Answers
Answer:
a_n = 39(1.06)^(n - 1)
Step-by-step explanation:
We are told that a_n is the number of raccoons in a given n number of years.
After 6 years, there are 52 raccoons.
Also after 8 years there are 58 raccoons.
Using formula for geometric sequence, we have;
a_n = ar^(n - 1)
After 6 years, there are 52 raccoons
Thus;
a_6 = 52 = ar^(6 - 1)
ar^(5) = 52 - - - (eq 1)
Also after 8 years there are 58 raccoons. Thus;
a_8 = 58 = ar^(8 - 1)
ar^(7) = 58 - - - (eq 2)
Divide eq 1 by eq 2 to get;
(r^(7))/(r^(5)) = 58/52
r² = 58/52
r = √(58/52)
r ≈ 1.06
Put 1.06 for r in eq 1 to get;
a(1.06)^(5) = 52
1.3382a = 52
a = 52/1.3382
a ≈ 39
Thus,the explicit rule is;
a_n = 39(1.06)^(n - 1)
Related Questions
Dexter has 40 dimes and quarters. He has $5.20. How many quarters does he have?
How many dimes does he have?
Answers
Answer:
dimes = 32
quarters = 8
Step-by-step explanation:
set up a system of equations:
let d = # of dimes
let q = # of quarters
d + q = 40
.10d + .25q = 5.2
substitution method; let 'q' = 40 - d
.10d + .25(40 - d) = 5.2
.10d + 10 - .25d = 5.2
-.15d = -4.8
d = 32
q = 40 - 32 = 8
Answer:
Step-by-step explanation:
32 dimes
8 quarters
1. What is the equation of the line?*
Answers
Answer:
1
Step-by-step explanation:
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answers
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
Creative Logic: Kevin is hiking on the trail and has to cross a rope bridge. He looks down at the raging river below and is suddenly very nervous. The bridge has 20 planks on it and every time he steps forwards five planks, he then steps backwards four planks. How many times must he do this to reach the other side?
Answers
Answer: 40 times
Step-by-step explanation:
Given: Total planks = 20
By using integers, Steps forward is represented by +5, Steps backward s represented by -4.
After first set of two steps ( one forward another backward), 5-4 =1 step forward is captured.
For 20 planks , we require 20 such sets, i.e. he will do this 2x 20 times i.e. 40 times.
Hence, he will do this 40 times to reach the other side.
BRAINLIEST! URGENT! Please help, I've been stuck on this problem for a while now. If you know the answer, please provide an explanation. Thank you.
Answers
C is the answer
POSSIBLE POINTS: 100 A theater has group prices for tickets. The first ticket will cost $8 while each additional ticket will cost $5. Write a rule to model the situation. Then use the rule to find how the total cost of 13 tickets. Let n represent the number of tickets and c represent the total cost
Answers
Answer:
c = 8+5n
total cost of 13 tickets = $68
Step-by-step explanation:
c = 8 + 5(12)
c = 8 + 60
c = 68
(i put 12 because were already adding 8 for that ONE ticket)
how many square inches are needed to cover a square foot????? Please help me?!?!?!??!?!
Answers
Answer:
144
Step-by-step explanation:
12 inches by 12 inches is 144. quick mafs
Answer:
144
Step-by-step explanation:
It says write in scientific notation but isn’t it already in scientific notation ???
Answers
PLEASE IM BEGGING MAN I DONT WANNA FAIL MATH PLEASE HELP ME
Answers
HELP I NEED HELP ASAP
Answers
Answer:
Step-by-step explanation:
1). Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,
m = [tex]\frac{-10-18}{2+2}[/tex]
m = -7
2). From the table attached,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of line passing through (4, -6) and (0, -2) will be,
Slope = [tex]\frac{-6+2}{4-0}[/tex]
Slope = -1
A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where
6
4
2
-8
-6
-4
-2
2
6
8
-2
-6
How many feet of fencing will the homeowner need to build the dog pen?
Answers
Answer:52
Step-by-step explanation:
I really need help with this question thanks
Answers
Answer:
The answer is A
Step-by-step example:
I just took the test and got it right hope this helps you!!!
The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?
I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points
Answers
Step-by-step explanation:
We have
Summer membership + $12 = 3(Weekend pass).
=> ($78) + ($12) = 3x
=> 3x = $90
=> x = $30.
Hence the weekend admission is $30.
Answer:
3x-12=78
Step-by-step explanation:
This is my thinking:
So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so
3x-12=78.
PLS ANSWER ITS DUE IN 5 MINUTES
Answers
Pi is the ratio of the circumference of a circle to its diameter, D
Answer:
D.
Step-by-step explanation:
is the ratio of the circumference of any circle to the diameter of that circle
HELPPP NEED THIS IN THE NEXT 10 MINSSS!!!!
