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

Help please I'll mark brainliest if I can​

Answers

Answer: A

Step-by-step explanation:

Answer:

A!! Have a great day

Step-by-step explanation:

See image for details on question

Answers

Answer:

x +3

Step-by-step explanation:

You can solve this by factoring.

The numbers have to add to 10 and multiply to 21.

The first numbers that should come to mind are 7 and 3

(x+3)(x+7)

x+3 is the shorter side and there you go :)

how do i convert 8/10 to a percentage?
(if yall can get the answer ill give brainlieast)

Answers

Answer:

80%

Step-by-step explanation:

Divide 8 by 10, and multiply your answer by 100

Answer:

80%

Step-by-step explanation:

Multiply by 100

8/10 = 0.8

0.8  x 100= 80

HELP ASAP!! Question in pic!! Will give brainliest!!!!!

Answers

Answer:

y= -1/4x - 6

Step-by-step explanation:

So the point slop form is y = mx + b, where m is the slope : -1/4, and b is the y-intercept (which we don't know yet).

To find b, all you need to do is plug in -1/4 for m and the point (4, -7) for x and y respectively, giving you:

-7 = (-1/4)(4) + b

Then do some algebra shenanigans: multiply -1/4 by 4 to get -1

-7 = -1 + b

then add the 1 to both sides.

b = -6

Then, you can plug the b and the m back into the problem to give you:

y = -1/4x - 6

Answer:

C

Step-by-step explanation:

Point slope form looks like this: [tex]y-y_1=m(x-x_1)[/tex]

We already have our slope (-1/4)

Our [tex]y_1[/tex] is -7 and our [tex]x_1[/tex] is 4

In this case, our equation would be [tex]y-(-7)=-1/4(x-4)[/tex] and the -(-7) would turn into +7

Therefore, the answer is C

Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the measure of the two angles.

Answers

Answer:

c=36 degrees

d=54 degrees

Can I get help with this, please

Answers

Answer:

For F(x)=10x the chart should go,

(-2, 1/100)

(-1, 1/10)

(0, 1)

(1, 10)

(2, 100)

For F(x)=6x the chart should go,

(-2, 1/36)

(-1, 1/6)

(0, 1)

(1, 6)

(2, 36)

If this helped please give brainliest :)

A store manager earns
$
24.00
per hour. If the manager works
8
hours one day and donates
1
10
of the day’s earnings to charity, how much of the earnings are left?


Answers

Answer:

165.6=x

Step-by-step explanation:

(24.00*8)0.90=x

184.00*0.90=x

165.6=x

2.7. 8=24.

24/8= 3

3/10= 0.3

3 -0.3 =$2.7

What is the Mean Absolute Deviation of the data set below? 12, 1, 6, 10, 1, 2, 3, 10, 3, 8, 3, 9, 8, 6, 8

Answers

Answer:

Mean Absolute Deviation (MAD): 3.0666666666667

Step-by-step explanation:

x/3=3 use the division property of equality​, please explain

Answers

[tex] \frac{x}{3} = 3 \\ \\ x = 3 \times 3 \\ \\ x = 9[/tex]

What percent of the symbols are $?
$ *
* $ $
*
*
* *
*
$ $ $ $




Plzzzzz help




Answers

It’s moneyyyyyyyyyyy

If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal, what can we do?

a. Conclude that the units cannot be converted to one another.
b. Assume the conversion factor is 1.
c. Attempt to use a conversion factor for different units of measurement.
d. Leave the conversion factor in fraction form.

Answers

Answer:

D) Leave the conversion factor in fraction form

Step-by-step explanation:

Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal. The correct option is option D.

What is conversion Factor?

A conversion factor is a ratio expressed as a fraction that equals 1. When we use conversion factors to convert units, we multiply our original measurement by the conversion factor to get the same measurements expressed in new units.

If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal. Leave the conversion factor in fraction form.

Because there are two type of decimals:

Terminating decimal expansion means the decimal expansion of a number which stops after a certain number of decimal places. For example, if we divide 100 by 16, the answer comes out as 6.25.Since the number of decimal place in 6.25 is 2,i.e., it stops after a certain number of decimal places, it is called a terminating decimal expansion.

On the other hand, if the decimal expansion of a number does not stop at all, then it is called a non-terminating decimal expansion. For example, if we divide 100 by 7, then the answer comes out to be 14.28571428571…….. . The decimal expansion does not stop. This is known as a non-terminating decimal expansion.

In general, if a fraction has a denominator of the form 2^n*5^m, where m and n are non-negative integers, then it will have a terminating decimal expansion. For example, 100/16 has denominator 16 which is of the form 2^4*5^0, so it has a terminating decimal expansion.

If a fraction has a denominator which is not of the form 2^n*5^m, where m and n are non-negative integers, then it will have a non-terminating decimal expansion. For example, 100/7 has a denominator 7 which is not of the form 2^n*5^m so it has a non-terminating decimal expansion.

Hence, Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal.

Learn more about Fractions:

https://brainly.com/question/10354322

#SPJ2

At Silver Gym, membership is $45 per month, and personal training sessions are $35 each.
At Fit Factor, membership is $85 per month, and personal training sessions are $25 each. In
one month, how many personal training sessions would Sarah have to buy to make the total
cost at the two gyms equal?
Sarah would have to buy
personal training sessions to make the total cost at the
two gyms equal.

