Factor
20
r
+
60
t
20r+60t20, r, plus, 60, t to identify the equivalent expressions.

Hello

just a second

people reading this please complete because you will help me a lot.

I am an Indian girl my name is Lamer and am 13 years old.

I Just got this new device after working at a farm for 2 years.

I used to use brainly at my friend device she had money to buy brainly plus.

I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.  

Answer:

linear

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

It has mathematical proportion

A = P(1+r/n)(nt), where P is the original principal, r is the annual interest rate, n is the number of times the interest is compounded annually, and t is the number of years the money has been held, is the formula for compound interest.

To calculate the final amount of money in the account:

 First, divide the 8% annual interest rate by 100 to get a decimal value: 0.08.

Find the number of times the interest is compounded annually. Since it is done quarterly, the answer is n = 4.

Put these values into the formula now, along with the $1200 principle sum and the number of years, 5, to complete it:

A = $1200(1+(0.08/4))^(4*5) = $2490.07

  to determine how long it will take for the initial sum to double to $2400.

 Divide the final sum by the starting sum: 2400/1200 = 2

 Take the natural logarithm of 2: ln(2) = 0.693

Decimalize the result and divide it by the interest rate: 0.693 / 0.08 = 8.66 years

 Therefore, the time it will take for the initial sum of money to double to $2400 is 8.66 years.

To know more about compound interest at :

brainly.com/question/14740098

#SPJ4

a) The set A(1, 3, 5) is {1, 4, 7, 10, 13}. This set starts with 1 and adds 3 to each element, so the next element is 1 + 3 = 4, then 4 + 3 = 7, and so on. It continues this pattern until the number of elements is reached, which in this case is 5.

b) The set A(U, 6, T) depends on the values of U and T, which are not provided in the question. Without these values, we cannot determine the set.

c) We cannot prove that every element of A(U, 6, 7) is prime because the values of U and n are not provided in the question. Without these values, we cannot determine the elements of the set and therefore cannot determine if they are prime.

d) The book's notation for the set A((], 1, 6) is A[1], 1, 6]. The square brackets indicate that the starting value is inclusive, while the round brackets indicate that the ending value is exclusive.

e) To write out the set A(U, 6, 7) U A(10, 3, 5), we need the value of U, which is not provided in the question. Without this value, we cannot determine the elements of the set.

f) To write out the set A(2, 3, 4) U A((], 1, 6), we first find the elements of each set separately. A(2, 3, 4) = {2, 5, 8, 11} and A[1], 1, 6] = {1, 7}. Taking the union of these sets gives us A(2, 3, 4) U A[1], 1, 6] = {2, 5, 8, 11, 1, 7}.

g) To write out the set A(2, 3, 4) x A(2, 3, 4), we multiply each element of the first set with each element of the second set. A(2, 3, 4) = {2, 5, 8, 11}. Multiplying each element by itself gives us {4, 25, 64, 121}.

For the bonus question, there is no way to find values for b and s such that every element of A(U, 3, 5) is prime. The set A(U, 3, 5) includes all elements starting from U and adding 3, so there will always be even numbers in the set, making it impossible for all elements to be prime.

2. (a) To show that [P = Q] A [P A -Q) is a contradiction, we can construct a truth table. The truth table will show that the statement is false for all combinations of truth values for P and Q, indicating that it is a contradiction.

(b) To show that [P A (P =- (2)) =- Q is a tautology, we can also construct a truth table. The truth table will show that the statement is true for all combinations of truth values for P and Q, indicating that it is a tautology.

(c) To show that P = [Q = R) and (P A Q) => R are logically equivalent, we can compare their truth tables. If the truth tables for both statements are the same, then they are logically equivalent.

3. (a) The contrapositive of the statement "If it's Tuesday, then I have class" is "If I don't have class, then it's not Tuesday."

(b) The original statement and its contrapositive are true for me because I have class on Tuesday and don't have class on other days of the week.

(c) The converse of the statement "If it's Tuesday, then I have class" is "If I have class, then it's Tuesday."

(d) The converse is false for me because I have class on other days of the week as well, not just on Tuesdays.

(e) If the converse of the statement is true for a student's schedule, it means that they only have class on Tuesdays and no other days of the week.

(f) The negation of "every good boy does fun" is "there is at least one good boy who does not do fun."

(g) To prove or disprove (3 n E Z) (Vm E Z) n < m2, we need to find an integer n such that, for every integer m, n < m2. However, this statement is false because there are infinite integers that do not satisfy this condition. For example, if n is a negative integer, it will not be less than any positive integer squared. Therefore, the statement is disproved.