Answers
hope helped
The vertices of a parallelogram ABCD are A(2,0) B(0,-3)C(3,-3) and D(5,0) if ABCD is reflected over the x-axis how many vertices will remain the same
Answers
Answer: 2 vertices
The two vertices in question are (2,0) and (5,0). These are points A and D. These two points are on the x axis, which is the line of reflection. Any point on a line of reflection does not move.
The points (0,-3) and (3,-3) are not on the line of reflection, so they do move and are reflected to another location. Refer to the diagram below.
Write and solve an inequality which can be used to determine x, the number of gigabyte Jose can use while staying in his budget
Answers
cant see the numbers
Diana received $675.00 as an incentive for winning the
7th grade writing competition. She spent $405.00 for a
new phone. What percentage of her incentive did she
use for her phone?
Answers
Answer:
she used 60% of her money on the phone
Step-by-step explanation:
Select all that apply. If there are 8 chocolate chip cookies out of 20 total cookies in a jar, what is the probability that you will randomly choose a chocolate chip cookie?
A. 2/5
B. 0.4
C. 0.8
D. 40%
Answers
Answer:
B) 0.4, D) 40% and A) 2/5
Step-by-step explanation:
Part/Whole=%/100
8/20=0.4*100=40%=2/5=0.4
The probability that you will randomly choose a chocolate chip cookie is 2 by 5 and 0.4, and 40%.
Given that,
There are 8 chocolate chip cookies out of 20 total cookies in a jar.Based on the above information, the calculation is as follows:
[tex]= 8\div 20\\\\= 2\div 5\\\\= 0.40\\= 40\%[/tex]
Learn more: brainly.com/question/16911495
help me please geometry is starting to make me mad.
Answers
Answer:
48
Step-by-step explanation:
4x=148+44
4x=192
x=48
Answer:
Step-by-step explanation:
there are 360 degrees inside any 4-sided polygon
so add all four angle measures and set equal to 360:
3x + x + 44 + 148 = 360
4x + 192 = 360
4x = 168
x = 42
check:
3(42) + 42 + 44 + 148 should equal 360
126 + 42 + 192 = 360
168 + 192 = 360
360 = 360
b ^ 2 - 4b - 14 = 0
Answers
For this equation: a=1, b=4, c=-14
Use the quadratic formula and plug in the values^
Answer: 2 + 3 square root of 2, 2 - 3 square root of 2
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Answers
what is the answer to this
Answers
9514 1404 393
Answer:
36
Step-by-step explanation:
The sum of the tangent segments shown is ...
6 + 3 + 9 = 18
The unmarked tangent segments will have the same measure to the same vertex as the marked tangent segments. The perimeter is ...
2 × 18 = 36 units
Please helppppp it’s due soon and I’m already failing my class!!!
Answers
Answer:
For an equation like:
y = a*x + b
a is the slope, and this is the rate of change of the function.
For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.
Then the slope is the rate of change that tells how the quantity of oxygen changes as time passes. Then the slope is the amount of oxygen that is consumed per unit of time.
Evaluate the expectations for the given value of x
3x-2forx=2
Answers
= 3(2) - 2
= 6 - 2
= 4
So, in conclusion, the answer to this question is 4.
HELP ME I FORGOT HOW TO DO THIS please explain
Answers
Answer:
Y = 40
X = 101
W = 20
Step-by-step explanation:
All of the triangles Angles should equal 180!
The middle triangle has 39°,x°,and y°.
The triangle on the right has 121°,39°, and w°
First you’ll solve for y° using the left triangles values which will be 40°.
Then you will solve for the x° using the middle triangles values which will be 101°
Lastly you’ll solve for the w° using the triangle on the right which will be 20°
Hope this helps! Reply if you need further help!
PLEASE HELP I'M REALLY CONFUSED:(
-3 l x + 4 l equals -6. solve equation
a.) x = -2 only
b.) x = -2, x = 6
c.) x = -6, x = -2
d.) no solution
Answers
-3x-12=-6
-3x=6
X=-2
Anyone know how to do this I really don’t understand
Answers
Answer:
slope of AB = 4
slope of CD = 4
Step-by-step explanation:
We simply use the slope formula for this;
The slope formula is;
m = (y2-y1)/(x2-x1)
for AB, we have;
m = (3+1)/(6-5) = 4
For CD, we have
m = (-1-3)/(1-2) = -4/-1 = 4
If Judy uses 400 chocolate chips to make x cookies, write an expression that represents the number of chocolate chips in each cookie.
Answers
Answer:
y=[tex]\frac{400}{x}[/tex]
Step-by-step explanation:
Answer: 400/x (over x} = Y {amount on each cookie}
Step-by-step explanation:
please help ill mark first eho answers brainliest
Answers
ejejnAn equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?