Michael is saving to buy his senior ring. The base cost of the ring is $280. There are also upgrades he can purchase for the ring. If he saves $35 each month, which solution represents how many months it will take Michael before he can purchase his ring?​

Answer:

9

Step-by-step explanation:

\(p(y)=y^3+3y^2-5y-6 \\\\p(-3)=(-3)^3+3(-3)^2-5(-3)-6= \\\\-27+27+15-6= \\\\9\)

Hope this helps!

Answer:

p(-3)=9

Step-by-step explanation:

This question ask us to find p(-3), or what p(y) is when y is equal to -3.

We know that:

p(y)= y^3+3 y^2-5y-6

We want to find p(-3), so substitute -3 in for every y.

p(-3)= (-3^3)+3(-3^2)-5(-3)-6

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Solve the exponents first (-3^3 and -3^2)

-3^3=-3*-3*-3= -27

-3^2= -3* -3= 9

p(-3)= -27+ 3(9) -5(-3) -6

Next, multiply 3 and 9

p(-3)= -27+27-5(-3)-6

Then, multiply -5 and -3

p(-3)= -27+27+15-6

-27 and 27 equal 0, so they cancel each other out.

p(-3)=15-6

p(-3)= 9

Answer:

x=5

Step-by-step explanation:

set up the equation like this: JK+KL=JL

(15)+(10)=(5x)

calculate to find x!

x=5

Since the function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3.The option that is the correct expression for g(x) is option C: g(x) = 3x² + 3

In the above case,  we shall multiply the base function by the scale factor when stretching a function vertically. As a result, we have g(x) = 3 f. (x). Don't forget to share 3 to each term in f. (x).

g(x) = 3(x² + 1)

=3x² + 3

As a result, the appropriate formulation for g(x) is 3x² + 3.

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See complete question below

The function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3. Which of the following is the correct expression for g(x)?

 g(x) = 3x² + 1

g(x) = x² + 3

g(x) = 3x² + 3

g(x) = 3(x + 1)2

Answer:

y-step explanation:

Answer:

10o + 15g ≥ 500

Step-by-step explanation:

Variables:

O = oranges

G = grapefruit

10 boxes of oranges (10o) and 15 boxes of grapefruit (15g) are being added together (10o + 15g). The band wants to raise AT LEAST (greater than or equal to ≥) $500.00.

Put that together, and it's:

10o + 15g ≥ 500

Answer:

\(m^{15} n^{9}\)

Step-by-step explanation:

Answer:

your answer should 1\3x

Step-by-step explanation:

Answer:

6/8 = 12/18

Step-by-step explanation:

hope this helps :D

Answer:

/xxxxxxxxxxxxxxxxxxx

The dollar duration of the given bond is $3.71

Dollar duration:

Dollar duration means a linear approximation of how a bond's value will change in response to changes in interest rates.

Given,

Here we have to assume that a bond sells at $92.10 and its modified duration is 4.03.

And we need to compute dollar duration. answer with two decimal digits accuracy and the correct sign.

As per the formula of dollar duration, the values of

bond price = $92.10

duration = 4.03

interest rate = 0.01

So, the dollar duration is calculated as follows,

=> dollar duration = 0.01 x 92.10 x 4.03

=> dollar duration = 3.71

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Answer:

$40.05

Step-by-step explanation:

Why? Well, 15 keychains x $2.67 (per keychain) = $40.05

Answer: The answer is

-A

-D

-E

Step-by-step explanation:

Got 100%.

Have a Good Day!

The correct statement about the function of basketball is as follows:

A function is a relationship between two variables and in a function each value of x must have a value of y.

By watching the graph carefully we can see that the highest point at which the graph lies is (5.5,7) and in this question y element describes the height.

When we put value of x equal to 0 we found the value of y equal to 6 which shows the height.

The graph is symetric about the line at x=5.5 because it is decreasing at a constant rate.

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An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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If the triangles ABC and DEF are similar, then the measurement of line segment DE = 108.72 units.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

It is given that triangle ABC is similar to triangle DEF.

It can be seen in the image that ΔDEF is a dilated version of ΔABC.

In ΔABC the measurement of side AB = 23 units

In ΔABC the measurement of side BC = 11 units

In ΔDEF the measurement of side EF = 52 units

In ΔDEF the measurement of side DE = x units

Apply the formula for indirect measurement to find the measurement of side DE.

AB/DE = BC/EF

Substitute the values in the equation -

23/x = 11/52

23 × 52 = 11x

x = (23 × 52)/11

x = 1196/11

x = 108.72

Therefore, the measurement of DE is 108.72 units.

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well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

The exact solution for cos 2x is option A: -119/169.

To find the exact solution for cos 2x, we can use the double-angle identity for cosine, which states that:

\(cos 2x = cos^2x - sin^2x\).

Given that

sin x = -12/13 and cos x > 0, we can determine the value of cos x.

Since sin x = -12/13, we can use the Pythagorean identity to find cos x:

\(cos x = \sqrt{(1 - sin^2 x)\)

      = \(\sqrt{(1 - (-12/13)^2)\)

      = \(\sqrt{(1 - (144/169))\)

      = \(\sqrt{((169 - 144)/169)\)

      = \(\sqrt{(25/169)\)

      = 5/13

Now that we know cos x, we can substitute the values into the double-angle identity:

\(cos 2x = (5/13)^2 - (-12/13)^2\)

         = (25/169) - (144/169)

         = (25 - 144)/169

         = -119/169

Therefore, the exact solution of cos 2x is option A: -119/169.

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Answer:

3.2

Step-by-step explanation:

Simplify the expression.