To know more about sets visit:

https://brainly.com/question/15573988

#SPJ11

The probability that every person gets his or her hat back is 1/n!

If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.

Think about the sample space for all hat assignments.

This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),

with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.

The likelihood of a single element occurring, hence the response is 1/n!

To learn more about equally likely function from given link

https://brainly.com/question/10282142

#SPJ4

Step-by-step explanation:

(a) To find the lower bound for the length of the rectangle, we need to subtract half of the smallest unit of measurement from the given measurement.

The smallest unit of measurement given is 1 mm, so half of that is 0.5 mm.

Therefore, the lower bound for the length of the rectangle is:

64 mm - 0.5 mm = 63.5 mm

(b) The perimeter of a rectangle is calculated by adding up the length of all four sides.

The lower bounds for the length and width of the rectangle are 63.5 mm and 36.5 mm, respectively.

So, the lower bound for the perimeter is:

2(63.5 mm + 36.5 mm) = 2(100 mm) = 200 mm

Answer and explanation below. Credits to Chris, Mechanical engineering college, Master's degree

Answer:

the answer is 56

Step-by-step explanation:

because i siad so

Answer:

Cameron found 23 quarters and 57 dimes.

Step-by-step explanation:

Let the number of quarters Cameron found = Q

And the number of dimes = D

Since, total number of coins were 80,

Q + D = 80 -----(1)

Total amount of the coins was $11.45,

0.1D + 0.25Q = 11.45

10D + 25Q = 1145

2D + 5Q = 229 -----(2)

Equation (1) multiplied by 2 then subtracted by equation (2),

(2D + 5Q) - 2(Q + D) = 229 - 2(80)

(2D - 2D) + (5Q - 2Q) = 229 - 160

3Q = 69

Q = 23

From equation (1),

23 + D = 80

D = 57

Cameron found 23 quarters and 57 dimes.

The option which shows the solution for x is `x greater than or equal to 2`.

From the question above, inequality is:-4≥10−7x

Simplify and solve for x by isolating x. First, isolate the term containing x on one side of the inequality. Thus, we subtract 10 from both sides of the inequality:-4 - 10 ≥ -7x-14 ≥ -7x

Multiplying both sides by -1/7 (note: when multiplying an inequality by a negative number, we reverse the direction of the inequality):

-14 × -1/7 ≤ -7x × -1/7

Simplifying, we get:2 ≤ x

Thus, the solution is: x≥2

Hence, the option which shows the solution for x is `x greater than or equal to 2`.

Learn more about inequality at

https://brainly.com/question/28774098

#SPJ11

Answer:5.91

Step-by-step explanation:

4.1+8.06 =12.16

then 12.16-12.5/2=5.91

Answer:

Function rule is option c.

Answer:

1/5

Step-by-step explanation:

There are 5 numbers and 5 sides on the shape making the chance 1/5

Answer:

Line

Step-by-step explanation:

You could draw a line up the center, and it would be symmetrical.

The total interest that amanda will earn is $24 and the total amount in the account including the interest is $324

Given that,

With $300, Amanda starts a savings account that pays basic interest at a 2% yearly rate. She plans to save for four years.

Total interest = PRT/100 where,

P  is Investment amount  = $ 300

R is Rate of interest = 2

T is Time in years = 4

Simple Interest = PRT/100 = (300 × 2 × 4 )/100 = 24

Therefore, Amanda will earn $24 total simple interest.

Total Amount = Principal + SI =300 + 24 =324

Therefore, The total amount in the account will be $324

To learn more about Simple interest click here:

brainly.com/question/22621039

#SPJ4

Divide the sides of the equation by -3/5 :

-3/5 ÷ -3/5 x = 6 ÷ -3/5

1 x = 6 × -5/3

x = -30/3

x = -10

and we're done.

good luck buddy ♥️♥️♥️♥️♥️.

The number of ways in which 6 people can be seated in a round table, if two friends must sit next to each other is 48 ways.

Permutation is mathematical calculation of the number of ways a particular set can be arranged. Its describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.

If we assume that certain configuration rotated is non-different configuration, then the number of permutations is (n - 1)!.

Since 2 people must be together, let’s take them as if they were one person, then the total permutations are ((6 – 1) - 1)! = 4! = 24. But for each configuration, then, that pair can sit in two differente ways, then the solution is 24 * 2 = 48.

Read more about Permutation

brainly.com/question/1216161

#SPJ1

The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.

The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.

The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.

To know more about classical model here

https://brainly.com/question/31246149

#SPJ4

Answer:

x= -1

Step-by-step explanation:

Hope this helped. <3

Answer:

X=-4

Step-by-step explanation:

3x-8=2X(x-6)

3x-8=2x-12

3x-2x=-12+8

x=-4

Answer:

0.25

Step-by-step explanation:

Answer: 0.25

Step-by-step explanation: take 100 divide by 2 get 50 so divide by 2 get 25 make 25 a decimal and u get 0.25 ( hope this helps!)

