Me. Perry pays $340 per month to lease her car. How much will she pay to lease her car for two years

Answer:

5/4

Step-by-step explanation:

In the first graph, we have that the whole figure is 1

it is divided in 4 parts:

Then, we want to divide 1 into 4 parts. That is

Then, we have that:

It is the same for the second figure:

Each 1/4 corresponds to each part. Then if we add them:

Answer:

Initial Question: How to find percent of a number?

What I know: Percents can be written as decimals.

Points of confusions: What do I do next after turning the percent into a decimal?

Steps: *Example* What is 60% of 30:

60% = .60

.60 x 30 = 18

Step-by-step explanation:

Hope this helps.

a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.

Here are the three functions given:

f(x) = x -4

g(x) = 2x + 2

c(x) = x + 1

a) The product of function f(x) and g(x)

f(x). g(x) = (x -4). ( 2x + 2)

= x( 2x + 2) - 4(2x + 2)

= 2x² + 2x - 8x - 8

= 2x² - 6x -8

b) product of function f(x). g(x) and a(x)

f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)

= x( 2x² - 6x - 8) + 1(2x² -6x - 8)

= 2x³ - 6x² -8x + 2x² - 6x -8

= 2x³ -4x² - 14x - 8

Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.

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The price of one pill is approximately $0.04.

Division is the mathematical operation used in grouping a number into equal parts using another number. The price of one pill can be determined by dividing the total cost of a number of pills by that number.

Price of one pill = cost of 50 pills / 50

$2.05 / 50 = $0.04

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Step-by-step explanation:

\(w = \frac{1}{2} {x}^{2} y \\ (2)w = \frac{1}{2} {x}^{2} y(2) \\ 2w = {x}^{2} y \\ \frac{2w}{ {x}^{2} } = \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y\)

\(y = \frac{2x}{ {x}^{2} } \\ \)

Answer:

D

Step-by-step explanation:

She made a mistake when she subtracted x1 from x2.

Step 1 :

a)

The formula used by Lorena to calculate the slope between 2 points is correct

So the statement given in option 1 is not the reason for her mistake

Step 2:

b)

She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope

Hence the statement in second option is not true

Step 3:

c)

While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.

Hence she has made a mistake in subtracting x1 from x2 and this statement is true

Step 4:

d)

She has not made any mistake in subtracting y1 from y2. Hence this statement is not true

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Answer:

32

Step by step explanation

Answer:

E

Step-by-step explanation:

Here, we want to find the area of the shaded portion on the graph.

That would be P(-1.2<z<0.85)

we complete this by checking these values on the standard score table as follows;

P( z< 0.85) - P(z<-1.2) = 0.68727

For every 50 y, there is 1 hour

The differential equation for the balance B in an investment fund with time, t, measured in years A) dB/dt= 0.05B - 11,000.

To write a differential equation for the balance B in an investment fund with time, t, measured in years, we can use the following information:

- The balance is earning interest at a continuous rate of 5% per year
- Payments are being made out of the fund at a continuous rate of $11,000 per year

Let's start by considering the interest earned on the balance. At a continuous rate of 5% per year, the interest earned can be expressed as 0.05B (where B is the balance). This represents the rate of change of the balance due to interest.

Now let's consider the payments being made out of the fund. At a continuous rate of $11,000 per year, the payments can be expressed as a constant rate of change of -11,000.

Putting these two rates of change together, we can write the differential equation for the balance B as:

dB/dt = 0.05B - 11,000

This equation represents the balance B as a function of time t, with the rate of change of B being equal to the interest earned (0.05B) minus the payments being made (-11,000) at any given time t.

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The differential equation for the balance B in an investment fund with time, t, measured in years A) dB/dt= 0.05B - 11,000.

To write a differential equation for the balance B in an investment fund with time, t, measured in years, we can use the following information:

- The balance is earning interest at a continuous rate of 5% per year
- Payments are being made out of the fund at a continuous rate of $11,000 per year

Let's start by considering the interest earned on the balance. At a continuous rate of 5% per year, the interest earned can be expressed as 0.05B (where B is the balance). This represents the rate of change of the balance due to interest.

Now let's consider the payments being made out of the fund. At a continuous rate of $11,000 per year, the payments can be expressed as a constant rate of change of -11,000.

Putting these two rates of change together, we can write the differential equation for the balance B as:

dB/dt = 0.05B - 11,000

This equation represents the balance B as a function of time t, with the rate of change of B being equal to the interest earned (0.05B) minus the payments being made (-11,000) at any given time t.

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Step-by-step explanation:

the same scale factor has to apply to all sides.

we see for the left vertical side that for C it is 3 units long, for D it is 2 units long.

so, the scale factor is

3/2 = 1.5

to go from D to C we have to multiply all lengths by 1.5.

Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].

The domain of a function is the set that contains all possible input values.

In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].

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Answer:

C

Step-by-step explanation:

If you  find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.

Answer:

168

Step-by-step explanation:

Answer:

1/5=0.2

0.3=3/10

1/2=0.5

7/10=0.7

3/4=0.75

There are 4n people in a company. The owner wants to pick one main manager. ond 3 Submanagars. The owner of a company with 4n people can pick one main manager and 3 submanagers in 4n ways.

The owner has 4n choices for the main manager. Once the main manager has been chosen, there are 3n choices for the first submanager. After the first submanager has been chosen, there are 2n choices for the second submanager. Finally, after the second submanager has been chosen, there is 1n choice for the third submanager.

Therefore, the total number of ways to pick the 4 managers is 4n * 3n * 2n * 1n = 4n.

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Answer:

Step-by-step explanation:

1 inch

Answer: d

Step-by-step explanation:

Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8

The 90% confidence interval for the mean GPA of all accounting students at the university is (2.765, 2.835). We are given a random sample of 36 accounting students with a mean of 2.80 and a standard deviation of 0.12.

