I cannot find the secound part?

Given that Mac's credit card statement included $2087.00 in cash advances and $80.22 in interest charges.

The interest rate on the statement was 1121​% p.a.

To calculate the number of days Mac was charged interest, we need to use the following formula for simple interest:I = P × r × t WhereI is the interest,P is the principal amount,r is the rate of interest per annum,t is the time in days

The value of I is given as $80.22, the value of P is $2087.00, and the value of r is 1121% per annum.

However, we need to express the rate of interest in terms of days. To do this, we divide the rate by the number of days in a year, that is, 365 days.

We get;r = 1121/365% per day = 3.0712% per daySubstituting the values into the formula,I = P × r × t80.22 = 2087.00 × 3.0712/100 × t80.22 = 0.06399944t

Simplifying for t,t = 80.22/0.06399944t = 1253.171

Approximately, Mac was charged interest for 1253 days.  

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Answer:

-1

Step-by-step explanation:

because is the answer

The constant variation (k) is  \(-\frac{2}{3}\)  .

From given details :

x = 12 & y = -8

we can find k when given any point by dividing the y-coordinate by the x-coordinate.

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3

So,  k =  y / x  = 12 / -8 =  \(-\frac{2}{3}\)

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Answer:

C = 2(h - 1) + 0.80

Answer: 7.81 feet

Step-by-step explanation:

This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.

This can therefore be solved by the Pythagorean formula:

c² = a² + b²

where ;

c = hypotenuse

a = height

b = length

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √61

c = 7.81 feet

The answer is B :)

Step-by-step explanation:

the bar goes up then down between 40 & 60

The "traveling salesman problem" attempts to determine the shortest continuous route that allows a salesman to visit all the cities on a map and return to the starting city.

The goal is to find the optimal route that minimizes the total distance traveled. The problem is known to be NP-hard, meaning that finding the exact solution becomes increasingly difficult as the number of cities increases. Various algorithms and heuristics have been developed to approximate the optimal solution for large-scale instances of the problem.

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The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h)  -(1)

and given parabola equation is

y2 = 5x.  -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

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Let's use the variable x to represent the price of a regular ticket and the variable y to represent the price of a VIP ticket.

If 21 regular tickets and 38 VIP tickets cost $5228, we can write the following equation:

If 44 regular tickets and 58 VIP tickets cost $8792, we can write the following equation:

Now, to solve this system of equations, let's solve the first equation for x and then use its value in the second equation:

Therefore the price of a regular ticket is $68 and the price of a VIP ticket is $100.

Answer: 50.24

Step-by-step explanation:

The equation to find the area of a circle is pi*r^2. First, r^2 is 4^2 which is 16.  Then times pi. Assuming pi in this case is 3.14, 3.14 times 16 is 50.24.

Answer:

this might take a while

Answer:

a rectangle

Step-by-step explanation:

Answer:

1) z=?

using similar triangles:

x / z = (8+x) / 20

20x / (8+x) = z since x=8

z = 20(8) / (8+8) = 160 / 16 = 10

or

Midsegment theorem:

z = (1/2)(20) = 10

2) x = (1/2)(13) = 6.5

or

ratio of similar triangles:

4/ x = 8/13

x = 4(13)/8 = 6.5

3) x = 2(10) = 20

or

similar triangles:

a/10 = 2a/x

ax = 20a

x = 20

4) a/5 = 2a/(x+1)

a(x+1) = 10a

x+1 = 10

x = 10 -1 = 9

5)

similar triangles:

a/31 = 2a/2x

a(2x) = 62a

2x = 62

x = 31

midsegment theorem:

2x = 2(31)

2x = 62

x = 31

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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Answer:

= 12x + -15/2

Step-by-step explanation:

4x + 1/4 + 8x + -31/4

(4x+8x) + (1/4 + -31/4)

=12x+ -15/2

Answer:

12x - 15/2

Step-by-step explanation:

(4x + 1/4) + (8x - 31/4)

4x + 1/4 + 8x - 31/4

4x + 8x

12x + 1/4 - 31/4

1/4 - 31/4

12x -15/2

The minimum gre score is 588.6

Define Standard normal variable

The formula z = (x-mean) / standard deviation can be used to transform any point (x) from a normal distribution to the standard normal distribution (z).The value of z for each given x value indicates how far away from the mean for all x values x is.

