Mathematics College

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=3100(0.365)^x

Growth

% increase

Answers

Answer 1

Answer:

Decrease of 63.5%.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]y = y(0)(1+r)^{x}[/tex]

In which y(0) is the initial value and r is the rate of change, as a decimal. If r is positive, it is a increase. If it is negative, it is a decrease.

In this question:

We have that:

[tex]y = 3100(0.365)^x[/tex]

[tex]1 - r = 0.365[/tex]

[tex]r = 0.365 - 1 = -0.635[/tex]

So a decrease of 63.5%.

Answer 2

Answer:

63.5

Step-by-step explanation:

Related Questions

How would you factor this 2x^3 + x^2 + 5x + 6. The factored form should not have any radicals or imaginary numbers.

Answers

Answer:

(x+1)(2x2−x+6)

Step-by-step explanation:

Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.
2x - 4 = 2(x - 2)

Answers

Answer:

Infinitely many solution

Step-by-step explanation:

Simplify

2x - 4 = 2x - 4

Lets see:

if we put 1:

2 - 4 = 2 - 4

-2 = -2

Now lets try another number : 2

4 - 4 = 4 - 4

0 = 0

So we can say that there is more than one solution

this cancels out single solution and no solution

There are infinitely many solutions to the given algebraic expression 2x - 4 = 2(x - 2).

The algebraic expression is an expression that is composed of variables and their arithmetic operations.

From the given parameters

2x - 4 = 2(x - 2)

Open brackets

2x - 4 = 2x - 4

Since we are having the same algebraic expression on both sides;

Then, we won't be able to get exactly one solution but an infinite number of solutions.

This is because any number that is being substituted for the value of x will always give a different solution.

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Answers

Answer:

it is d because they dont have enuff info :)

solve the quadratic equation 2x^2-5x+1=x+4

Answers

Answer:

Step-by-step explanation:

Combine like terms in 2x^2-5x+1=x+4: 2x^2 -6x - 3 = 0

The coefficients of this quadratic are {2, -6, -3}. Apply the quadratic formula. Start by finding the discriminant, b^2 - 4ac:

b^2 - 4ac = (-6)^2 - 4(2)(-3) = 36 + 24 = 60

Because the discriminant (60) is positive, we know that this quadratic has two real, unequal roots:

-(-6) ± √60 6 ± (√4)(√15)

x = -------------------- = ----------------------

2(2) 4

or:

6 ± 2√15 3 ± √15

x = ----------------- = ----------------

4 2

Molly scored a total of 24 points in the basketball
game, and she scored x points in the second half of
the game. Write an expression to determine the
number of points she scored in the first half of the
game Then, find the number of points she scored in
the first half of the game if she scored 20 points in
the second half of the game.

Answers

Answer:

24-x=y (number of points scored in the first half)

if x equals 20, then we can rewrite the equation to

24-20=y

4=y

The height of triangle is 8 inches less than
its base. The area of the triangle is 192 square inches.
Find the dimensions of the triangle

Answers

Answer:

The base = 24 in

The height = 16 in

Steps:

x(x-8)/2 = 192

(x²-8x)/2 = 192

x²-8x = 192 × 2

x²-8x = 384

x²-8x-384 = 0

by using the quadratic formula, the roots are: (24, -16)

hence

x = 24

The base = 24 in

The height = 16 in

can someone help pls

Answers

Answer:

A. parallelogram

Step-by-step explanation:

4, 2, 4, 1, 8, 9, 7, 5, 2, 8
By how much would the range decrease if the number 7 replaced the number 9 in the set?

Answers

Answer:

Step-by-step explanation:

The range is the difference between the lowest and highest values. Since 9 is still the highest value, the range would not change by any amount by replacing 7 with 9.

Please help me, It's a super simple math question. <3 YOU WILL GET 25 POINTS

Answers

Answer:

You should do Subtraction first Please Give me brainliest

Step-by-step explanation:

Answer:

Subtraction

Step-by-step explanation:

bc to solve the equation we would to subtraction last but if we reverse it the we need to undo the subtraction first

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Answers

The answer is 60 if it is rounded to the nearest tenth. And 58 if is not rounded to the nearest tenth. I got 58 first becoz I subtracted 32 from the 90 degrees and I rounded it to the nearest tenth to get 60 degrees.

Helpppppp plssssssss

Answers

Area of rectangle: 5 * 6 = 30 in.
Area of circle: 5/2 = radius
Pi * (5/2)^2 = 19.63495
Area of rectangle - area of circle
30 - 19.63495 = 10.3650
Round to nearest tenth
Solution: 10.4

The perimeter of a rhombus with one side equal to 7mm

Answers

Answer:

28 mm

Step-by-step explanation:

All sides of a rhombus are equal in length and there are 4 sides so do 7 * 4 = 28mm.

Answer:

Perimeter of Rhombus: 28mm

Step-by-step explanation:

If one side of a Rhombus is 7mm, then its perimeter is 28 because all sides of a Rhombus is equal.

=> Perimeter of Rhombus: 7 x 4=> Perimeter of Rhombus: 28mm

factor expression

9w+72 divide both side by 9

9/9w+72/9

w+8

Answer:

9 (w + 8)

I'm sorry I can't explain it but here's the answer

b.
3n+l -3n+2
Simplify:
3n+3 + 3n+4

Answers

Answer:

Simplified: 6n+7

Explanation:

Combine like terms

(3n+3n)=6n

(3+4)=7

In ARST, the measure of T=90°, the measure of R=9°, and RS = 46 feet. Find the
length of ST to the nearest tenth of a foot.

