9514 1404 393
Answer:
the n-th root of the ratio of ending to starting values, less 1
Step-by-step explanation:
When I have starting and ending values over a time period, I usually use those directly in the exponential equation. If you're asked for a percentage growth rate, then you have to convert the growth factor to a growth rate.
__
The exponential equation can be written ...
f(t) = (initial value) × ((final value)/(initial value))^(t/(time period))
In your example case, this would be ...
f(t) = 2 × (20/2)^(t/18)
f(t) = 2(10^(t/18)) . . . . . . simplified
__
To convert this to the form ...
f(t) = 2(1 +(growth rate))^t
recognize that ...
(1 +(growth rate)^t = (10^(1/18))^t
So, you need to find the value of ...
10^(1/18) = 10^(1/18) ≈ 1.13646 = 1 + 13.646%
Then the growth rate is about 13.6% each week.
__
Sometimes, you want to use this in the form ...
f(t) = (initial value)×(1 + (growth rate))^t
and sometimes you want the form ...
f(t) = (initial value)×e^(kt)
When you solve for k, you find it is ...
k = ln(1 + (growth rate)) . . . . . . . . where ln(x) is the natural logarithm of x
Here, that is ...
k = ln(10^(1/18)) = ln(10)/18 ≈ 0.12792
__
Your final growth equation could be any of ...
f(t) = 2(10^(t/18)) . . . . . . . my personal favorite, as no rounding is involved
f(t) = 2(1.13646^t)
f(t) = 2e^(0.12792t)
What is part A and B??
What are the solutions to the quadratic equation 4(x + 2)2 = 36
x= -11 and x = 7
x = -7 and x = 11
OOOO
x= -5 and x = 1
x= -1 and x = 5
Answer:
x = -5 and x = 1
Step-by-step explanation:
4( x2 + 4x + 4 ) = 36
4x2 + 16x + 16 = 36
4x2 + 16x - 20 = 0
x2 + 4x - 5 = 0
Answer:
C. x = -5, and x = 1
Step-by-step explanation:
You have the equation 4(x + 2)2 = 36
You then isolate 4 out of the equation using division on both sides
You are left with (x+2)2 = 9
Next, take square roots
[tex]\sqrt({x} +2) ^{2}[/tex] = [tex]\sqrt{9}[/tex]
This leaves you with x + 2 ± 9
So, x = -2 + 3 = 1
or
x = -2 - 3 = -5
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24 minutes of calls is $21.64, and the remaining credit after 35 minutes of calls is $20.10. What is the remaining credit after 45 minutes of calls?
Answer:
The remaining credit after 45 minutes of calls is $18.70
Step-by-step explanation:
Here, we have a linear model to work with
Let us have the coordinates as follows;
(time calling time, credit remaining)
So we have two points as follows;
(24,21.64) and (35,20.10)
The slope will be;
(20.1-21.64)/(35-24) = -1.54/11 = -0.14
So the equation looks like;
y = -0.14x + c
To get the y-intercept, we simply substitute a point
Let us use (35,20.10)
20.10 = -0.14(35) + c
c = 20.10 + 4.9
c = 25
So the full equation is;
y = -0.14x + 25
So for 45 minutes, simply substitute 45 for x
We have this as:
y = -0.14(45) + 25
y = -6.3 + 25 = $18.70
Which of the following is equal to the absolute value of −15?
Answer:
15
Step-by-step explanation:
the absolute value of -15 is 15
PLEASE HELP!
Estimate 132% of 42
Answer:
55.44 i believe
Step-by-step explanation:
If
A. Acute
B. Obtuse
C. Right
D. Straight
Answer:
This question does not make sense. Is their an image that needs to be included?
Step-by-step explanation:
Answer:
Angle EAT is acute
Step-by-step explanation:
What is the measurement of <8
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
What's the equation of the line that passes through the points (–1,5) and (1,–1)?
Answer:
y = -3x + 2
extra characters down here
#still workin on sisters test she made me plz help on all 3 questions
Answer:
22. Idaho Falls
23.10 6/10
24. -12
What is the quotient of 3/4 5/6
slope=
1/3; y-intercept = -1
Answer:
y = 1/3x - 1
Step-by-step explanation:
We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1
Best of Luck!
there are 15 fruits in a bow 6 of them are apples. What percentage of the pieces of in the bowl are apples?
Answer: 40%
Step-by-step explanation: 6/15= 0.40
I need help anyone I'll give you 50 points, asap !!!
Answer:
Step-by-step explanation:
d
Answer:
Letter d
Step-by-step explanation:
pls mark this as brainliest! thx :)
In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
songs. By drawing a Venn-diagram, find;
(i) how many people like both the songs?
(ii) How many people like only one song?
Please help me i will mark brainlist
Answer:
i cant make a diagram but here i go.
