The following function represents exponential growth or decay.
P= 2.9(1.05)^t

a. The initial quantity is :_______________
b. The initial quantity is :__________
c. Is the quantity growing or decaying?

Answers

Answer 1

Answer:

a) The initial quantity is 2.9.

b) The initial quantity is 2.9.

c) The multiplier is 1.05 > 1, and thus, the quantity is growing.

Step-by-step explanation:

Exponential equations:

Have the following format:

[tex]A(t) = A(0)(k)^t[/tex]

In which A(0) is the initial amount and k is the multiplier.

If k > 0, the quantity is growing.

If k < 0, the quintity is decaying.

In this question:

[tex]P(t) = 2.9(1.05)^t[/tex]

a, b. The initial quantity is

P(0). So

[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]

The initial quantity is 2.9.

c. Is the quantity growing or decaying?

The multiplier is 1.05 > 1, and thus, the quantity is growing.


Related Questions

Deandra traded $2800 for Swiss francs, immediately changed her mind, and
then promptly traded her Swiss francs back into dollars. Which of these
amounts is she most likely to have?
A. More than $0 but less than $2800
B. $0
C. $2800
D. More than $2800
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

More than $0 but less than $2800

The correct option is (A).

What is data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

Given:

Deandra traded $2800 for Swiss francs.

So, she would have More than $0 but less than $2800.

This is because she will not get the same amount back she has only has more than 0 and less than 2800.

Learn more about data here:

https://brainly.com/question/10980404

#SPJ2

Given f(x) = (1/4) -x, evaluate f(-2), f(1), and f(2). Question 3 options: a. 1/16, 4, 16 b. 16, 1/4, 1/16 c. 16, 4, 16 D. 16, 4, 1/16

Answers

Answer:

1/16 ;4 ; 16

Step-by-step explanation:

Given that :

f(x) = 1/4^-x

f(-2) = 1/4^-(-2)

f(-2) = (1/4)^2

f(-2) = (1/16)

f(1) = 1/4^-1

f(1) = 1 / (1/4)^1

f(1) = 1 * 4/1 = 4

f(2) = 1/4^-2

f(1) = 1 / (1/4)^2

f(1) = 1 / (1/16)

f(1) = 1 * 16/1 = 16

(-3, 5) is located in ____

a. Quadrant |||

b. Quadrant |

c. Quadrant |V

d. Quadrant ||

Answers

Answer:

D

Step-by-step explanation:

This is considered quadrant II

Clarksville Middle School spends $14 for every workbook it buys. At most how many workbooks can Clarksville Middle School buy if it has $28 to spend? workbooks​

Answers

Answer

coochie man

Step-by-step explanation:

Please help!! What is x?

Answers

Answer:

12

Step-by-step explanation:

1) to calculate the length of RT (in ΔRST):

SR/sin60°=12√3 / (√3/2)=12.

2) in ΔQRT RT=RQ=x (the m∠T=m∠Q !), then x=12.

What is the equation of the circle?


Answers

Answer:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

Step-by-step explanation:

The equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, r is the radius.

(h,k) is the coordinates for the center point.

In this image, it appears K is 3 units away from any point on the circle, making 3 the radius.

Our equation is now ( x - h )^2 + ( y - k )^2 = 3^2

Now, we need to find the coordinate of K; the center point.

K's x is -1 and K's y is also -1.

Our equation is now:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

Determine the equation of the circle graphed below.

Answers

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

Step-by-step explanation:

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where:

[tex]Center = (h,k)[/tex]

[tex]radius \to r[/tex]

From the graph, we have

[tex](h,k) = (6,2)[/tex]

[tex]r = 2[/tex]

So:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex] becomes

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex]

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

If M is the midpoint of AB, find the coordinates of A if M(-3, 5) and B(6, -11)

Answers

midpoint= (x, y)

where x=(x1 + x2)/2

y=(y1 + y2)/2

x1=-3, x2=6, y1=5, y2=-11

so x=(-3 + 6)/2= 3/2

y=(5 + -11)/2= (5-11)/2= -6/2= -3

so mid point =(3/2, -3)

hope this helps

This type of member variable may be accessed before any objects of the class have been created.

a. private
b. public
c. inline
d. static
e. None of these

Answers

Answer:

d. static

Step-by-step explanation:

This is a question about Java programming.

