Samra's guardians invested money for her into a 529 College Savings Plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x) = 500(1.03)x. What is the meaning of the y-intercept in the context of the problem?
A. The percent rate of change is 500%.
B. The initial value of the investment is $500.
C. The principal amount put into the savings plan is $1.03.
D. The average rate of change that is occurring is 1.03.

the function is (5)(-10)

The 3 tv stations will announce the news again after 12 hours at 7 in the evening which is calculated by taking the LCM of the 3 intervals.

LCM or lowest common multiple of 2 or more numbers is defined as the minimum number which is lowest multiple of of the 2 or more numbers which is equal.

In mathematics and number theory. Since the result of dividing an integer by zero is not defined this definition only applies if both x and y are not equal to zero.  However, given that 0 is the only common multiple of x and 0, some authors define LCM(x,0) as 0 for all x.

The intervals in which channels announce the news are 2 hours, 3 hours and 4 hours.

So we have to find the LCM of the numbers.

LCM(2,3,4)=12 as 12 is the smallest integer which is divided by all the other 3 numbers.

So the news channels will announce the news after 12 hours.

Since they announced at 7 in the morning so they would all announce the news again at 7 in the evening.

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The probability of the spinner's point landing on green is 22.23%.

A pie is a kind of chart that displays data in the form of a circular graph.

We understand that the total value of the pie is always 100%. It is also understood that a circle does have a circumference of 360°. As an outcome, the total of all data points equals 360°. There appear to be mainly two pie chart formulas based on these:

When a circle is completely rotated, it forms a 360-degree angle in the center.

At the center of the circle, a complete rotation yields 360 degrees.

The total percentage of all colors is 100%.

Divide a value of green by 3.6 since 360 degrees / 100% = 3.6.

The total percentage of green displayed by the spinner's pointer is 80%.

P (probability of the cursor landing on green) = 80/3.6

Probability P (cursor landing on green) = 22.222... = 22.23 (approx.)

As a result, the probability which the pointer will land on the green is 22.23%.

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The fraction ( 8/10 ) when converted into a decimal number is equal to 0.8.

The decimal number system is frequently used to express both integer and non-integer quantities. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system.

The number of shots fired by Marlin should be expressed as a decimal number.

We know that,

Marlin made 8 shots out of 10 shots which is in fraction, it is 8/10.

However, since we are dividing by 10, we shall shift the decimal point of 0.8 to the left (the zero is not really important as it only represents a place value )

Or,

( 8 /10) = ( 4 / 5 ) = 0.8

Therefore, the fraction of the shots Marlin made is 0.8.

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After solving the equation or inequality, x is equal to 2/3, -20/3 for the equation |3 x+9|=11

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

⇒ |3 x+9| = 11

For positive case                              

⇒  (3 x+9) = 11

⇒ 3x = 11 - 9

⇒ 3x = 2

⇒ x = 2/3

For negative case

⇒  -(3 x+9) = 11

⇒ -3x -9 = 11

⇒ -3x = 20

⇒ x = -20/3

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The annual percentage rate on a loan with a stated rate of 2.75 percent per quarter is 11%.

It was given that the annual percentage rate on a loan with a stated rate of 2.75 percent per quarter.

It should be noted that quarter means that the value was divided by 4.

Therefore, the annual percentage will be:

= 2.75 × 4

= 11%.

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Answer:

The other number is (-18/7)

Step-by-step explanation:

Let the other rational number be 'x'.

  [tex]\sf x * \dfrac{7}{9}= \dfrac{-14}{7}[/tex]

       [tex]\sf x = \dfrac{-14}{7} \div \dfrac{7}{9}[/tex]

Now, use KCF method.

       [tex]\sf x = \dfrac{-14}{7}*\dfrac{9}{7}\\\\x = -2* \dfrac{9}{7}\\\\x = \dfrac{-18}{7}[/tex]

Answer:

-18/7

Step-by-step explanation:

let the unknown no be y

7/9×y= -14/7

7y/9= -14/7

cross multiply

-14×9=7y×7

divide both sides by 7

-2×9=7y

-18=7y

divide both sides by the coefficient of y which is 7

y= -18/7

hope this helps

please give brainliest

Answer:

Step-by-step explanation:

The y -intercept Is: b=9 or (0,9)

The diameter of circle is 10.0 feet.

We are given the area of circle. The formula of area with respect to diameter is as follows -

Area = 1/4πd², where d represents diameter of circle.

Taking the value of π as 3.14.

Rewriting the equation according to diameter -

d² = (area×4)÷π

Now, keep the values in formula to find the diameter of circle.

d² = (79×4)÷3.14

Performing multiplication on the Right hand side of the equation

d² = 316÷3.14

Performing division on the Right hand side of the equation

d² = 100.6

d = √100.6

Taking square root on the Right hand side of the equation

d = 10.03 feet

Rounding to nearest tenth -

d = 10.0 feet

Hence, the diameter of circle is 10.0 feet.