Answers

4 personal training sessions.
45 + 35n = 185
85 + 25n = 185
N=4

What is given to be congruent in this picture? **May be multiple answers!!***
A
х
А
с
A ABC 2A XYZ
BC=YZ

Answers

Answer:

ΔCBA ≅ ΔZYX

ΔBCA ≅ ΔYZX

BA ≅ YX

AC ≅ XZ

Step-by-step explanation:

A rectangle is 10 feet longer than it is wide. The area is 39 square feet. Find the dimensions of the rectangle​

Answers

Answer:

length = 13 ft

Width = 3 ft

Step-by-step explanation:

Width = w ft

Length = ( w +10 ) ft

Area = 39 square ft

length * width = 39

(w +10)* w = 39

w *w + 10*w = 39

w² + 10w - 39 = 0

w² + 13w - 3w - 3*13 = 0

w(w + 13) - 3(w + 13) = 0

(w + 13) (w - 3) = 0    {Ignore w + 13 , as measurement cannot be in negative}

w - 3 = 0

      w = 3

length = 3 +10 = 13 ft

can somebody help me pleaseeee !

Answers

Answer:

First and Third one

Step-by-step explanation:

First one: No Solution

Second one: x= All real numbers

Third one: No Solution

Fourth one: All real numbers

15 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

The first answer is correct because the angle it gives you in the 3rd picture at the bottom left is congruent with X,  therefore makeing the X 100.

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

i'd say it's "a" cause if I solve it for Zero I get x= 3, - 4 so x must bi bigger or equal 3

Deborah bought a computer for 25% off the list price.
Deborah bought a computer for 25% off the list price.

Answers

Answer:

how much was the computer or smth i need more information

Step-by-step explanation:

The present age of the father and his son is 32 years and 7 years respectively.
7
Find how many years ago the product of their age was 116.
product of the present age of their ​

Answers

Answer:

ok so im so confused but like you know i tried and i got this:

X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.

(32 - x)(7 - x) = 116

(x - 32)(x - 7) = 116

x^2 - 39x + 224 = 116

x^2 - 39x + 108 = 0

(x - 3)(x - 36) = 0

x = 3, 36

But (32 - x) > 0, so x does not equal to 36.

x = 3

3 years ago, the father would be 29 years old, and the son 4 years old.

i know it sounds crazy but i think its wrong lol

A necklace requires 25 beads to be completed.If kaylin has 7550 beads and each necklace cost $5 how much money will kaylin make?

Answers

Answer:

it is 1510 according to me and the calculator

Answer:

Kaylin can make $1510

Step-by-step explanation:

7550 beads ÷ 25 beads per necklace = 302 necklace in total

( or [tex]\frac{7550}{25} = 302[/tex] )

302 necklaces × $5 each = $1510 total

What is the sum of the degrees from a diagram with 5 vertices?

It is not 540

Answers

Answer:

The number of edges connected to a single vertex v is the degree of v. Thus, the sum of all the degrees of vertices in the graph equals the total number of incident pairs (v, e) we wanted to count.

HOPE THIS HELPS

find the solution for 6x+3y=3 3x-y=4​

Answers

I think the answer is 7x

Can somebody help me. Will Mark brainliest.

Answers

Answer:

Step-by-step explanation:

cos(x) = 21/38

x = arccos(21/38) ≅ 56°

I need help, this is so hard

Answers

Answer to these are in the picture I put

Please helpppp

Help

Answers

Answer:

( -2 , 4 ) --- ( -2 , 1 ) ------ ( -4 , 1 )

Step-by-step explanation:

Answer:

(-2,1) (-2,4) (-4,1)

Step-by-step explanation:

Possibly one of the easiest ways to figure this out is to take on of the points and count how many points go back to the y axis, in this case it goes back 2. Since its goes back two, on the other side we also need to go back two. Do this with all of the points. If you still don;t understand please don't hesitate to ask.

What is the output of this function when the input is 5?

Answers

Answer:

-1

Step-by-step explanation:

look at the graph, and find where x=5

where x=5, y=-1

Answer: 1

Step-by-step explanation:

just trust me bro i’m jp i got it right

PLEASE HELP

What is the circumference of a circle?

Answers

2 • pi • radius which is same as 2 • 3.14 • r

What is the length of the hypotenuse of a right triangle with legs of 50 ft. and 120 ft. ?
If needed, round your answer to the nearest tenths place (one decimal place).
Question 9
10 pts

Answers

Answer: 130 ft

Step-by-step explanation:

a^2 + b^2 = c^2

Where a and b are the legs that form the right angle and c is the hypotenuse (the side directly opposite of the right angle)

50^2 + 120^2 = c ^2

2,500 + 14,400 = c^2

16,900 = c^2

Take the square root of 16,900 to get c.

C = 130

Hypotenuse length is 130

the solution of the equation 5−2x=−4x−7 is
A. 1
B. 2
C. -2

D. 6

Answers

Answer:

None of the options.

Step-by-step explanation:

The solution to that equation is -6, which is not any of those choices.

Answer:

x - 6

Step-by-step explanation:

(It's none of the above)

5 - 2x = -4x - 7

5 + 2x = -7

2x = -12

x = -6

What is 8.45 rounded to the nearest tenth?

8.0

8.4

8.5

9.5

Answers

8.5
You round 5 up so you’d get 8.50 :)

Answer:

8.5

Step-by-step explanation:

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