Step-by-step explanation:
250-135=115
250-150=100
100+115=215
250-215=35
So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.
A new bank customer with $3,500 wants to open a money market account. The bank is offering a simple interest of 1.6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
Answer:
A is $490 and B is 3990
Step-by-step explanation:
The way I solved this is with my last brain cells, you welcome.
Algebra 1 , PLEASE PLEASE help . and if you know how to do algebra i'll have more question you can answer .. if you want :, )
Answer:
It's A, Because it makes the most sense in this algebra question.
Step-by-step explanation:
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
what is the answer to –(d+1)>3
Answer:
−(d+1)>3
Step 1: Simplify both sides of the inequality.
−d−1>3
Step 2: Add 1 to both sides.
−d−1+1>3+1
−d>4
Step 3: Divide both sides by -1.
[tex]\frac{-d}{-1}[/tex] > [tex]\frac{4}{-1}[/tex]
d < -4
6. A ball is thrown at an upward velocity of 72 feet per second from a platform that is raised 10 feet
off the ground. Use the equation y = -12 + vt + h where y is the ending height of the ball, t is the
time in seconds, v is the ball's velocity, and h is the intial height, in feet, of the ball.
How long will it take the ball to reach its maximum height, and what is that maximum height?
(Disregard any extra height added by the person throwing the ball.)
Answer:
Question 675528: A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by s(t)=-16t^2+48t+8 where s(t) is measured in feet above the ground and t is the number of seconds of flight.
Step-by-step explanation:
August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?
This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!
Answer:
14oz soup/ person
Step-by-step explanation:
the answer would be 14oz of soup/person
multiply 7 (cans of soup) by 16 (oz per can)
7*16=112
divide 112 (oz of soup total) by 8 (number of people feeding)
112/8=14
Maria's dinner bill is $21.89 after tax. If she wants to leave 15% tip, what will the total cost of the dinner be
Answer:
24.56
Step-by-step explanation:
Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10 ????? Help!!!
Answer:
100!!
Step-by-step explanation:
Hope this helps
Answer:
100
Step-by-step explanation:
5 x 12 = 60 +10 + 10 +10 +10
60 +40= 100
find the slope of the line containing the points (4,-3) and (-1, 7)
Answer:
-2
Step-by-step explanation:
7 + 3 / -1 - 4
10/-5 = -2
slope is -2
Triangle ABC, shown in the diagram below, is an isosceles triangle.
Answer:
42.5
Step-by-step explanation:
those two dashes or lines on the sides of the tringle or between A and B or A and C mean that those line are the same length so I would guess your answer is the same as the other givin length which is 42.5
A sno-cone machine priced at $139 is on sale for 20% off. What is the price of the sno-cone machine after the discount? *
solve for x
11x+ 3 = X-7
Answer
x= x/11 - 10/11
Step-by-step explanation:
x over 10 take away 10 over 11
The bakers at the healthy bakery can make 160 bagels in 10 hours how many bagels contain make in 16 hours
Answer:
256
Step-by-step explanation:
divide 160 by 10 to get the bagels per hour then times 16
HELPPPP PLZ !..
Find the distance from C to G.
Answer:
3/64
Step-by-step explanation:
The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.
Given :
AG = 4x + 16
BG = 10x - 8
The following steps can be used in order to determine the distance from C to G:
Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.
Step 2 - Now, if G is the circumcenter then:
AG = BG = CG
Step 3 - Now, substitute the value of AG and BG in the above expression.
4x + 16 = 10x - 8
24 = 6x
x = 4
Step 4 - Now, use the relation BG = CG in order to determine the value of CG.
10(4) - 8 = CG
CG = 32
For more information, refer to the link given below:
https://brainly.com/question/22051318
PLEASE HELP ME ILL GIVE BRAINLIEST I REALLY NEED HELP PLEASEE
Answer:
B) y<3/2x+2
Step-by-step explanation:
cause y is less than the slope of 3/2 threw the point of 2 on the y axis
also < and > meansd its a dotted line
What is the surface area of a cylinder with a radius of 6 cm and a height of 3 cm?
A.108cm
B.72cm
C.54cm
D.36 cm?
Step-by-step explanation:
2πr^2h
2*22/7*6*6*3
2*22/7*36*3
2*22/7*108
3w + 6 - 4w + 3b + 2 +2b=
The answer is 5b - w + 8
Step-by-step explanation:
Answer:
-w + 5b + 8
Step-by-step explanation:
Step 1: Since you're only dealing with addition and subtraction, the easiest method is to convert all subtraction to addition by adding the opposite. There is only one case of subtraction (-4w) which can be changed to adding negative 4w:
3w + 6 + (-4w) + 3b + 2 + 2b
Step 2: Combine like terms to simplify:
3w + (-4w) = -w
3b + 2b = 5b
6 + 2 = 8
Answer:
-w + 5b + 8