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Answer: D. 3

Step-by-step explanation:

Let's make a proportion:

72  residents  - 12 floors

18  residents  -  х floors

Hence,

[tex]\displaystyle\\x=\frac{18*12}{72} \\\\x=\frac{18*4*3}{18*4} \\\\x=3\ floors[/tex]

The Simplification of 2x +26

simplify:

4(× + 5) - 2(x - 3)

4x + 20 - 2x +6

2x +26

Making something simpler is making it less intricate or crowded. When you describe a complex mathematical idea to a youngster in words they can easily comprehend, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.

Making something simpler refers to making it simpler to accomplish or comprehend. Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers.

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The statement "The arithmetic mean of two numbers is the positive square root of the product of the numbers." is False.

And the true sentence is "The geometric mean of two numbers is the positive square root of the product of the numbers."

Arithmetic Mean:

The arithmetic mean, is also called the average or average value, is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

Given,

Here they given the sentence, "The arithmetic mean of two numbers is the positive square root of the product of the numbers.".

We need to find this one is true or not and we also need to replace the underlined word or phrase to make a true sentence.

Based on the definition of arithmetic mean, the given statement is false.

And the correct sentence is

"The geometric mean of two numbers is the positive square root of the product of the numbers.".

Because geometric mean is average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.

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Answer:

75 min or 1 hour 15 min

Step-by-step explanation:

20 is 50% of 40 so add 50% of 50 min to the total. Half of 50 is 25 so you add 25 min

Answer:

if bill takes

40 customers =50 minutes

20 customers= 50÷2 =25 minutes

so 50 minutes + 25 minutes= 75 minutes in total.

On simplifying, x(x2 + 7x + 1) is the final expression.

The provided simplification expression can be solved, per the question, by moving the variable terms to one side and the normal terms to the other.

As a result, the phrase may be expressed more succinctly as:

(3x^3+4x^2) - (2x^3 + 3x^2 -x)

x^3 + 7x^2 + x

x(x^2 +7x + 1)

Consequently, x(x2 + 7x + 1) is the right solution via simplification.

A technique to make the phrase less complex is simplification. And the variables' calculations became simple. Problems with simplification can be resolved by using mathematical characteristics.

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June is 9 / 8 times as old as Tomasso in the question.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Ferrera is 3/4 as old as June, and Tomasso is 1. 1/2 times as old as Ferrera.

The number of the times will be calculated as below:-

F = ( 3 /  4) J

T = 1 ( 1 / 2 ) F

T = ( 3 / 2 )F

Put the value of F in the second equation.

T = ( 3 /  2) ( 3 / 4 )J

T = ( 9 / 8)J

Therefore, June is 9 / 8 times as old as Tomasso in the question.

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The amount paid for 0.4 pounds of much after deducting $0.50 coupon is $1.58. option B

Cost of mulch : pounds of mulch

5.20 : 1 = x : 0.4

5.20/1 = x/0.4

5.20 × 0.4 = 1 × x

2.08 = x

Cost of 0.4 pounds of mulch = x = $2.08

Amount paid for 0.4 pounds of much after deducting $0.50 coupon

= $2.08 - $0.50

= $1.58

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Answer:

b) $1.58

Step-by-step explanation:

Now we have to,

→ find the amount the customer must pay.

One pound of mulch costs,

→ $5.20

Then 0.4 pounds of mulch costs,

→ $5.20 × 0.4

→ 5.20 × 0.4

→ $2.08

Total cost after reducing $0.50,

→ 2.08 - 0.50

→ $1.58

Hence, customer must pay $1.58.

The algebraic expression models the total number of points that a basketball team scores in a game is 2x+3y+z and If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws then the total points scored by the team is 42 points

Given,

The team can score by making = 2 point ,3 point and one point free throw

Then,

Consider the number of 2 points = x

The number of 3 points =y

The number of one point free throw = z

Then then algebraic expression for the total number of points that a basket ball team scores in a game = 2x+3y+z

Then,

Number of 2 points =10

Number of 3 points = 5

Number of free throws = 7

Substitute the values in the equation
The total points scored by basketball = 2×10+3×5+7

=20+15+7

=42 points

Hence, the algebraic expression models the total number of points that a basketball team scores in a game is 2x+3y+z  and If a team makes 10 two-point shots, 5 three-point shots, and 7 free throws then the total points scored by the team is 42 points

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Answer:

ADGJL

Step-by-step explanation:

[tex]\displaystyle\\Answer:\ p=-\frac{1}{q}[/tex]

Step-by-step explanation:

A perfect square has equal sides

Hence, px²+2x-q has equal roots (D(discriminant)=0)

[tex]\displaystyle\\D=2^4-4*p*(-q)\\D=2*2+4pq\\D=4+4pq\\D=0\\\Rightarrow\ 0=4+4pq\\Divide\ both\ parts\ of\ the \ equation\ by\ 4:\\0=1+pq\\0-1=1+pq-1\\-1=pq\\Divide\ both\ parts\ of\ the \ equation\ by\ q(q\neq 0):\\-\frac{1}{q}=p\\ Thus,\\p=-\frac{1}{q}[/tex]

Answer:

The answer is 113.3

Step-by-step explanation:

We get this because he formula for the volume of a sphere is V = 4/3 πr³. 

