In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem.

Answers

Answer 1

Answer:

P will remain the same

Step-by-step explanation:

Given

[tex]V(t) = P(1 + r)^t[/tex] --- Coin value formula [Missing from the question]

Required

What happens to p when r increases

The coin value function is an exponential function which is of the general  form:

[tex]y = a(1 + b)^x[/tex]

From the given function: [tex]V(t) = P(1 + r)^t[/tex]

P represents the initial value and r represents the rate

The rate of change (r) and the initial value (P) of a function are both independent, and they do not depend on one another for their values.

An increment or decrement in r will not affect the value of P.

Conclusively, when the rate (r) changes, the initial value (P) will remain the same.


Related Questions

3) In Carter's math class, 20\% of students earned an A on a test. If there were 30 student in the class, how many did not get an A.

Answers

Answer:

24 students did NOT get an A

Step-by-step explanation:

30x.20=6

30-6=24

.The measures of the angles of a triangle are in the extended ratio 6: 1: 5. What is the measure of the largest angle?​

Answers

Answer:

90

Step-by-step explanation:

Ratio = 6 : 1 : 5

Angles are 6x ,x , 5x

Sum of all the angles of the triangle = 180

6x +x +5x = 180

         12x = 180

            x = 180/12

x = 15

Largest angle = 6x = 6*15 = 90

Which is and equation of the line with slope 0 and passing through the point at (-2,3)

Answers

Answer: y = 3

Step-by-step explanation:

Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation y = 3 as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph

Expand and simplify (x + 5)(x - 2)

Answers

Answer: *x squred +3x-10*

Step-by-step explanation:

(x+5)(x-2)

x squred-2x+5x-10

x squred +3x-10

The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A = ( x + 5 ) ( x - 2 )

On simplifying the equation , we get

A = x ( x - 2 ) + 5 ( x - 2 )

Expanding the brackets , we get

A = x² - 2x + 5x - 10

On simplifying the equation , we get

A = x² + 3x - 10

Therefore , the value of A is x² + 3x - 10

Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

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I need to show my work ASAP

Answers

Answer:

intergers

square root of 14 = 3.74

integer is 4

nearest tenth is 3.7

square root of 90 =9.49

interger = 9

nearest tenth =9.5

square root of 175 =13.23

interger =13

nearest tenth =13.2

USING THE GRAPH DETERMINE THE COORDINATES OF THE X INTERCEPT OF THE PARABLOA​

Answers

Answer: this parabola has 2 x intercepts witch are -4,0 and -8,0

Step-by-step explanation: an x intercept is when y is 0

can someone answer my question????i need help i’m already failing i’ll give brainlist and points:/

Answers

Y= 2/3x+2
That should help

A group of friends is going on a trip. They must pay a total of $681 to rent a bus for their trip. Along with the bus rental fee, the friends will also need to spend a total of $2,150 on hotels for the week. To pay for the cost of the bus and hotel, the friends held a bake sale and raised $691. They then decided to sell candy for $4 a bag of candy to cover the remaining costs. How many bags of candy must the friends sell?

Answers

Answer:

$535

Step-by-step explanation:  $681 + 2,150 = 2831   $2831- 691 = 2,140  $2,140/4 = 535 which means they need to sell 535 candy more.

Members of a soccer team raised $1719 to go to a tournament. They rented a bus for
$1051.50 and budgeted $44.50 per player for meals. Write and solve an equation
which can be used to determine z, the number of players the team can bring to the
tournament.

Answers

Answer:

44.5x + 1051.5 = 1719

x = 15

Step-by-step explanation:

DeltaMath

The number of players the team can bring to the  tournament is 15.

Given:

The total amount of money raised by the soccer team = $1719

Amount to rent the bus = $1051.50

Amount budgeted for each player's meal = $44.50

To find:

Equation and the number of players the team can bring to the  tournament

Solution:

The number of players the team can bring to the  tournament = z

Amount budgeted for each player's meal = $44.50

Total amount needed for z number of players' meals =  $44.50z

Amount to rent the bus = $1051.50

The total amount of money raised by the soccer team = $1719

The equation for numbers of players will be written as:

[tex]\$44.50z+ \$1051.50= \$1719\\\$44.50z= \$1719- \$1051.50\\\$44.50z=\$667.50\\z=\frac{\$667.50}{\$44.50}=15[/tex]

The number of players the team can bring to the  tournament is 15.