Answers

Answer:

x = 7.2

Step-by-step explanation:

Hey There!

We can find the length of x by using law of sines

law of sines states that a side length divided by sin ( its opposite angle) is equal to another side length divided by sin (its opposite angles) so we setup an equation

[tex]\frac{46}{sin90} =\frac{x}{sin9}[/tex]

now we can solve for x

step 1 multiply each side by sin 9

now we have

[tex]x=\frac{46sin9}{sin90}\\x=7.195985392[/tex]

So x = 7.195985392

it says to round to the nearest tenth of a foot so x = 7.2

Answer:

7.2

Step-by-step explanation:

deltamath

Plzz help i dont know how to do this

Answers

the answer is X = less than but equal to 3

Find the 20th term of the sequence.

1600, 1200, 900, ...

Answers

First approach :

The above series can be seen as

1600 , (1600–400) 1200, (1200–300) 900 .

So we see that the values are getting decreased by 400,300 respectively.

Hence the next term in the sequence will be 900–200 = 700.

Other approach could be :

A geometric progression with ratio as 3/4.

1600*(3/4) = 1200

1200*(3/4) = 900

900*(3/4) = 675

Taking the above two approaches in mind,the two possible answers could be 700 or 675

Um- here ya go

The 20th term of the sequence.

1600, 1200, 900, ..., is 6.76.

What is a geometric sequence?

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

Given:

A geometric sequence,

1600, 1200, 900, ...

To find the common ratio:

take the ratio of successive terms

r = The value of the second term / the value of the first term

r = 1200/1600 = 0.75.

The explicit formula of a geometric sequence is,

aₙ=a₁(r)ⁿ⁻¹

aₙ= 1600(0.75)ⁿ⁻¹

a₂₀ = 1600(0.75)¹⁹

a₂₀ = 6.76

Therefore, the 20th term is 6.76.

To learn more about the geometric sequence;

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An art shop has 80 large boxes of markers and 34 small boxes of markers in stock. Each large box contains 48 markers and each small box contains 20 markers.

Which equation could be used to find n, the total number of markers in stock?

80 + 48 × 34 + 20 = n

80 + 48 + 34 + 20 = n

80×48−34×20=n

80 × 48 + 34 × 20= n

Answers

Answer: n= 80 ×48+ 34×20

Step-by-step explanation:

Given: Number of large boxes = 80

Number of small boxes = 34

Number of markers in each large box = 48

Number of markers in each small box = 20

Total markers = (Number of large boxes)x (Number of markers in each large box) + (Number of small boxes) x (Number of markers in each small box)

Total number of markers = n (given)

Then, n= 80 ×48+ 34×20

Therefore, the equation could be used to find n, the total number of markers in stock: n= 80 ×48+ 34×20

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Answer:

80 × 48 + 34 × 20= n

Step-by-step explanation:

80 times 48 accounts for all of the markers in the large boxes and 34 times 20 accounts for all the markers in the small boxes, add them up and you have the total number of markers.

Help please will mark brainliest

Answers

Answer:

There is a graph to help you!

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Answers

Answer:

I wont give you the answers, but i will show you how

Step-by-step explanation:

add all the numbers together and then when you want to find a probability make them fractions

for example:

P(blue eyes): 12/80

then simplify the fractions

Is this the right answer?

Answers

Answer:

Yes

Step-by-step explanation:

Perimeter is 1:a

Area is 1:a^2

If this helps you, please mark brainliest

Which of the following expressions is equal to - 4x2 - 36?
A. (-4x +91)(x - 41)
B. (-4x -127)(x+31)
C. (-4x + 127)(x+31)
D. (-4x-91)(x - 41)

Answers

Answer: (-4x+12i)(x+3i)

Step-by-step explanation:

the Expressions equal to - 4x² - 36 is (-4x+12i) (x+3i).

what is expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

Given, an expression - 4x² - 36.

Let's factorize the given expression using the simplification method

=> - 4x² - 36

=> -4x² - 12ix + 12ix -36

=> -4x(x + 3i) +12i (x +3i)

=> (-4x+12i) (x+3i)

Therefore, the equation for the given expression is (-4x+12i) (x+3i).

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Given f(x) = 9x + 54, find x when f(x) = 18.

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

[tex]18 = 9x + 54 \\ 18 - 54 = 9x \\ - 36 = 9x \\ \frac{ - 36}{9} = x \\ - 4 = x[/tex]

If Fran were to paint her living room alone, it would take 5 hours. Her sister Wanda could do the job in 8 Hours. How many hours would it take them working together. Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer:

around 3 hours, if i understand the question correctly.

Step-by-step explanation:

8 minus 5 is 3 :P

Alex buys 2 1/2 pounds of grapes. He buys 1 1/4 times as many pounds of apples as grapes. How many pounds of apples does Alex buy?

Answers

Answer:

3 1/8

Step-by-step explanation:

2 1/2 = 5/2

1 1/4 = 5/4

(5/2)(5/4) = 25/8 = 3 1/8

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=3100(0.365)^x Growth % increase

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=3100(0.365)^x

Growth

% increase