Terry has an investment account which compounds interest continuously at a rate of 1.4%. He puts $1600 in the account initially. After 3 years, how much money is in the account?

The standard form the linear function is f(x)= -3x-3.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=5x+3. Where:

m= the slope. It can be calculated for Δy/Δx .

b= the constant term that represents the y-intercept.

For the given example: m=5 and b=3.

You should replace in the minimum two given values for x and y in the standard form for a linear equation mx+b . Thus, you will write a system linear where from it, you can find the coefficients m and b. See below.

       y=mx+b

      -3=0*m+b

      -3=b

       y=mx+b

      3= -2*m+b

Now, you find b=-3, then

      3= -2*m-3

      3+3= -2m

       6=-2m

       m= -3

Thus, you can write f(x)= -3x-3.

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Answer:

x=6/5

Step-by-step explanation:

6=2x+3x

5x=6

x=6/5

For the given function f(x) = x^2 - 2x + 1, the difference quotient is {2x + h - 2]

Here we have the function f(x) = x^2 - 2x + 1

And we want to find the difference quotient, which is:

( f(x + h) - f(x))/h

Replacing the actual function there we get:

[ (x + h)^2 - 2*(x + h) + 1 - x^2 + 2x - 1]/h

Now we can simplify the numerator, we will get:

[ x^2 + 2xh + h^2 - 2x - 2h + 1 - x^2 + 2x  -1]/h

[2xh + h^2 - 2h]/h

Taking the quotient we get:

{2x + h - 2]

That is the difference quotient for the function f(x).

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Answer:(2,2)

Step-by-step explanation:

because if you follow the steps you will end up there

Answer:

Explained through Step-by-step (Showed Work)

Step-by-step explanation:

Question: Show how 2/5 + 4/10 is the same as 4/5

Step-by-step:

2/5 and 4/10 are fractions. (So is 4/5)

To add fractions together, we need the denominators to be the same. This means that the bottom number of 2/5, which is 5 and the bottom number of 4/10 which is 10 have to be the same.

The easiest way to do this is to simplify 4/10. To simplify 4/10, we divide both the numerator (top number) and the denominator (bottom number) by the Greatest Common Factor.

In this case, 2 is the Greatest Common Factor because 4 divided by 2 is 2 and 10 divided by 2 is 5.

so, 4/10 can be simplified to 2/5.

Now, we can add 2/5 and 2/5 together by only adding the numerators. 2 + 2 = 4

so, 2/5 + 2/5 = 4/5

4/5 = 4/5

Therefore, 2/5 + 4/10 is the same as 4/5.

Hope this helps

Answer:12.8

Step-by-step explanation: u just round it

Answer:

B. -1

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x+7=2x+13

Step 1: Subtract 2x from both sides.

−4x+7−2x=2x+13−2x

−6x+7=13

Step 2: Subtract 7 from both sides.

−6x+7−7=13−7

−6x=6

Step 3: Divide both sides by -6.

−6x/−6 = 6/−6

x=−1

Both games A as well as B are unfair.

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Answer:

Q is the point (3, 4).

Step-by-step explanation:

The formulae for the coordinates of a point (h, k) which divides a line  joining the points (x1, y1) and (x2, y2) in the ratio m : n is:

h = (mx2 + nx1) / (m + n), k = (my2 + my1)/(m+n)

Now we have S = (x1, y1) = (-2, -6) and T = (x2, y2) = (5, 8) and

m = 5 and n = 2.

So here, for point Q:

h = (5*5) + 2*-2)/(2+5)

    = 21/7

     = 3.

k = (5*8 + (-6*2) / 7

   = 28/7

    = 4.

The probability that Alysha will win the bet is 0.12013

Let ‘x’ be the number of cute boys from next 20 persons that enter the library

And assume x be the integral values from 0 to 20

Given, the probability is 50% that the next person that enters the library is a cute boy,

total number of trials n=20 and probability of success p=50% = 0.5 = 1/2.

Hence, the p.m.f of X is given by

fX(x) = 20Cx(1/2)x(1−1/2)20−x

=20Cx(1/2)x(1/2)20−x

=20Cx(1/2)20

=20!(20−x)!x!⋅ 1220

=0,1,2,…,19,20

and the probability that X=x,

thus

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20.

