Cuánto interés ganará lesli si presta l 5000 a pagar en 3años? al:5%simple anual. 10%simple anual. 5%compuesto anual

The population of a suburb is growing at a rate of dp/dt = 75 - 15t^2/3 people per year. To find the function to describe the population t years from now, we need to integrate this rate equation.

The population of a suburb is growing at a rate of dp/dt = 75 - 15t^2/3 people per year. To find the function to describe the population t years from now, we need to integrate this rate equation.

dp/dt = 75 - 15t^2/3

Integrating both sides with respect to t we get;⌠dp = ⌠(75 - 15t^2/3) dt

Integrating, we get; p = 75t - 5t^5/9 + C

Where C is the constant of integration. We know that the present population is 8000 people. So, when t = 0, p = 8000. Using this value, we can find C.

8000 = 75(0) - 5(0)^5/9 + CC = 8000

So the function to describe the population t years from now is; p = 75t - 5t^5/9 + 8000

Thus, the population function of the suburb t years from now can be given by the equation;

p = 75t - 5t^5/9 + 8000.

The equation is obtained by integrating the given rate of population growth equation. To find the constant of integration, we use the present population, which is 8000 people. Therefore, the equation can be used to find the population of the suburb t years from now.

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Answer:

$24.32

Step-by-step explanation:

I'm assuming that this is combining percentages, so we just need to multiply twice.

38*4/5=30.40

30.40*4/5=24.32

$24.32

Answer:

X= -6 (B)

Step-by-step explanation:

-3x=18

X=18/-3

X= -6

Answer:

C. five samples.

Step-by-step explanation:

Answer: undefined

This is because the x value is 5, which means that there is no horizontal movement of the line. So therefore, the line is vertical. And vertical lines have an undefined slope.

Hope this helps!

Answer:

the slope is just x= 5

Step-by-step explanation:

because if its just going streight down it would just be a line on x axis on 5

Answer:

Answer a) length = x - 2

Answer b) area = 6x - 12

Answer c) perimeter = 2x + 8

Step-by-step explanation:

Any rectangle has a width and a length.

Given is width = 6 cm

The length is at this moment unknown, but we know something important. The length of this rectangle is 2 less than the diagonal. Lets call the length of the diagonal as x.

So although we do not actually know how long the diagonal is, we can still "pretend" it's value to be x. That is perfectly allowed, isn't it?

That way, the length = x-2. ( because that info was also given). Just don't worry to leave x in your answer :-).

Answer a) length = x - 2

So length = x - 2 and width = 6

The rest is easy!

area = width * length

area = 6 * (x - 2)

Answer b) area = 6x - 12

perimeter = 2 * width + ( 2 * length )

perimeter = 2 * 6 + ( 2 * (x - 2) )

perimeter = 12 + ( 2x - 4 )

perimeter = 2x + 8

Answer c) perimeter = 2x + 8

Answer:

\(b. (x + 10)(x + 1)\)

\( {x}^{2} + 11x + 10\)

\(x(x + 10) + x + 10\)

factor out x from the expression

\(x(x + 10) + x + 10\)

factor out x +10 from the expression

\((x + 10)(x + 1)\)

then its the answer

i hopenit helps , even though it was just my.....own opinion .....answer

Answer:

17

Step-by-step explanation:

just trust

Do you think it's 15?

Actually I don't know, but I hope it's right!

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

a) mv = Mv.

b) The columns of M are dependent where [v1, v2, ..., vn]T is a vector combination

If a matrix M is multiplied by a vector v, the result will be a linear combination of the columns of the matrix. That is, if M is an m×n matrix and v is a vector with n entries, then the product Mv is a linear combination of the columns of M with coefficients from v. Thus, mv = Mv.

If the columns of M are linearly dependent, it implies that they are multiples of each other, i.e., one column is equal to a scalar multiple of another column, which can be written as an equation of the form, ci = aj where c and a are scalar multiples of jth and ith columns of M, respectively.