A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.

Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.

What is the first term of the sequence with nth term formula 100n + 3?
Submit Answer

Answers

Answer:

Step-by-step explanation:

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

answer is in photo above

help. no links. will give brainlist if your correct

Answers

Answer: A

Explanation: The numbers to the coordinates match (x,y) where x indicates the term number. Whereas, y represents the different patterns. We can use this information to say that answer A is correct. Richard’s number pattern matches the table and Sebastian’s number pattern.

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving distance. b. What is the probability the driving distance for one of these golfers is less than 290 yards

Answers

Answer:

a) [tex]f(x) = \frac{1}{25.9}[/tex]

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The probability density function of the uniform distribution is:

[tex]f(x) = \frac{1}{b-a}[/tex]

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that [tex]a = 284.7, b = 310.6[/tex].

a. Give a mathematical expression for the probability density function of driving distance.

[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

What’s the answer help please

Answers

Answer:

-3/4

Step-by-step explanation:

Have a nice day

Which expression entered into a graphing calculator will return the probability
that 35 or fewer heads come up when flipping a coin 100 times?
A. binomcdf(35, 100, 0.5)
B. binomcdf(100, 0.5, 35)
C. binomcdf(100, 35, 0.5)
O D. binomcdf(35, 0.5, 100)

Answers

Answer:

B. binomcdf(100, 0.5, 35)

Step-by-step explanation:

Binomcdf function:

The binomcdf function has the following syntax:

binomcdf(n,p,a)

In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.

35 or fewer heads come up when flipping a coin 100 times.

100 coins are flipped, which means that n = 100.

Equally as likely to be heads or tails, so p = 0.5

35 or fewer heads, so a = 35.

Then

binomcdf(n,p,a) = binomcdf(100,0.5,35)

The correct answer is given by option B.

Please help me please please I really need help please please

A moving company charges $30 plus $0.15 per mile to rent a moving van. Another company charges $15 plus $0.20 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.

Answers

30 + .15x = 20 + .20x
10 = .05x
200= x
200 miles

solve 3x²-2x-5=0 by factorization method​

Answers

Answer:

Step-by-step explanation:

3x^2 -2x -5=0

3x^2 -(5-3)x -5=0

3x^2 -5x +3x -5=0

x(3x -5)+1(3x -5)=0

(x+1)(3x-5)=0

either (x+1)=0           OR, (3x-5)=0

x+1=0

x=0-1

x=-1

3x-5=0

3x=0+5

x=5/3

x=-1, 5/3

A package is weighed at 4 kg to the nearest kg.
Find the largest possible weight for the package.
ANSWER ASAP PLEASE

Answers

Answer:

3.99kg

Step-by-step explanation:

you can find it by 4kg minus 1 g that stills counts as rounding

Please help me with this math

Answers

Answer:

(E) 9

Step-by-step explanation:

[tex]\frac{(3^{2008})^2-(3^{2006})^2}{(3^{2007})^2-(3^{2005})^2} = \\\frac{(3^{2007+1})^2-(3^{2007-1})^2}{(3^{2007})^2-(3^{2007-2})^2} = \\\frac{(3^{2007})^2(3^{2}-3^{-2} )}{(3^{2007})^2(1-3^{-4} )} =\\\frac{9-\frac{1}{9} }{1-\frac{1}{81} }=\\\frac{80}{9}:\frac{80}{81} = \\\frac{80}{9}*\frac{81}{80} = \frac{81}{9} = 9[/tex]

Plot A of Astan Apple Orchard's produced an average of 246.343 bushels of apples over the last 5 years. The average number of bad bushels in the same period was 20.12. The approximate percentage of bad bushels was

Answers

Answer:

The approximate percentage of bad bushels was 8.17%.

Step-by-step explanation:

The percentage of bad bushels is given by the average number of bad bushels multiplied by 100 and divided by the average of bushels.

