Label each recursive routine as growth or decay (loss) and identify the percent of growth or decay.

a. Start with: 30
Rule: multiply by 1.07
growth by ????? percent


b. Start with: 100
Rule: multiply by 0.86
decay by ???? percent



c. Start with: 75
Rule: multiply by 1.125
growth by ?????? percent

Answers

Answer 1

Answer:

a. Rule: multiply by 1.07

1.07 = 107% = 100% + 7%

Growth by 7%

b. Rule: multiply by 0.86

0.86 = 86% = 100% - 14%

Decay by 14%

c.  Rule: multiply by 1.125

1.125 = 112.5% = 100% + 12.5%

Growth by 12.5%


Related Questions

write a simplified expression for the volume of a cube with side length x+3​

Answers

The equation for a volume of a cube is V=a^3 and since all the sides are the same the equation would be V=(x+3)^3

What is the area of this square?

Answers

Answer:

4x4x4x4=256

Step-by-step explanation:

hope this helps

Answer:

20 = white square in the middle

Step-by-step explanation:

The whole square itself (including the blue parts) is 36 because 6 x 6 = 36

There are two numbers that
multiply to -45 and combine to 12. Find
the two numbers, then the LARGER
number is your answer for this question.

Answers

Answer:

The large number is 15

Step-by-step explanation:

15 * (-3) = -45

15 + (-3) = 12

Simplify the expression.
4X2 + 10x -6 / 2x-1

a. -x+5
b.2(x+3)
c.x+3
d.2x-6

Answers

Answer:

4x2+7x−1

Step-by-step explanation:

Estimate 73% of 120

Thanks if you help!

Answers

Answer:

73/100 (120)

answer:-87.6

Answer:

87.6

Step-by-step explanation:

[tex]\frac{73}{100}[/tex] = [tex]\frac{x}{120}[/tex]

73*120/100= 87.6

which translation is moving left 5 and down 3​

Answers

Answer:

f i think?

Step-by-step explanation:

Triangles please and thanks

Answers

Answer:

60 degrees

Step-by-step explanation:

All sides are equal so it is an equilateral triangle.

Equilateral triangles have 60 degree corners.

60 I answered it and got it right

HELP PLEASE THIS IS HARD-!

Answers

Answer:

12

Step-by-step explanation:

[tex]\frac{2(2)}{2} +2(2)+\frac{2(6)}{2} =2+4+6\\ =12[/tex]

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

PLZZ HALPMMELOL PLZZ it’s due 20 min

Answers

Answer: They ate 5/8 of the salad

Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.

Step-by-step explanation:

they ate 5/8 salad

3/8+ 2/8 = 5/8

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

Factor the expression: 12r-12

Answers

Answer:

12 (r-1)

Step-by-step explanation:

Both terms have 12 as a common factor, so you can factor it out.

Answer  And  explanation :

common factor

12—12

12(r—1)

solution:

12(r—1)

From a group of 280 children, 14 made the swim team. What percent of the children is this?

PLEASE HELP, ILL GIVE BRAINLIEST

Answers

Answer:

5%

Step-by-step explanation:

14/280 is 5%. (Brainliest pls?)

Answer: I think it is 39.2 percent

Step-by-step explanation:

Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis?

Answers

Answer:

They are perpendicular to each other.

Step-by-step explanation:

It is given that there is a rectangle LMNO and this rectangle is reflected over x axis and the create a new rectangle L'M'N'O'.

Now if a straight line segment is drawn joining the point M to the point M', they will form perpendicular to each other. Thus The relationship between the line segment M-M' and the x axis is perpendicularity.

Answer: C they are perpendicular to each other

Step-by-step explanation:

I took the test and got C

What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3

Answers

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

The RADIUS of the barrel is 9.5.

What is the circumference of the barrel?