Hence, when we compute Mv, the linear combination of the columns of M will depend on the scalar multiples c and a.

For instance, let us assume that column j and i of M are linearly dependent. We have;

ci = aj or

M(:,j) = a*M(:,i)

where M(:,j) and M(:,i) represent jth and ith columns of M, respectively. Then, we can express M as;

M = [M(:,1), ..., M(:,j-1), M(:,i), M(:,j+1), ..., M(:,n)] = [M(:,1), ..., M(:,j-1), a*M(:,i), M(:,j+1), ..., M(:,n)]

Thus, we can rewrite the product Mv as;

Mv = [M(:,1), ..., M(:,j-1), a*M(:,i), M(:,j+1), ..., M(:,n)][v1, v2, ..., vn]T

where [v1, v2, ..., vn]T is a vector combination of the columns of M.

Therefore, if a linear combination of the columns of M results in the zero vector, it implies that the columns of M are dependent.

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The required probability that the sample mean courtship time is between 115 min and 135 min is 0.5269.

We know that probability is defined as the proportion of number of favorable outcomes to the total number of outcomes.

Probability implies plausibility. A piece of math deals with the occasion of a sporadic event. The worth is communicated from zero to one. Likelihood has been acquainted in Maths with foresee how likely occasions are to occur.

The significance of likelihood is essentially the degree to which something is probably going to occur. This is the fundamental likelihood hypothesis, which is likewise utilized in the likelihood dispersion, where you will get familiar with the chance of results for an irregular examination. To track down the likelihood of a solitary occasion to happen, first, we ought to know the complete number of potential results.

We have μ=115min

n=50

P(x₁<X<x₂)=P(z₂< (x₂-μ) /S.D) -P(z₁<(x₂-μ)/S.D)

S.D=√(σ²/ n)

=>S.D=√(115)²/50

=>S.D = √(13225)/50

=>S.D = √264.5

=>S.D = 16.26

P(115<X<135)=P(z₂< (135-115)/16.26)-P(z₁ <(100-115) / 16.26)

=>P((115<X<135)=P(z₂<20/16.26)-P(z₁< -15/16.26)

=>P(115<X<135)=P(z₂<1.23) - P(z₁<-0.922)

From the probability distribution table

P(z₂<1.23)=0.6255

P(z₁<-0.922)=0.0986

P(115<X<135)=0.6255-0.0986

=>P(115<X<135)=0.5269

Hence, required probability is 0.5269

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The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

The first one.

Step-by-step explanation:

Graph lines as if the inequalities were equal signs.

X = -3 is a vertical line at x = -3, because it's less than we shade to the left. All numbers less than -3 are to the left. The line is dashed because there is no equal to. Only less than. The line is not included in the solution set.

y = -x - 1 is a line with a y-intercept of -1 and a slope of -1. All values that are less that y are below the line. Because it's less than or equal to the line is solid.

Answer:

A

Step-by-step explanation:

The vertical line  is dotted at -3 and shaded to the left

x < -3

This gives us two choices left

A and C

The other line has a y intercept at -1 and is solid and shaded to the left

It is of the form

y ≤ mx+1  

We know the slope is negative since is goes down from left to right

The only Choice is A

the coordinates of point B are (-4, 9).

To find the coordinates of point B using the section formula, which divides the line segment AC in a specific ratio, we can proceed as follows:

Let the coordinates of point B be (x, y).

According to the given condition, point B is three times as close to point A as it is to point C. This means that the ratio of the distances AB to BC is 3:1.

Using the section formula, we have:

x = (1 * (-7) + 3 * (-3))/(1 + 3)

  = (-7 - 9)/4

  = -16/4

  = -4

y = (1 * 18 + 3 * 6)/(1 + 3)

  = (18 + 18)/4

  = 36/4

  = 9

Therefore, the coordinates of point B are (-4, 9).

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(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

2π + 24 m² = 30.3 m²(3 s.f.)