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Order the numbers from least to greatest 3/10, 0.34, 27%, 3/8​

Answers

Answer:

3/10,3/8,27%,0.34

Step-by-step explanation:

Answer:

27%, 3/10, 0.34, 3/8

Step-by-step explanation:

I just made them all decimals (same as percent)

3/10=0.30

3/8= 0.375

hope this helps pls mark brainleist

Please help i will give points and brain
Which figure has no line of symmetry?
A. Figure A
B. Figure B
C. Figure C
D. Figure D

Answers

Answer:

A

Step-by-step explanation:

A cannot be split in half evenly :)

Answer:

a

Step-by-step explanation:

it's always looking and you can make two different shapes

Every week for 40 weeks, Abeke earned $76 selling ice cream and 35$ delivering newspapers. Write a numerical expression to show how much money Abeke earned in 40 weeks.

Answers

Answer: 40 x  (76+35)

Step-by-step explanation:

Given: Every week Abeke earned,

$76 by selling ice cream

$35 by delivering newspapers.

i.e. Total amount earned in 1 week = $ (76+35)

Now Total amount earned in 40 weeks = 40 x  (76+35)

The numerical expression to show how much money( in dollars) Abeke earned in 40 weeks = 40 x  (76+35)

We have to simplify it to get the total money earned in 40 weeks i..e. $4440.

after finding the prime numbers of 13 17 19 identify the median from the options A. 18 B. 17
C. 13
D. 19​

Answers

Answer:

B, 17

Step-by-step explanation:

The 17 is the middle number when ordered from least to greatest. Therefore, it is the median.

Compare: -9 __-1
using <, > =

Answers

Answer:

-9 < -1

Step-by-step explanation:

-9 is a lesser value than -1. On the number line, -9 appears more so to the left than -1.  

6th grade math help!!

Answers

I think the answer might be D. If its greatest to least. I'm pretty sure it is D though. There is no answer for least to greatest in the correct order.

Answer:

B

Step-by-step explanation:

3/5 < 13/20 < 33/50 < 51/75 < 18/25

Please ??????????????​

Answers

Answers:

x = 12angle A = 35angle ABC = 65

============================================================

Explanation:

Let y be the measure of angle ABC.

We can see that y = 4x+17 because the two angles (y and 4x+17) are vertical angles. Vertical angles are always congruent.

-------------

From here, focus entirely on the interior angles of triangle ABC.

Recall that for any triangle, the interior angles always add to 180

A+B+C = 180

(x+23)+(y)+(80) = 180 ..... plug in the given angle measures

(x+23)+(4x+17)+(80) = 180 .... replace y with 4x+17

5x+120 = 180 ..... combine like terms

5x = 180-120 ..... subtract 120 from both sides

5x = 60

x = 60/5 ..... divide both sides by 5

x = 12

Now use that x value to find the following:

angle A = x+23 = 12+23 = 35angle ABC = y = 4x+17 = 4*12+17 = 48+17 = 65

--------------------------

In short we have this summary of values we found:

x = 12angle A = 35angle ABC = 65
X=12
Angle A=35
And angle ABC=65

24 is what percent of 60​

Answers

Answer: 14.4

Step-by-step explanation:

60 * (24/100) = 14.4

The diameter of a circle is 16 centimeters.how would you calculate the area

Answers

Answer:

201.06

Step-by-step explanation:

A=πr2

R= 16/2= 4cm

A= 22/7 x 4 x 4

A= 201.06

I need help ASAP PLEASEEEEEEEE

Answers

Answer:

g has an average rate of change of zero at the intervals [-5,4] and [-2,2]

Step-by-step explanation:

When we talk of the average rate of change, we mean the change in y values divided by the change in x values

Once the change in y-values is zero, then over that interval, the average rate of change is zero

at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6

As we can see here, within the interval [-5,4]; the average rate of change is 0

This same pattern is repetitive at points or ranges where we have same values for g(t)

such as;

[-2,2]

what 50 precent of 7

Answers

Answer:

3.5

7 divided by 50=3.5

3.5x2=7

Step-by-step explanation:

$73 is what percent of $125

Answers

Answer: The question $73 out of 125 is 58.40%

Step-by-step explanation:

$73 out of 125 is what percent Answer: The question $73 out of 125 is 58.40%, which is the same as 73/125 as a percent. This can be solved using this calculator above

The $73 is approximately 58.4% of $125.