Answers

Answer:

19

Step-by-step explanation:

D=2r

D = 2(9.5)

   = 19

Cost price = £40
Selling price = £48
Calculate the percentage profit

Answers

There is 20 percent profit

I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!
x/4 < −1.5

Answers

Answer:

x < -6

Step-by-step explanation:

[tex]\frac{x}{4} < -1.5[/tex]

to isolate x, multiply both sides by 4

[tex](4) \frac{x}{4} < -1.5 (4)[/tex]

which gives you:

x < -6

(3x²+4x-1) + (-2x²-3x+2)

Answers

Answer:

(3x²+4x-1) + (-2x²-3x+2)

3x²+4x-1 -2x²-3x+2

3x²-2x²+4x-3x-1+2

x²+x+1

Answer:

x²+x+1

Step-by-step explanation:

BAKE SALE Cassandra and Alberto are selling pies for a fundraiser. Cassandra sold 3 small pies and 14 large pies for a total of $203. Alberto sold 11 small pies and 11 large pies for a total of $220. Determine the cost of each pie.

Answers

Answer:

Large pie = 13

small pie = 7

Step-by-step explanation:

hope this helps!

Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

x: cost of each small piey: cost of each large pie

Cassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203

Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220

So, the system of equations to solve is:

[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable y from the first equation, you obtain:

14y= 203 - 3x

y= (203 - 3x) ÷14

y= 14.5 - [tex]\frac{3}{14}[/tex]x

Replacing this expression in the second equation and solving, you obtain:

11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220

11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220

11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220

11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5

[tex]\frac{121}{14}[/tex]x= 60.5

x= 60.5÷ [tex]\frac{121}{14}[/tex]

x= 7

Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:

y= 14.5 - [tex]\frac{3}{14}[/tex]x

y= 14.5 - [tex]\frac{3}{14}[/tex]×7

y= 14.5 - [tex]\frac{3}{2}[/tex]

y= 13

Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.

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In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon​

Answers

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth

Answers

Answer:

exponential

linear

$1092.73

$1120

account b

account a

Step-by-step explanation:

on the test now.

Which equation best represents the comparison sentence

Answers

Answer:

5

Step-by-step explanation:

Find the product of (x − 3)2.

x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9

Answers

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

50 POINTS HELP PLS ASAP

Answers

Answer:

G

Step-by-step explanation:

Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)

Answers

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

To learn more about the quadratic equation;

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can somebody answer it for me please. simplify and it can only contain positive exponent.

Answers

Answer:

1/2m^12

Step-by-step explanation:

simplify the expression :

m^-6/2m^3 x m^3

1/2m^9 x m^3

solution: 1/2m^12

sorry its really hard to explain the steps but I hope I helped you :)

Answer:

[tex]\frac{1 }{2m} ^x{12}[/tex]

Step-by-step explanation:

just take away the X

Helppppppppppppppppppp I’ll mark you brainlist

Answers

Answer:

1

Step-by-step explanation:

you add +6 everytime you up the number :))

Answer:

The missing value of x in this arithmetic sequence is "1"

Step-by-step explanation:

Since this is an arithmetic sequence that means that when we get from one term to the next one we always add/substract the same number each time.

In our case each time we need to find the next term we just add 6 to the current term. For example, after 13 we have 19 which is essentially 13 + 6.  

From this we know in order to get from x to 7 we added 6, now know this we can make an equation...

x + 6 = 7

And now we just solve it...

x + 6 = 7

x = 7 - 6

x = 1

Priya creates a scatter plot showing the relationship between the number of steps she takes and her heart rate. The correlation coefficient of the line of best fit is 0.88.


1. Are they correlated? Explain your reasoning.

2. Does either of the variables cause the other to change? Explain your reasoning.

Answers

Answer:

Positive correlation exists ;

Number of Steps taken will cause heart rate to increase.

Step-by-step explanation:

Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.

Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.

Correlation between number of steps taken and heart rate.

Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

What is Correlation Coefficient?A correlation coefficient shows how corelated two variables are.Correlation coefficient ranges from -1 to 1.The closer the correlation coefficient is to -1 or 1, the stronger the correlation between two variables.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

Learn more about correlation coefficient on:

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B
27 m
24 m
18 m
List angles largest to smallest

Answers

Answer:27,24,18

Step-by-step explanation:

sorry if it’s wrong but I think so

37 degrees Celsius to Fahrenheit ​

Answers

98.6 degrees fahrenheit

Answer:

98.6 Fahrenheit

Step-by-step explanation:

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