Tanya bought a new television for $1,200. The deal was attractive to her because she was required to make interest payments on the $1,200 purchase for the first year. After one year of interest-only payments, how much did Tanya owe on the television?

Answer:

e

Step-by-step explanation:

Answer: i got C sorry if its not right

We will find the pattern as follows:

105 - 104 = 1

104 - 102 = 2

102 - 99 = 3

99 - 95 = 4

95 - 90 = 5

90 - 84 = 6

So, it is reasonable to assume that the next value will be 77.

Answer:

Step-by-step explanation:

Big circle:

R = radius = diameter ÷2 = 42 ÷ 2 = 21 cm

Area of big circle= πR²

                            \(=\dfrac{22}{7}*21*21=22*3*21\\\\\\= 1386 \ cm^{2}\)

Small circle:

Diameter of small circle  = radius of big circle = 21 cm

r = 21/2 = 10.5 cm

Area of small circle = πr²

                                \(=\dfrac{22}{7}*10.5*10.5 = 22 * 1.5*10.5\\\\\\= 346 .5 \ cm^{2}\)

Area of shaded region = area of big circle - area of small circle

= 1386 - 346.5

= 1039.5 cm²

Answer:

72 boys=72:40

45 girls=81:45

90 girls=162:90

40 girls=72:40

etc.

Step-by-step explanation:

think of it as fractions

Answer:

Rotation and Dilation

Step-by-step explanation:

tan 49° = x/55

tan Θ = opposite/adjacent

x - opposite

55 cm - adjacent

Answer:

7.625

Step-by-step explanation:

This would be written like this bc to 3 decimal places its 5.You then round 4 up to 5,because the third decimal place is higher than 4.

Answer:

7.265

Step-by-step explanation:

You count three places after the decimal point which is 264 since there is a 5 after the 4 the 5 tells you round the 4 up to a 5

aₙ = aₙ₋₁ - 9 is the recursive formula of Arithmetic progression.

Arithmetic progression is a sequence of number in order with same difference .

A fixed number is added to any term of a AP to get next term . That Fixed number is known as common difference.

In the question,

16 , 7 , -2 , -11 . . . .

First term of AP : a₁ = 16

Second term : a₂ = 7

Common difference : d = a₂ - a₁

=> d = 7 - 16

=> d = -9

The recursive formula of AP : aₙ = aₙ₋₁ + d

Here d = -9 , substituting d

The recursive formula of given AP : aₙ = aₙ₋₁ - 9

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Answer: -112/8=-14

Step-by-step explanation: Quotient means to divide.

Answer:

subtraction property of equality

Step-by-step explanation:

180 = 155 + m< EGH

Subtract 155 from each side using the subtraction property of equality

180-155 = 155-155 + m< EGH

25 = m< EGH

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Answer: 260 meters

Step-by-step explanation: 20 meters per second x 13 seconds = 260 meters

Answer:

Step-by-step explanation:

Since the yield varies inversely with the price, we can use the formula:

yield × price = constant

Let's call the constant k. When the yield is 4% and the price is $100, we have:

4% × $100 = k

k = $4

So the formula becomes:

yield × price = $4

When the price is $80, we can solve for the yield:

yield × $80 = $4

yield = $4 / $80

yield = 0.05 or 5%

Therefore, the yield on the bond when the price is $80 is 5%.

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Answer:

1,6,14,21, and 42 are not prime numbers of 42.

Step-by-step explanation:

42
21x2(done)
7(done)x3(done)

2, 3, and 7 are prime numbers of 42

Answer:

6

Step-by-step explanation:

because prime numbers are numbers with two factors one and the number itself and 6 is having more than two factors.

Answer:

-18 for the first one and 24 for the second one

Step-by-step explanation:

if you have + - , you subtract.

if you have - - , you add.

The surface integral ∬σf(x, y, z) dS over the given sphere above z = 1 is equal to 4π.

To find the surface integral ∬σf(x,y,z)dS, where f = (x^2 + y^2)z and σ is the sphere x^2 + y^2 + z^2 = 4 above z = 1, we need to parameterize the surface of the sphere and then evaluate the surface integral using the appropriate surface area element.

The given sphere has a radius of 2 and is centered at the origin. We are only interested in the portion of the sphere above z = 1, which corresponds to the upper hemisphere.

To parameterize the surface of the upper hemisphere, we can use spherical coordinates. Let's denote the spherical coordinates as (ρ, θ, φ), where ρ is the radius, θ is the azimuthal angle (in the xy-plane), and φ is the polar angle (measured from the positive z-axis).

The equation of the sphere in spherical coordinates is ρ = 2. Since we are interested in the upper hemisphere, the polar angle φ will vary from 0 to π/2.

The surface area element in spherical coordinates is given by dS = ρ^2 sin(φ) dφ dθ.

Now, let's express f(x, y, z) in terms of the spherical coordinates (ρ, θ, φ). We have:

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Substituting these expressions into f(x, y, z), we get:

f(ρ, θ, φ) = (ρ^2 sin^2(φ)) ρ cos(φ)

To evaluate the surface integral, we need to express f(ρ, θ, φ) in terms of ρ, φ, and θ, and then integrate over the appropriate ranges.