The radius is 7.

7^3 = 243

243*4  = 972.

So, the asnwer is 972 ft^3

Answer:I used PEMDAS I Got D.26

Step-by-step explanation:

The evaluation of the given functions are as follows;

1. f(x) = 3 - x

g(x) = -2•x

Therefore;

g(fx) = -2 × f(x)

Which gives;

-2 × (3 - x) = -6 + 2•x = 2•x - 6

g(fx) = 2•x - 6

B. 2•x - 6

2. f(x) = 3 - x

g(x) = -2•x

f(g(x)) = 3 - (-2•x) = 3 + 2•x

f(g(x)) = 3 + 2•x

f(g(2)) = 3 + 2×2 = 7

The correct option is therefore;

C. 7

3. f(x) = 3 - x

g(x) = -2•x

Therefore;

g(fx) = 2•x - 6

g(f-1) = 2×(-1) - 6 = -8

C. -8

4. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²

F(G(x)) = 2•(3•x + 2) - 1 = 6•x + 3

F(G(x)) - F(x) = 6•x + 3 - (2•x - 1) = 4•x + 4

A. 4•x + 4

5. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²

G(H(x)) = 3•x² + 2

G(H(1)) = 3×1² + 2 = 5

A. 5

6. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²

F(G(H(x))) = 2•(3•x² + 2) - 1 = 6•x² + 3

F(G(H(2))) = 6×2² + 3 = 27

B. 27

7. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²

H(x + a) - H(x) = (x + a)² - x² = 2•a•x + a²

B. a² + 2•a•x

8. (H(x + a) - H(x))/a = (a² + 2•a•x)/a

(a² + 2•a•x)/a = a + 2•x = 2•x + a

A. 2•x + a

9. F(x) = 2•x - 1, G(x) = 3•x + 2, H(x) = x²

F(x) + G(x) + H(x) = 2•x - 1 + 3•x + 2 + x² = x² + 5•x + 1

C. x² + 5•x + 1

10. f(x) = 2•x² - 3•x + 1

f(3) - f(2) = 2×3² - 3×3 + 1 - (2×2² - 3×2 + 1) = 7

B. 7

11. G(x) = 5•x - 2

G^(-1)(x) = (G(x) + 2)/5

Which gives;

G^(-1)(x) = (x + 2)/5

A. (x + 2)/5

12. f(x) = 2/(x - 6)

The inverse is therefore;

(2/f(x)) + 6

The inverse of f(x) is therefore;

(2/x) + 6

13. g(x) = (5•x - 5)/4

(4•g(x) + 5)/5 = (4/5)•g(x) + 1

The inverse of g(x) is therefore;

(4/5)•x + 1 = f(x)

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Answer:

can you post the pic? or else nobody can help lol

Step-by-step explanation:

The expression that is equivalent to 4 ^ 3 would be an expression that equals 4 ^ 3

4 ^ 3 = 4 x 4 x 4 = 16 x 4 = 64

Answer:

4^3 =

4 x 4 x 4 x4 = 64

For the given coordinates (-4,-3) and (7,1) , the slope of line is 4/11.

Determine the coordinates of two locations along the line that you choose.

Find the difference between these two locations' y-coordinates (rise). Find the difference between these two locations' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Given, the points are -

(-4,-3) and (7,1)

The formula to calculate slope is -

m = y2 - y1 / x2 - x1

Putting the value in the formula,

m = 1 +3 / 7 + 4

m = 4 / 11

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Addie's income by running a sandwich delivery service is given by the function y = 12x + 5, which has a domain and range of [0 , +∞) and [5 , +∞), respectively.

In mathematics, a function is the representation of the relationship of a set of input(X) and its corresponding output(Y). The set of x is called the domain while the set of the corresponding y is the range.

If Addie runs a sandwich delivery service. her income can be measured using the function

y = 12x + 5

where x = number of sandwiches she delivers

y = income

The domain of a function is the set of values that we are allowed to plug into our function. The domain of any function of x is always the set of all real numbers but, reasonably speaking, we must consider the situation given. The number of sandwiches she delivers can only range from 0 to positive infinity, not negative.

domain : {x | x ≥ 0} or [0 , +∞)

On the other hand, the range of a function is the set of values of the function after plugging in the value of x.

Substituting our domain [0 , +∞) in the function.

y = 12x + 5

y = 12(0) + 5

y = 5

y = 12(+∞) + 5

y = +∞

range : {y | y ≥ 5} or [5 , +∞)

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Answer:

[tex]\frac{w}{2}[/tex] + 9 = 7

Step-by-step explanation:

Answer:

[tex] \frac{w}{7 } + 9 = 7[/tex]

Answer:

the answer would be 12 units.

Step-by-step explanation:

now you may count the number line and find that you find 6 units, BUT you need to check the values. You can simply do an equation 4 - - 8 = 12 or you can do 6 *2 which is 12.