Just divide the numbers.

The statement 'In order to calculate MACRS depreciation, the business needs to know the asset's original cost, the depreciation period, and which depreciation method (i.e. 200% declining balance) is used.' is false. because, the asset was used for both personal and business purposes, the business must calculate the percentage of business use in order to determine the correct depreciation deduction.

While the asset's original cost, depreciation period, and depreciation method are all necessary inputs for calculating MACRS depreciation, there are other pieces of information that are also required.

For example, the business must determine the applicable MACRS recovery period and the property's placed-in-service date, as well as any applicable conventions for calculating the depreciation.

Additionally, if the asset was used for both personal and business purposes, the business must calculate the percentage of business use in order to determine the correct depreciation deduction.

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Answer: 5.668

The decimal point for both values is in the same place so you would just add them up like any other number.

Answer:

5.668

Step-by-step explanation:

Check the above picture

Answer:

m=7, n=-1. (7, -1).

Step-by-step explanation:

4m+8n=20

-4m+2n=-30

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

10n=-10

n=-10/10

n=-1

4m+8(-1)=20

4m-8=20

4m=20+8

4m=28

m=28/4

m=7

Walt Disney holds the record for the most Academy Award nominations with 59 nods, while Edith Head holds the second-most with 52 nominations.

Walt Disney is considered to be one of the greatest animators and film producers in the world. He received a total of 59 Oscar nods and is the record holder for the most Academy Award nominations of all time. This great achievement was attained from a career that spanned over four decades.

Disney's work had a tremendous impact on the American film industry. He is known for pioneering new techniques in the animation industry, which helped to create some of the most memorable and beloved characters of all time. These characters include Mickey Mouse, Donald Duck, and many others.

The second-most Oscar nominations belong to Edith Head, who received 52 nods during her career as a costume designer. She was known for her work in Hollywood's Golden Age, which spanned from the 1920s to the 1960s. Her collaborations with famous filmmakers such as Alfred Hitchcock, Cecil B. DeMille, and others earned her a well-deserved reputation as one of the most respected and talented costume designers in the industry.

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Answer:

 -4

Step-by-step explanation:

From the graph:

When n=2 , a^n =9

When n=4, a^n =1

The average rate of change between n=2 and n=4 is :

\(Rate= \frac{{{a_{2} -a_{4} } } }{2-4} \\=\frac{9-1}{-2} \\=-4\\\)

The average rate of change is  -4

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To forecast using data that has seasonality, one commonly used method is seasonal decomposition of time series (STL). This method separates the time series data into three components: trend, seasonality, and residuals. By isolating the seasonal component, you can forecast future values by extrapolating the pattern observed in previous seasons.

Another approach is the use of seasonal autoregressive integrated moving average (SARIMA) models. SARIMA models are an extension of ARIMA models that incorporate seasonal patterns. These models capture both the trend and seasonality in the data and can be used to make forecasts.

To control volatility in various time series models, a common technique is to use a volatility model, such as the generalized autoregressive conditional heteroskedasticity (GARCH) model. This model estimates the volatility of the time series by incorporating past volatility and squared residuals. By modeling and forecasting the volatility, you can better understand and manage the potential fluctuations in the time series data.

A simple moving average method is a technique used to smooth out fluctuations and identify trends in time series data. It involves calculating the average of a fixed number of data points, often referred to as the window size or period. As new data becomes available, the oldest data point in the window is dropped, and the newest data point is included in the calculation. This process is repeated for each subsequent data point. The resulting moving average values can provide insights into the overall trend of the data, helping to identify patterns or changes over time.

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Answer:

4/5

Step-by-step explanation:

Using the points \((-2,5)\) and \((3,9)\), the slope is \(\frac{9-5}{3-(-2)}=\frac{4}{5}\).

the equation in slope-intercept form that represents the total number of riders over time is: Y = 33x + 132

To find the equation in slope-intercept form that represents the total number of riders over time, we need to find the slope and the y-intercept of the line. The slope of a line is the change in y divided by the change in x, or the rise over the run. In this case, the change in y between the first and second times is 165 - 132 = 33, and the change in x is 1 - 0 = 1. So the slope of the line is 33/1 = 33. The y-intercept is the point at which the line crosses the y-axis, or the value of y when x is 0. In this case, the y-intercept is 132, since that is the total number of riders at the beginning of Tara's shift when x is 0.

Therefore, the equation in slope-intercept form that represents the total number of riders over time is:

Y = 33x + 132

Note that the slope (33) is the coefficient of the x term, and the y-intercept (132) is the constant term.

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Answer:

The expected value of a single roll of this dice is 4.5.

Answer:

It will take them 7.89 days

Answer:

10²

Step-by-step explanation:

assume you typed 10.4 million

so 10³/10.4 ≈ 10²

She should dock her boat at 5.81 kilometers.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is traveling along a route.

Given:

Distance and rate to get to her grandmother's house, little red riding hood first rows a bot along a river at a speed of 10 km/hr and then walks through the woods at 4 km/hr.

If she starts from a point that is 7 km south and 12 km west of grandma's house,

then the distance is  d + √{(7−d)²+12²}.

The total time it takes her to reach her grandmother's house is:

d/10 + √{(7−d)²+12²}/4.

To find the value of d that makes the total time exactly 3 hours,

d/10 + √{(7−d)²+12²}/4 = 3.

2d + 5√(7−d)²+12² = 60

4d²+ 100d+25(7−d)² + 25(12²) = 3,600

d ≈ 9.19 or 5.81

Therefore, the only valid solution is d ≈ 5.81 kilometers.

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