Now, let's set up the surface integral:

∬σf(x, y, z) dS = ∬σ (ρ^2 sin^2(φ)) ρ cos(φ) dS

Using the surface area element dS = ρ^2 sin(φ) dφ dθ, we can rewrite the surface integral as:

∬σf(x, y, z) dS = ∫θ=0 to 2π ∫φ=0 to π/2 [(ρ^2 sin^2(φ)) ρ cos(φ)] ρ^2 sin(φ) dφ dθ

Simplifying, we have:

∬σf(x, y, z) dS = ∫θ=0 to 2π ∫φ=0 to π/2 (ρ^3 sin^3(φ) cos(φ)) dφ dθ

Now, substitute ρ = 2 into the integral:

∬σf(x, y, z) dS = ∫θ=0 to 2π ∫φ=0 to π/2 (8 sin^3(φ) cos(φ)) dφ dθ

Evaluating the inner integral with respect to φ, we have:

∫φ=0 to π/2 (8 sin^3(φ) cos(φ)) dφ = 8/4 = 2

Now, evaluate the outer integral with respect to θ:

∬σf(x, y, z) dS = ∫θ=0 to 2π 2 dθ = 2(2π) = 4π

Therefore, the surface integral ∬σf(x, y, z) dS over the given sphere above z = 1 is equal to 4π.

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Answer:

x=20

Step-by-step explanation:

(12+6)/(8+x-4) =6/8

18/(x+4)=6/8

6(x+4) =(18)(8)

(x+4) =(18)(8)/6

x+4 =(3)(8)

x+4=24

x=-4+24

x=20

Answer:

0.397

Step-by-step explanation:

Hope this helps!❆

Answer:

0.397

Step-by-step explanation:

0.392 is less than 0.397

Hope this helps!

Answer:

Step-by-step explanation

….

Answer: 0.9

Step-by-step explanation:

Answer:

  B has the greatest range for a given amount of fuel

Step-by-step explanation:

In the US, fuel efficiency is measured in terms of miles per gallon. This value is found by dividing the number of miles traveled by the corresponding number of gallons used.

When calculations are repetitive, it is often useful to use a spreadsheet to do them. You can enter the formula once, and have it operate on all the different data sets. Here, the formula divides the number in the miles column (range) by the number on the same row in the gallons column (fuel).

We find the greatest miles per gallon (best efficiency) is given by Option B.

__

Additional comment

Many places in the world measure fuel efficiency by the amount of fuel required to deliver a certain outcome. In this problem, that would be expressed as gallons per some number of miles, perhaps 100 miles. Using that measure, a lower value indicates better performance.

Answer:

10 units and 157.84 units

Step-by-step explanation:

4

substitute t = 1 into the equation

h = - 16(1)² + 6 = - 16 + 6 = - 10

the value is negative since the ball travels down

the ball has travelled 10 units after 1 second

5

substitute t = 3.2 into the equation

h = - 16(3.2)² + 6 = - 16(10.24) + 6 = - 163.84 + 6 = - 157.84

the well is 157.84 units deep

The total number of 5- digit even palindromes present is 400 numbers.

For the stated question-

For example, 23432, 85658,

The number of 5- digit even palindromes are formed as;

4 * 10 * 10 = 400.

Thus, the total number of 5- digit even palindromes present is 400 numbers.

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The code sorts the skill array in ascending order.

It then creates a HashMap to store the number of occurrences of each skill level. The left and right pointers are initialized to point to the first and last elements of the skill array. The result variable is used to store the sum of the effectiveness of all teams that can be created. The code then iterates through the skill array using the left and right pointers. If both pointers point to skills that have more than one occurrence, then two of each skill are used to create the team, and effectiveness is added to the result.

If only one pointer points to a skill with more than one occurrence, then one instance of that skill is paired with one instance of the other skill to form a team. Otherwise, if both pointers point to skills that have only one occurrence, then one instance of each skill is used to create the team. In any case, when a team is created, the HashMap is updated accordingly.

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Answer:

She bought 2 videos and 8 CDs.

Answer: = 16

Step-by-step explanation:

Answer:

n > 1

Step-by-step explanation:

add 5 on both sides:

7n-5+5>-2n+4+5

simplify:

7n>-2n+9

add 2n on both sides:

7n+2n>-2n+9+2n

Simplify:

9n>9

divide both sides by 9

9n/9 > 9/9

simplify:

n > 1

The number of possible ways to match or pair vertices between a and b one-to-one is given by 5! (i.e. 120).

Given, Vertex set a = {a1, a2, a3, a4, a5}Vertex set b = {b1, b2, b3, b4, b5}Since we have to match or pair vertices between a and b one-to-one. Therefore, the number of possible ways to match or pair vertices between a and b one-to-one is given by the factorial of the number of vertices in the vertex set i.e. 5! (i.e. 120). Thus, there are 120 possible ways to match or pair vertices between a and b one-to-one.

When we need to match or pair vertices between two sets, we must look for the total number of possible ways we can do this. The number of possible ways to match or pair vertices between two sets one-to-one is given by the factorial of the number of vertices in the vertex set. In this case, both sets a and b have 5 vertices each, so the number of possible ways is 5!. That is 120 possible ways to match or pair vertices between a and b one-to-one. Therefore, the answer is 120.

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Therefore, the vector form of the equation y = x² - 8x + 15 is y = (x - 4)² + 14. The vertex of the parabola is at the point (4, 14).

To convert the quadratic equation y = x² - 8x + 15 from standard form to vertex form, we need to complete the square by adding and subtracting a constant term. Here's the step-by-step explanation:

Factor the coefficient of x²: The coefficient of x² is 1, so we don't need to factor it.

Group the x terms: Rewrite the quadratic equation as y = (x² - 8x) + 15.

Complete the square: To complete the square, we need to add and subtract a constant term that will make the expression inside the parentheses a perfect square trinomial. The constant we need to add is half of the coefficient of x, squared: (8/2)² = 16.

y = (x² - 8x + 16 - 16) + 15 // add and subtract 16

y = (x - 4)² - 1 + 15 // factor and simplify

Simplify: Now we can simplify the expression by combining the constants -1 and 15 to get 14.

y = (x - 4)² + 14

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