To construct the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √Sample Size)

Since the population is normally distributed, we can use the z-distribution. For a 90% confidence level, the critical value is approximately 1.645.

Plugging in the values, we have:

Confidence Interval = 2.80 ± (1.645) * (0.12 / √36)

Calculating the values, we get:

Confidence Interval = 2.80 ± 0.035

Therefore, the 90% confidence interval for the mean GPA of all accounting students at the university is (2.765, 2.835). This means that we are 90% confident that the true mean GPA of all accounting students falls within this interval.

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Answer:

41

Step-by-step explanation:

The two shapes are a mirror of each other.

Answer:

41

Step-by-step explanation:

anything that is reflected does not change size so the length stays the same

Answer:

66 sweets

Step-by-step explanation:

Step one:

We are told that the ratio for sharing the sweet is 4:7

that is Jack takes 4 parts and Josh takes 7 paths

If Josh got 18 more

then Let the amount that Jack got be x

so that Josh got x+18

step two:

applying the part to part method, we can find the quantity each of them go

4/7= x/x+18

cross multiply

7x= 4x+72

collect like terms

7x-4x= 72

3x=72

divide both sides by 3

x= 72/3

x= 24

so  Jack got 24 sweets

and Josh got 24+18=42 sweets

in all the sweets = 66 sweets

Answer:

14

Step-by-step explanation:

You multiply the negatives and then you get the positive.

Answer:the length of the Lunch area= 68 feet

Step-by-step explanation:

Since width of lunch area is given = 10 6/13 feet

and Length  of the lunch area is 6 1/2 times it's width.= 6 1/2  x Width

Length =   6 1/2 x 10 6/13

changing to improper fraction foe easy solving

13/2 x 136/13

13 cancels out 13, we are left with

136/2 =68 feet

The required solution is x = (25/11) × log(70/17).

It is required to give exact answers, not decimals.

Therefore, the given equation is 1.7(2.8)⁴ˣ = 7(4.6)ˣ.

This can be simplified as follow

s;1.7 × (2⁹/5)⁴ˣ = 7 × (2⁴⁶/10)⁽ˣ/⁵⁾

1.7 × 2³⁶ˣ/25 = 7 × 2²³ˣ/5

Now, divide both sides of the equation by 2^23x/5;

1.7 × 2⁽³⁶ˣ/²⁵ ⁻ ²³ˣ/⁵⁾= 7

Simplify the left side;

1.7 × 2⁽¹¹ˣ/²⁵⁾ = 7

Now, divide both sides by 1.7;

2⁽¹¹ˣ/²⁵⁾ = 70/17

Take log on both sides;

log(2⁽¹¹ˣ/²⁵⁾)) = log(70/17)11x/25 × log(2) =

log(70/17)x = (25/11) × log(70/17)

Thus, the required solution is x = (25/11) × log(70/17).

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The regression model has predictive power at the 0.01 level.

The test statistic for this hypothesis test is the F-statistic, which is calculated as:

F = (R2 / k) / ((1 - R2) / (n - k - 1))

where k is the number of predictors (in this case, k = 6) and n is the sample size (n = 37).

Using the reported value of R2 = 0.83, we can calculate the F-statistic as:

F = (0.83 / 6) / ((1 - 0.83) / (37 - 6 - 1)) = 15.22

For this test, the critical value is F0.01,6,30 = 4.03.

Since the calculated F-statistic (15.22) is greater than the critical value (4.03), we can reject the null hypothesis and conclude that the regression model has predictive power at the 0.01 level.

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We reject the null hypothesis and conclude that the chosen model is useful at the 0.01 level of significance.

To decide whether the chosen model is useful or not, we need to perform a hypothesis test for the significance of the regression model. The null hypothesis is that the regression model is not useful, which means that all the regression coefficients are equal to zero.

The alternative hypothesis is that the regression model is useful, which means that at least one regression coefficient is not equal to zero.

We can use the F-test for the significance of the regression model. The test statistic is given by:

F = (SSR/p) / (SSE/(n - p - 1))

where SSR is the regression sum of squares, SSE is the error sum of squares, p is the number of independent variables (excluding the intercept), and n is the sample size.

The regression sum of squares is given by:

SSR = ∑(ŷi - ȳ)²

where ŷi is the predicted value of Y for the ith observation, and ȳ is the mean of Y.

The error sum of squares is given by:

SSE = ∑(yi - ŷi)²

where yi is the observed value of Y for the ith observation.

The degrees of freedom for the numerator and denominator of the F-test are p and n - p - 1, respectively.

Using the given data, we have:

n = 37

p = 6

R² = 0.83

We can calculate the regression sum of squares and error sum of squares using the formulae:

SSR = R² × SST = R² × ∑(yi - ȳ)² = 0.83 × 266.49 = 221.40

SSE = SST - SSR = ∑(yi - ȳ)² - ∑(ŷi - ȳ)² = 266.49 - 221.40 = 45.09

where SST is the total sum of squares, which is given by:

SST = ∑(yi - ȳ)² = 266.49

The degrees of freedom for the F-test are p = 6 and n - p - 1 = 30.

The critical value of F for α = 0.01 and (p, n - p - 1) = (6, 30) is 4.26.

The computed value of F is:

F = (SSR/p) / (SSE/(n - p - 1)) = (221.40/6) / (45.09/30) = 42.53

Since the computed value of F (42.53) is greater than the critical value of F (4.26), we reject the null hypothesis and conclude that the chosen model is useful at the 0.01 level of significance. This means that at least one of the regression coefficients is not equal to zero, and the model as a whole explains a significant amount of the variation in species richness.

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