(6k+10)=180°

simplifying we get: 80+10k=180

10k=180-80

10k=100

k=10

Answer:

5 strides because 6-1=5

Step-by-step explanation:

➷ You just need to count the number of squares. It would be 5 strides.

The mathematical way is using the y values:

6 - 1 = 5

It is 5 strides.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Step-by-step explanation:

i think its B I'm not really sure

Answer:

B

Step-by-step explanation:

Volume of Cone formula is given by :  [tex]V=\frac{1}{3}\pi r^2 h[/tex]

Given V = 56.52 and h = 7, we plug them in and solve for r:

[tex]V=\frac{1}{3}\pi r^2 h\\56.52=\frac{1}{3}(3.14) r^2 (7)\\56.52=7.33r^2\\\frac{56.52}{7.33}=r^2\\7.71=r^2\\r=\sqrt{7.71}\\ r=2.77[/tex]

rounding to tenths place, r = 2.8 inches

Answer choice B is right

Answer: c.   [tex]4.9\ in.[/tex]

Step-by-step explanation:

The volume of cone is given by :-

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex], where r is radius and h is height of the cone.

Given: Height : 7 in.

Volume : [tex]56.52\ in^3[/tex]

Then the volume of the cone will be :-

[tex]56.52=\dfrac{1}{3}(3.14) r^2(7)\\\\\Rightarrow\ r^2=\dfrac{56.52\times3}{7\cdot3.14}\\\\\Rightarrow\ r^2=24.22285714\\\\\Rightarrow\ r=4.921672189\approx4.9\ in.[/tex]

Hence, the radius of the cone =  [tex]4.9\ in.[/tex]

The value of X is 112° and The value of Y is 68°

Answer:

Angle y: 68°

Angle x: 112°

Step-by-step explanation:

When you are dealing with two sets of parallel lines where one set intercepts the other, angles are always the same as the parallel line's angle. In this example

∡PM = 68° = ∡y°

Seeing that we now know that y is 68° and q is a straight line (Straight Lines have an angle of 180°) we can subtract 68° from 180° in order to get the degree of the angle x.

180° - 68° = 112°

Now we know that angle y is 68° and angle x is 112°

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[tex]f(x) = 3 {x}^{2} + 5x + 1 \\ \\ \frac{f(x + h) - f(x)}{h} \\ \\ \frac{(3(x + h)^{2} + 5(x + h) + 1) - (3 {x}^{2} + 5x + 1 }{h} \\ \\ \frac{(3( {x}^{2} + 2xh + {h}^{2}) + 5x + 5h + 1) - 3 {x}^{2} - 5x - 1}{h} \\ \\ \frac{3 {x}^{2} + 6xh + 3 {h}^{2} + 5x + 5h + 1 - 3 {x}^{2} - 5x - 1 }{h} \\ \\ \frac{6xh + 3 {h}^{2} + 5h}{h} \\ \\ \frac{h(6x + 3h + 5)}{h} \\ \\ = 6x + 3h + 5[/tex]

Answer:

The best thing to do here is PEMDAS which is parenthesis, exponents, then eith multiply, divide, add, subtract which will help you figure out the answer and when you plug it all in you get 106 as ur answer

Step-by-step explanation:

Answer:

10.4, or 10 if rounding.

Step-by-step explanation:

26 * .4 = 10.4

A car dealer expected to sell 10.4 ≈ 10 sedans.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A used car dealer estimates that 40% of his customers will buy sedans.

If he sells 26 sedans,

total cars he would have expected to sell,

= 26 x 40/100

= 10.4

≈ 10

Therefore, he expected 10 sedans to sell.

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Answer:

its exponential because the parent function is y=(a)(b)^x

Step-by-step explanation:

Final answer:

The rule y = -3 ∙ 2ˣ defines an exponential function due to the term 2ˣ, where the base 2 is a constant raised to the variable power x, leading to a rapid change in y values as x changes.

Explanation:

The rule y = -3 ∙ 2ˣ represents an exponential function, not a linear function. In a linear function, the variable x is raised to the first power and appears in the form y = mx + b, where m and b are constants, and the graph is a straight line. In contrast, an exponential function is of the form y = a ∙ bˣ, where a and b are constants, and b is the base raised to the power of x.

The presence of the term 2ˣ indicates that as x increases, the value of y changes at an exponential rate. This is characterized by a curve that shows a rapid increase or decrease in value rather than a constant rate of change. Additionally, since the base b (which is 2 in this case) is a positive number other than 1, and it is raised to the power of x, this confirms the exponential nature of the function.

Answer:

[tex]\frac{131}{99}[/tex]

Step-by-step explanation:

Let    

[tex]x=1.323232...[/tex]

Multiply x by a power of  [tex]10[/tex], one that keeps the decimal part of the number the same:  

[tex]100x=132.3232..[/tex]

Subtract [tex]x[/tex] from [tex]\\100x[/tex]

[tex]100x-x=132.3232...-1.3232...=131[/tex]

The repeating decimals should cancel out

[tex]\\99x=131[/tex]

solve for x

Divide by [tex]99[/tex] both sides

[tex]x=\frac{131}{99}[/tex]

Answer:

60

Step-by-step explanation:

This question is super common sense which probably makes you

want to rethink the simple answer. Very plainly it says: Tuesday the Baker makes a total of 60 muffins. It doesn't tell us what "kind" of muffins they

are or are not. So then it asks how many "blueberry" muffins does the Baker bake on Tuesday.

They are only giving us one number that the Baker bakes on Tuesday and that number is 60

Answer:

A,C,D,E

Step-by-step explanation:

Answer:

A,C,D,E are correct.

Step-by-step explanation:

Answer: Independent Variable

Step-by-step explanation:

The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.