To find what percent $73 is of $125, we can use the following formula:

Percent = (Part / Whole) * 100

In this case, $73 is the part and $125 is the whole.

Substituting these values into the formula:

Percent = (73 / 125) * 100

Dividing 73 by 125:

Percent = 0.584 * 100

Multiplying 0.584 by 100:

Percent = 58.4

Therefore, $73 is approximately 58.4% of $125.

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1.) What is the equation given a slope of ½ and a y-intercept of 4?

2.) What is the slope of an equation y=2x-5

3.) What is the y-intercept of an equation y=7x+8?​

Answers

1) y=1/2x+4
2) slope is 2
3) 8

PLEASE HELP I'LL GIVE THE BRAINLEST
Select the correct answer. Which line is the line of best fit for this scatter plot?​

Answers

Answer:

D

Step-by-step explanation:

A or D

Hope it helps but I’m guessing

list the factors of 5i^2+12i−32 i need help fast

Answers

Answer:

Step-by-step explanation:

5i² + 12i - 32i  = 5i² - 20i

                      = 5i² - (5*4*i)

                      = 5i(i - 4)

Label ABC with the following information.
BC = 38
AC = 50
Find m/C.

Answers

add 38+50 then subtract by 180 = 92

Please help me solve this

Answers

Answer:

1st pic:

x = 60

y = 50

2nd pic:

y = 8

∠W = 28

∠Y = 128 degrees

∠X = 24

Step-by-step explanation:

first pic:

to find x, subtract 120 from 180 ⇒ 180 - 120 = 60

to find y, add 60 & 70 & subtract the sum from 180 ⇒ 180 - (60 + 70) = 50

2nd pic:

to find ∠Y, subtract 52 from 180:

180 - 52 = 128

to find y, use the following equation:

3y + 4y - 4 + 128 = 180

combine like terms:

7y + 124 = 180

subtract 124 from each side:

7y + 124 - 124 = 180 - 124

7y = 56

divide 7 on both sides:

[tex]\frac{7y}{7} = \frac{56}{7}[/tex]

y = 8

now we can find angles W and X

∠W = 4y - 4

we know that y = 8 so just substitute 8 for y

∠W = 4 x 8 - 4

∠W = 28

∠X = 3y

likewise, subtitute 8 for y

∠X = 3 x 8

∠W = 24

to check, add all angles and if they add up to 180, then its right:

24 + 28 + 128 = 180

180 = 180

Step-by-step explanation:

here's your solution

=> for first figure , (x + 120° ) = 180° [ linear pair]

=> x = 180° - 120°

=> x = 60°

=> now , we know sum of all angles of traingle = 180°

= >so, 60° + 70° + y = 180°

=> y= 180° - 130°

=> y = 50

now in figure second

=> 4y - 4 + 3y = 52° [ exterior angle equal to sum of two opposite interior

=> 7y - 4 = 52°

=> 7y = 52° + 4°

=> 7y = 56°

=> y = 56°/7

=> 8°

hope it helps

Evaluate the following expression. What is the answer?
-8 x (-10) - 7 x 1/-1

Answers

Answer:

log (8)

log 13 (28)

log (1/2)

Step-by-step explanation:

for brainliest. PLEASE HELP!!

Answers

Answer:

a

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Good luck! Please consider awarding Brainliest! ^<^

Find the slope of the line that passes through each of the following pairs of points:
(-1,4) and (3,-8)

Answers

Answer:

-12/4

Step-by-step explanation:

Use the slope formula

y2-y1. -8-4

---------- ______ = -12/4

x2-x1. 3-(-1)

A car travles at a speed of 44mph for 15 minutes. Calculate how far it travles.

Answers

Answer:

11 miles

Step-by-step explanation:

Answer:

11 m

Step-by-step explanation:

Speed = 44 mph

Time = 15 minutes = 15/60 = 1/4 hour

Distance = Speed * time

              = 44 * [tex]\frac{1}{4}[/tex]

             = 11 m

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