We have that:

Average number of bushels: 246.343

Average number of bad bushels: 20.12

The approximate percentage of bad bushels was

20.12*100%/246.343 = 8.17%

The approximate percentage of bad bushels was 8.17%.

HELPP DONT SEND A FILE WHATS the surface area explain step by step too

Answers

Answer:6

Step-by-step explanation:

Write a linear equation for the situation below.

A tank contains 20 gallons of gasoline. Two gallons are drained out of the tank every minute.​

Answers

Answer:

y = -2x + 20

Step-by-step explanation:

Use the linear equation, y = mx + b, where m is the slope and b is the y intercept.

In this situation, the y intercept is 20, since the starting amount of gasoline is 20 gallons.

The slope will be -2, since 2 gallons are drained per minute.

Plug in these values:

y = mx + b

y = -2x + 20

So, the linear equation is y = -2x + 20

Cyril walks 1500 feet from his house to school. What is the distance covered by Cyril in inches?
A. 18,000 in.
B. 18,500 in.
C. 18,600 in.
D. 19,000 in.

Answers

Answer:

A. 18,000in

Step-by-step explanation:

1,500 ×12=18,000

What method would be best to use 53=4(x-3)^2-11

Answers

Answer:

x = 7 , -1

Step-by-step explanation:

SOLUTION :-

[tex]4(x-3)^2-11 = 53[/tex]

Add 11 to both the sides.

[tex]=> 4(x-3)^2-11+11=53+11[/tex]

[tex]=> 4(x-3)^2 = 64[/tex]

Divide both the sides by 4.

[tex]=> \frac{4(x-3)^2}{4} = \frac{64}{4}[/tex]

[tex]=> (x-3)^2 = 16[/tex]

Root square both the sides.

[tex]=> \sqrt{(x-3)^2} = \sqrt{16}[/tex]

[tex]=> x-3 = +4 \; or -4[/tex]

Here , x will have two values -

1) [tex]x-3 = 4[/tex]

[tex]=> x = 4 + 3 = 7[/tex]

2) [tex]x - 3 = -4[/tex]

[tex]=> x = -4 + 3 = -1[/tex]

VERIFICATION :-

When x = 7 ,

[tex]4(x-3)^2 - 11 = 4(7 - 3)^2 - 11[/tex]

                       [tex]= 4 \times 4^2 - 11[/tex]

                       [tex]= 4 \times 16 - 11[/tex]

                       [tex]= 64 - 11[/tex]

                       [tex]= 53[/tex]

When x = -1 ,

[tex]4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11[/tex]

                       [tex]= 4 \times (-4)^2 - 11[/tex]

                       [tex]= 4 \times 16 - 11[/tex]

                       [tex]= 64 - 11[/tex]

                       [tex]= 53[/tex]

Four times the sum of 5 and some number is 4. What is the number

Answers

Answer:

n = -4

Step-by-step explanation:

1. the sum of 5 and some number translates to 5 + x.

2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).

3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4

4. Now you can solve the equation. When solved, the answer is n = -4

HELP ME PLEASE FAST

Don’t worry about the answer I pressed I pressed it by accident and I can’t take it off

Answers

Answer:

area of the rectangle

(3X²+5)(2X-3)

=3X²(2X-3)+5(2X-3)

=6X³-9X²+10X-15


5+ [14 + 5 - {6 (5 + 1 - 4)}]
simplify

Answers

Answer:

12

Step-by-step explanation:

1) 5+19−6(5+1−4)

2)5+19−6(6−4)

3)5+19−(6)(2)

4)5+19−12

5) 5+7

6) 12


Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)

Answers

Answer:

Tan B = 15 / 8

Step-by-step explanation:

Giveb the triangle :

The hypotenus :

Using Pythagoras rule :

Hypotenus² = 15² + 8²

Hypotenus² = 225 + 64

Hypotenus = 17

Tan B:

Using the trigonometric relation :

Tan B = opposite / Adjacent

Tan B = 15 / 8

Based on the information below, which statement provides a logical
conclusion?
On Monday, Suzanne got up at 6:00 a.m. and was on time for first period.
On Wednesday, Suzanne got up at 6:15 a.m. and was late to first period.