In particular, for X=x=12

P(X=12)=20!(20−12)!12!⋅1220

=20!8!12!⋅1220

≈0.12013

Hence, the probability that exactly 12 persons of the next 20 persons that walk into the library are cute boys is only approximately 0.12013.

Therefore, 0.1203 is less than 0.5, then it is more probable that Alysha will lose the bet than win it.

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17 times theo will need to measure the flour for  both the recipes.

Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems. B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.

The order of operations (or operator precedence) in mathematics and computer programming refers to a set of rules that represent standards for which operations to carry out first in order to evaluate a specific mathematical expression. For instance, since the advent of contemporary algebraic notation, multiplication has been given a higher priority than addition in mathematics and most computer languages.

As a result, 1 + (2 3) = 7 rather than 1 + (2 3) = 9 is the value assigned to the expression 1 + 2 3. Exponents were first used in the 16th and 17th centuries, when addition and multiplication were given priority. Exponents could only be used as a superscript to the right of their base. Consequently, 3 + 52 = 28 and 3 52 = 75.

first add the total amount of flour =

   =   [tex]1\frac{1}{2} + 2\frac{3}{4}[/tex]

   = 1.5 + 2.75

   = 4.25

no. of times = 4.25 * 4/1 = 17 times

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Answer:

yall smart

Step-by-step explanation:

Kyla should babysit for 9.5 hours to buy the dress.

Double number line represents the comparison of numbers by representing them in equal ratio. The required double number line for the question is attached as figure.

The row I indicates the amount earned and row II indicates the number of hours Kyla should babysit. As is evident from the double number line, the average of last two amounts is the amount required by Kyla. Calculations are as follows -

Required amount = (49.5 + 55)/2

Required amount = 52.25

Now, the time between last two columns of row II will also be taken as average for calculation. So, time required to earn 52.25 after earning 49.5: (9 + 10)/2

Time = 0.5

Total time required to babysit = 9 + 0.5

Total time = 9.5 hours

Thus, Kyla should babysit for 9.5 hours to buy the dress.

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The complete question is -

While shopping, Kyla found a dress that she would really like, but it cost $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit $52.25 to buy the dress. Use a double number line to support your answer.

The probability that the inspector finds exactly one nonconforming part is 0.4091.

Combination is a selection of items from a collection in which the order of selection is irrelevant. Probability is defined as the ratio of favorable outcomes to total outcomes.

Now, according to the question;

Let X represent the event in which the inspector discovers a nonconforming part.

An inspector selects three parts at random from among the twelve, and two cavities have been affected by a temperature malfunction, resulting in parts that do not meet specifications.

The total number of ways to select three parts from a total of twelve is ¹²C₃ = 220.

The number of possible ways for an inspector to identify just one defective part is:

²C₁×¹⁰C₂ = 2×45

²C₁×¹⁰C₂ = 90

The likelihood that the inspector will discover exactly one nonconforming part is provided by:

P (x=1) = (²C₁×¹⁰C₂)/¹²C₃

          = 99/220

P (x=1) = 0.4091

The inspector has a 0.4091 chance of finding exactly one nonconforming part.

Now, the probability that inspector finds no nonconforming parts is given by:

P (x=0) = ¹⁰C₃×¹²C₃

           = 120/220

P (x=0) = 0.5455

Therefore, the inspector has a 0.5455 chance of finding exactly none nonconforming part.

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The complete question is-

Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 12 cavities in which parts are produced, and these parts fall into a conveyor when the press opens. An inspector chooses 3 parts from among the 12 at random. Two cavities are affected by a temperature malfunction that results in parts that do not conform to specifications. what is the probability that the inspector finds exactly one nonconforming part?

The equation in slope intercept form to represent the relationship is y = 12x + 15

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a line is:

y = mx + b

Where m is the slope (rate of change) and b is the initial value of y.

Let y represent the total amount paid for renting a boat for x hours.