Answer:

The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

\(d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore\)

The formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges.

Part 1: The formula for the nth partial sum, Sn, for the series n(n-1), can be found by using the formula for the sum of the first n natural numbers, which is given by Sn = n(n+1)/2. To find the sum of n(n-1), we can rewrite it as n^2 - n and use the formula for the sum of the first n squares, which is given by n(n+1)(2n+1)/6. Therefore, the formula for Sn is Sn = n(n+1)(2n-1)/6.

Part 2: To determine whether the given series converges or diverges, we need to evaluate the limit of Sn as n approaches infinity. Taking the limit of the formula for Sn, we get lim Sn = lim [n(n+1)(2n-1)/6] = lim (2n^3/6) = lim (n^3/3) = inf. Since the limit of Sn is infinity, the series diverges.

In conclusion, the formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges as the limit of Sn approaches infinity. This means that the sum of the series does not converge to a finite value and grows without bound as n increases.

To learn more about Partial sums, visit:

https://brainly.com/question/30339367

#SPJ11

Answer:

\(\mathbf{6xe^xy+y^2e^x = C}\) which implies that C is the integrating factor

Step-by-step explanation:

The correct format for the equation given is:

\(y(6x+y +6)dx +(6x +2y)dy=0\)

By the application of the general differential equation:

⇒ Mdx + Ndy = 0

where:

M = 6xy+y²+6y

\(\dfrac{\partial M}{\partial y}= 6x+2y+6\)

and

N = 6x +2y

\(\dfrac{\partial N}{\partial x}= 6\)

∴

\(f(x) = \dfrac{1}{N}\Big(\dfrac{\partial M}{\partial y}- \dfrac{\partial N}{\partial x} \Big)\)

\(f(x) = \dfrac{1}{6x+2y}(6x+2y+6-6)\)

\(f(x) = \dfrac{1}{6x+2y}(6x+2y)\)

f(x) = 1

Now, the integrating factor can be computed as:

\(\implies e^{\int fxdx}\)

\(\implies e^{\int (1)dx}\)

the integrating factor = \(e^x\)

From the given equation:

\(y(6x+y +6)dx +(6x +2y)dy=0\)

Let us multiply the above given equation by the integrating factor:

i.e.

\((6xy+y^2 +6y)dx +(6x +2y)dy=0\)

\((6xe^xy+y^2 +6e^xy)dx +(6xe^x +2e^xy)dy=0\)

\(6xe^xydx+6e^xydx+y^2e^xdx +6xe^xdy +2ye^xdy=0\)

By rearrangement:

\(6xe^xydx+6e^xydx+6xe^xdy +y^2e^xdx +2ye^xdy=0\)

Let assume that:

\(6xe^xydx+6e^xydx+6xe^xdy = d(6xe^xy)\)

and:

\(y^2e^xdx +e^x2ydy=d(y^2e^x)\)

Then:

\(d(6xe^xy)+d(y^2e^x) = 0\)

\(6d (xe^xy) + d(y^2e^x) = 0\)

By integration:

\(\mathbf{6xe^xy+y^2e^x = C}\) which implies that C is the integrating factor

Answer:

its 8^16

Step-by-step explanation:

let 8=8^1

when dividing exponents, you subtract the exponents

8^17/8=8^(17-1)=8^16

Hope this helps

Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.

Therefore, the answer is 0 and π.

f(θ) = 2cos(θ) +(sin(θ))²

f'(θ) = -2sin(θ) +2sin(θ)cos(θ)

Critical values of f are points at which f' is zero or not defined.

For all values of θ, we can find that f'(θ) is defined.

f'(θ) = 0

-2sin(θ) +2sin(θ)cos(θ) = 0

cos(θ) - 1 = 0 or sin(θ) = 0

cos(θ) = 1

θ = nπ, n = 0, 1, 2, ...

sin(θ) = 0

θ = nπ, n = 0, 1, 2, ...

Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.

2π is not there as it is not included in the interval.

To know more on critical values

https://brainly.com/question/36886

#SPJ4

Answer:

680

Step-by-step explanation:

x = total number

.6x  = bus riders = 408              (.6 is decimal for 60%)

.6x = 408

x = 408/.6 = 680

Answer:

Solution:

Hence the value of x=4

Answer:

I think its 8

Step-by-step explanation:

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

Learn more about vertex of a square here: https://brainly.com/question/23627218

#SPJ1