Answers

Answer:

It's A because on b it says is she gets up after 6:00 she will not be late and that's wrong cause she will be

all the given quadrilaterals in the picture on the right are squares and #1 ≅ #3, #2 ≅ # 4. find the area of the shaded region, if the area of the big square is 900 square units.

THANK YOU SO MUCH FOR YOUR HELP

Answers

Answer:

Step-by-step explanation:

If you have a square of side [tex]l[/tex], its diagonal would be [tex]l\sqrt{2}[/tex], and its area [tex]l^2[/tex]

If the big square has a area of 900, this implies that its side is [tex]\sqrt{900}[/tex], so the two diagonal of squares 2 and 4 added together would be [tex]\sqrt{900}[/tex], therefore one diagonal wold be [tex]\frac{\sqrt{900}}{2}[/tex]. and its side [tex]\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}[/tex]. The area (of one square) is [tex](\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}[/tex]

finally the two areas combined (squares 2 and 4) would be 225

Answer:

425

Step-by-step explanation:

I used help from the guy above me to find 2 and 4 so look at theirs for those. (Thank You). For 1 and 3. Each one is 1/9 of the big square. So each one is 1/9*900=100 100*2=200. And then we add 225+200=425.

Hope this helps :)

Which of the following statements is true?

A: The product of two rational numbers is irrational.

B: The sum of two rational numbers is rational.

C: The product of a non-zero rational number and an irrational number is rational.

D: The sum of a rational number and an irrational number is rational.

Answers

The answer would be D
Other Questions
Which of the following best describes "Jerusalem"?O Crossroads of trade between seasO Byzantine capitalO Holy city of a religionO Center of European education A storage tank has a radius of x + 5 metres and a height of x metres. Determine the dimensions of the tank if the volume is 192 m 3 . Round your answers to two decimal places. 3. Pedro used of a 33 ounce bottle ofsoap to wash his mother's car. Howmany ounces of soap did Pedro use?A 22 ouncesC 28 ouncesB 20 ouncesD 30 ounces DUE TODAY!!! PLS HELP IF YOU KNOW!!! m (slope) =b ( y - intercept) =x - intercept = What is the average snowfall in Tokyo? Which of the following represents the factorization of the polynomial below? 2x^2+5x+3 can someone please help PLEASE HELP ME WITH 27,28 and 29 Answer: The domain for f(x) is all real numbers GREATER than equal to 3 if a =(2/3)and m is any scalar find ma Write an equation of the line that goes through the points (-2,-2) and (-4,-4).PLEASE ANSWER **PLEASE I NEED LONG ANSWER**"a person's income reflects his or her value to society" disagree or agree There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be. Select the correct text in the passage.Which four phrases in this excerpt from Robert Stawell Ball's Great Astronomers convey a commendable tone toward Ptolemy's work?The name, Ptolemy, appears to have been a common one in Egypt in those days. The time at which he lived is fixed by the fact that his firstrecorded observation was made in 127 AD, and his last in 151 AD. When we add that he seems to have lived in or near Alexandria, or to use hisown words, "on the parallel of Alexandria," we have said everything that can be said so far as his individuality is concerned.Ptolemy is, without doubt, the greatest figure in ancient astronomy. He gathered up the wisdom of the philosophers who had preceded him.He Incorporated this with the results of his own observations, and illumined it with his theories. His speculations, even when they were, as wenow know, quite erroneous, had such an astonishing verisimilitude to the actual facts of nature that they commanded universal assent. Even inthese modern days we not unfrequently find lovers of paradox who maintain that Ptolemy's doctrines not only seem true, but actually are true. what is 300+45-9x2+22-1+2 define the term capacitance and its SI unit A 50mf capacitor, a 0.3H inductor and an 80 ohm resistor is connected in series with a 120v, 60Hz power sourceWhat is the impedance of a circuit? Atoms are attracted to each other because____A) electrons are attracted to protons because they have opposite charges B) magnets pull them together C) the protons are attracted to each other because they have the same charge D) they have some energySOMEONE PLEASE HELP:/! By requiring Germany to repay huge war debts, the Treaty of Versailles