Given,

normally distributed with a mean μ = 459

standard deviation σ = 120

University plans to offer tutoring jobs to students whose scores are in the top = 14% or 0.14

Standard normal variable is given by,

Z = (x - μ) / σ

P(X ≥ x₁) = 0.14

⇒P( [ (x - μ)/ σ ] ≥  [ (x₁ - μ)/ σ ] ) = 0.14

⇒P( z ≥  [ (x₁ - 459)/ 120 ] ) = 0.14

⇒P( z ≥  z₁ ) = 0.14

⇒P(0 < z <  z₁ ) = 0.5 - 0.14 = 0.36

From standard normal tables

z₁ = 1.08

Where, z₁ = (x₁ - 459)/ 120

1.08 = (x₁ - 459)/ 120

After solving , we get

x₁ = 588.6

Therefore, the minimum gre score is 588.6 or 589

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Answer:

do you have the graph to solve it?

The z-transform of the finite duration signal x(n) = (2, 4, 5, 7, 0, 1) is O2 + 4z + 5z² + 7z³ + z⁴. the z-transform is a mathematical tool used to analyze discrete-time signals in the frequency domain.

It converts a sequence of numbers, in this case, x(n), into a function of a complex variable z. The z-transform is defined as the sum of the sequence elements multiplied by z raised to the power of the corresponding index.

Given the finite duration signal x(n) = (2, 4, 5, 7, 0, 1), we can directly apply the definition of the z-transform to obtain its expression. Each element of the sequence is multiplied by z raised to the power of its index, and the results are summed up.

x(0) = 2 * z^0 = 2

x(1) = 4 * z^1 = 4z

x(2) = 5 * z^2 = 5z^2

x(3) = 7 * z^3 = 7z^3

x(4) = 0 * z^4 = 0

x(5) = 1 * z^5 = z^5

Adding up these terms, we get the z-transform of x(n) as O2 + 4z + 5z² + 7z³ + z⁴.

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Answer:

Step-by-step explanation:

Given:

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken=?

Now,

P=x/n

P=124/400

P= 124/4×100

P= 32/100

P= 0.32 or 32%

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0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

Estimate of Proportion: If we divide the random variable, the mean, and the standard deviation by n, we get a normal distribution of proportions with P′, called the estimated proportion, as the random variable. (Recall that a proportion as the number of successes divided by n.)

a simple random sample of 400 individuals provides 124 yes responses

The point estimate of individuals that would provide yes responses is the sample proportion.

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken

The sample proportion is calculated by dividing number of yes responses by sample size

p = x/n = 124/400= 0.31 or 31%

0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

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Answer:

8 inches

Step-by-step explanation:

The volume of a cone is

V =1/3 pi r^2 h

33.5 = 1/3 (3.14 ) ( 2)^2 h

33.5 = 4.186666666 h

Divide each side by 4.186666666

33.5/ 4.186666666  = 4.186666666 h/4.186666666

8.001592357 = h

To the nearest inch

8 = h

Answer:

x+y=85 and x-y=20

x=85-y x=20+y

85-y=20+y

85-20-y-y=0

65-2y

-2y=65

y=-65/-2

y=32.5

finding x by substituting y=32.5

x+y=85

x+32.5=85

x=85-32.5

x=52.5

.

Answer:

I think the correct answer is 27 so option c. :)

The slope of the line connecting the points (5,1) and (-1,3) will be - 1/3.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The points are given below.

(5, 1) and (-1, 3)

The slope of the line is given as,

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

m = 2 / (-6)

m = - 1/3

The slope of the line connecting the points (5,1) and (-1,3) will be - 1/3.

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Answer:

It takes about 30 minutes to kayak 1 mile on flat calm water.

Step-by-step explanation:

The required simplified solution of the given expression is 16c/[25 - c²].

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given expression,
= 8 / 5 - c - 8 / 5 + c
= 8 [5  + c - 5 + c] / [5² - c²]
= 8 / [25 - c²] × 2c
16c/[25 - c²]

Thus, the required simplified solution of the given expression is 16c/[25 - c²].

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The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

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