From the table, using the points (1, 27) and (3, 51):

The equation of the line is given as:

y - 27 = [(51 - 27)/(3 - 1)](x - 1)

y = 12x + 15

The equation in slope intercept form to represent the relationship is y = 12x + 15

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The statement " Every integer is also a n irrational number" is false

Given,

The statement a

"Every integer is also a real number"

We know every integer is also is also a real number so the statement is true

Statement b

"Every irrational number is also a real number "

We know every irrational number is real number so the statement is true

Statement c

"Every integer is also an irrational number"

We know every integer is rational number but every integer is not irrational number so the statement is false

Statement d

"No irrational number is rational"

We know no irrational number is rational number so the statement is true

Hence, The statement " Every integer is also a n irrational number" is false

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Answer:

[tex] \sf \large \: x=7 or x=−3[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

|x+8|=|2x+1|

Solve Absolute Value.

|x+8|=|2x+1|

We know eitherx+8=2x+1orx+8=−(2x+1)

x+8=2x+1(Possibility 1)

x+8−2x=2x+1−2x(Subtract 2x from both sides)

−x+8=1

−x+8−8=1−8(Subtract 8 from both sides)

−x=−7

−x/−1 = −7/−1

(Divide both sides by -1)

x=7

x+8=−(2x+1)(Possibility 2)

x+8=−2x−1(Simplify both sides of the equation)

x+8+2x=−2x−1+2x(Add 2x to both sides)

3x+8=−1

3x+8−8=−1−8(Subtract 8 from both sides)

3x=−9

3x/3 = −9/3

(Divide both sides by 3)

x=−3

Check answers. (Plug them in to make sure they work.)

x=7(Works in original equation)

x=−3(Works in original equation)

Answer:

7

Step-by-step explanation:

x+8=2x+1

Subtract x on both sides. Subtract 1 on both sides

x=7

Answer: You should try to figure out the job you want and do that and maybe make a bucket list. Also, live your future out and your hapiness is what counts.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

if you divide the y by x, the answer it will give you will be 2/3 or .6

Answer:

hope you like my answer .

Step-by-step explanation:

g(g(x)) mean g of g of x

and same for h

Here is a straightforward recursion you may employ to calculate the value.

It should be noted that the formula $2n-1$ for the $1 times n$ case is incorrect if $n=0$.

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For a standard television of width 15 inches the correct options are

A. h/15=3/4, D) 15/h=4/3 and F) 4/15=3/h​.

Ratio is comparison between two or more quantities in simplest form.

The ratio of screen has a width to height ratio of 4:3.

We know a:b can be written as a/b.

∴ width:height = 4:3 can be written as (width/height) = (4/3).

So, Width = (4/3)height or Height = (3/4)width.

Given the height of a standard television is 15 inches.

So, 15 = (4/3)h or  h/15=3/4 or  15/h=4/3 or 4/15=3/h​.

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Step-by-step explanation:

Plug in 2x-4 in the function g(x)

[tex]g(f(x)) = {(2x - 4)}^{2} + 6 \\ \\ g(f(x)) = (2x - 4)(2x - 4) + 6 \\ = 4 {x}^{2} - 8x - 8x + 16 + 6 \\ g(f(x)) = 4 {x}^{2} - 16x + 22[/tex]

HOPE THIS HELPS

Answer:

t=

1008−13x(131x+414)

​___________________

             5

Step-by-step explanation:

Answer:

1008

Step-by-step explanation:

The equation can be modelled to a real scenario where every purchase can be use to calculate sales tax.

The equation to be modelled is as follows:

y = 1 / 20x

let

x = The total price of purchases

y = The  amount of sales tax

This simply means a person pays 1 / 20 or 5% of every purchase he/she makes.

The total price of the purchase(including tax) is x while the actual amount of tax paid is y.

Let's say you buy a goods worth 400 dollars. Let's calculated the tax as follows:

x = $400

Therefore,

y = 1 / 20 × 400

y = 1 / 20 × 400

y = $20

Hence, the tax for a purchase of 400 dollars is 20 dollars.

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Answer:

He started with 1.25

Step-by-step explanation:

Joe started with 1.25 if he spends 3 quarters of that which is equal to .75 hell have .50 left

1.25-.75=.50