Step-by-step explanation:

Area of rectangle: l x w

6 x 4 = 24 m²

Area of semicircle: πr²/2

r = 4/2 = 2

π x 2² / 2

4π / 2

2π

Total area: 2π + 24 m² = 30.3 (3 s.f.)

The amount that the sales tax add to the purchase price is $5992.

Using this formula

Sales price=Purchase price-(Purchase price×Sales tax)

Where:

Purchase price=$5600

Sales tax=7%

Let plug in the formula

Sales price=$5600+($5600×7%)

Sales price=$5600+$392

Sales price=$5992

Inconclusion the amount that the sales tax add to the purchase price is $5992.

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Hello!

1/6 ≈ 0.167

the answer is 0.167

-13+4x

Step-by-step explanation:

Determine the opposite number of -4x +13 :

⬇️

-13 + 4x

Answer:

E= 36 D=102 F=42

Step-by-step explanation:

E= 36 because of the vertical angles theorem, d =102 because of vertical angles theorem, and finally we have f = 42 because all these angles form a straight angle/line which adds up to 180. So before we knew that d=102 and e=36 so we can add those up and we get 138. Then we subtract 132 from the measure of a straight angle (180 degrees), to get f. SO 180-132 =f=42

Answer:

range: {6, 1, -1}

Step-by-step explanation:

y = 4-x

when x = -2, y = 6

when x = 3, y = 1

when x = 5, y = -1

Answer:-49

Step-by-step explanation:(10,1)= (x,y) so we can see that x=10 and y=1. Now you put them in the equation 1=b+5*10. Then you get 1=b+50 and you put 50 to the left side and it becomes negative. 1-50=b . Therefore b=-49

Answer:

Step-by-step explanation:

y = 5x + b ⇒ b = y - 5x

(10, 1)

b = 1 - 5(10) = 1 - 50 = - 49

b = - 49

Answer:

c

Step-by-step explanation:

Answer:

What is the question? It is incomplete

Step-by-step explanation:

Please mark as brainliest !!!!!

pppppllllllllllssssssss

Answer:

heres ur answer x=2

heres what i used to solve it PEMDAS

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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(a) The correlation coefficient between 1/2y1 and 3/4y2 is 0.2. (b) The correlation coefficient between 1/2y1 and 3/-4y2 is -0.2. (c) The correlation coefficient between 1/-2y1 and 3/-4y2 is 0.2.

The correlation coefficient measures the linear relationship between two variables and takes values between -1 and 1. If the correlation coefficient is positive, then the variables tend to increase or decrease together, while a negative correlation coefficient indicates that the variables tend to move in opposite directions. In this problem, the correlation coefficient between y1 and y2 is given as 0.2.

To find the correlation coefficient between the given combinations of variables, we use the formula r_xy = cov(x,y) / (s_x * s_y), where cov(x,y) is the covariance between x and y, and s_x and s_y are their respective standard deviations. We also use the properties of covariance and standard deviation to simplify the calculations.

For example, for part (a), we have cov(1/2y1, 3/4y2) = (1/2)(3/4)cov(y1,y2) = (3/8)(0.2)(5)(5) = 1.5, and s_x = (1/2)(5) = 2.5 and s_y = (3/4)(5) = 3.75, so r_xy = 1.5 / (2.5 * 3.75) = 0.2. Similarly, we can compute the correlation coefficients for parts (b) and (c).

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Answer:

c

Step-by-step explanation:

The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

What is the factor?

Factor is a mathematical expression or a number that divides another expression or number evenly. The factor of an expression is a number that divides the expression evenly, leaving no remainder.

The expression 3y - 18 can be factored using the greatest common factor (G.C.F.) of 3.

The G.C.F. of 3 and 3y is 3.

So, 3y - 18 can be factored as:

3 * (y - 6)

Hence, The factored form of 3y - 18 using the G.C.F. is 3 * (y - 6).

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