Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
(3,-2);slope 1/3 what is the answer?
Answer:
y = [tex]\frac{1}{3}[/tex] x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{3}[/tex] , then
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 2 - 1 = - 3
y = [tex]\frac{1}{3}[/tex] x - 3 ← equation of line
2. Tiangle ABC has vertices A(3, 3), B(2,-4), and c(0, 0). This triangle is rotated 90
degrees counterelookwise. About vertex C. Draw the rotated shape and write the new
coordinates
10
PLEASE HELP!
please help !! What is the area of the trapezoid shown below?
4
5
Answer:
the area of the trapezoid is (8 + 4).3/2 = 18
Answer:
18
Step-by-step explanation:
khan
Please help! The question and answer choices are attached.
I will give brainliest if you answer please
ok the answer is b
Step-by-step explanation:
Given the definitions of f(c) and g(x) below, find the value of g(f(5)).
f(x) = 2x – 10
g(x) = x2 + 6x – 8
Answer:
gf(5) = -8
Step-by-step explanation:
gf(x) = g(x^-1) = x^2 + 6x - 8
f(x) = 2x - 10
gf(x) = 6(2x - 10) - 8
gf(x) = 12x - 60 - 8
gf(x) = 12x - 68
gf(5) = gf(x) = 12x - 68
gf(5) = 12(5) - 68
gf(5) = 60 - 68
gf(5) = -8
[tex] \sqrt{2x + 1 } = x - 1[/tex]
To the nearest millimeter, a cell phone is 105 mm long and 66 mm wide. What is the ratio of the width to the length?
Answer:
22/35
Step-by-step explanation:
width/length = 66/105 = 22/35
Answer:
66/105
it says width to the length
not length to length
Give the sum of 2m/y and m/y.
Answer:
=2m/y+m/y
= 2m+m/y
=3m/y
a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the situation
I have attached an image showing the graph of the function.
Answer:
Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.
Step-by-step explanation:
First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.
Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.
This means that f(x) = 0 at x = 15 and at x = 70.
Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.
Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70
PLEASE HELP MEEEEEEEE :)))
Answer:
26
Step-by-step explanation:
Devaughn = 2x
Sydney = x
x + 2x = 78
3x = 78
x = 78 / 3
x = 26
Hope that helps!
Answer:
26
Step-by-step explanation:
Lets say Devaughn age = d and Sydney age = s
Therefore,
d = 2s
and s + d = 78
Well, we can use substitution for d.
s + (2s) = 78
3s = 78
s = 26
James works at a shop and earns 5.5% commission on his sales. Last month, he earned $265.32 in commission. Calculate his sales for the month.
Answer:
$14.59
Step-by-step explanation:
commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.
The functions f(x) and g(x) are shown on the graph. f(x) = |x|
what is g(x)
Answer:
D
Step-by-step explanation:
Answer:
i just took it. its actually g(x)=|x+5|
Step-by-step explanation:
The length of a rectangular driveway is 3 times its width. If the length is 7 % yards, find
the length of the driveway and the area of the driveway.
Answer:
3 x 7 and 1/6 = 21 and 1/126
Step-by-step explanation:
your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.
A family eats at a restaurant. The bill was $54. The family leaves a tip and spends $60 total. How much was the tip as a perentage of the bill? (round to the nearest whole percent)
Answer:
11%
Step-by-step explanation:
60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.
The bill is $54.
6/54 = 0.1 recurring
0.1 × 100 = 11.1%
11% is the percentage.
I hope that helps!! ^-^
what is equvalint to 1/2a-4
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth a=? b = 5, c = 12 what is A
Answer:
Approximately 10.9
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
Plug in b (5) and c (12)
[tex]a^2+5^2=12^2\\a^2+25=144[/tex]
Subtract 25 from both sides
[tex]a^2+25-25=144-25\\a^2=119[/tex]
Take the square root of both sides
[tex]\sqrt{a^2} =\sqrt{119}[/tex]
a = approximately 10.9
I hope this helps!
Maria averaged 212 miles on the first 3 days of her trip.She averaged only 104 miles on the other six days of her trip what was the overall average number of the miles travel
Answer:
1260
Step-by-step explanation:
212x3=636
104x6=624
636+624=1260
Can someone help me with this question please
Answer:
Step-by-step explanation:
y+ 20= x+ 15( Vertically opposite angles)
y+ 20- 15= x
x= y+ 5 __(1)
3x+ 5=4y- 15
Substituting (1)
3(y+5)+ 5= 4y-15
3y+15+5=4y- 15
y=15+20
y= 35
x= 40
A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet if a mini car 6 feet long and five feet wide parks in the space, then how many square feet of the parking space is not covered by the car
Answer:
123 cm²
Step-by-step explanation:
First of all, we need to know how exactly to find the area of a parallelogram.
Area of parallelogram= Base*Height
PARALLELOGRAM-
BASE= 17 ft
HEIGHT= 9ft
AREA= 17*9= 153 cm²
The area of parallelogram, will be considered as WHOLE AREA.
Now,
AREA OF MINI CAR-
length= 6 ft
Width= 5 ft
Area= 6*5= 30 ft ²
Square feet uncovere-
153 ft²- 30 ft²= 123 ft²
HOPE IT HELPS!
can someone help me?
Answer:
Y=1.5x+1
Step-by-step explanation:
The new law and the rest to the right to be a part of this year and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that
Helppp no scamming
Triangle ABC has vertices A(0, 4), B(2, 1), and C(4, 3). Find the
coordinates of the vertices of ABC after a reflection over the
x-axis. Then graph the figure and its reflected image.
Answer:
A'= (0,-4)
B'= (2,-1)
C'= (4,-3)
Step-by-step explanation:
After you flip it over the x-axis, it would be
A'= (0,-4)
B'= (2,-1)
C'= (4,-3)
ILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU DONT KNOW DONT ANSWER
Answer:
A) CPCTC
Step-by-step explanation:
This part of the proof occurs right after two triangles are proven congruent. One could now conclude and establish that every part of each congruent triangle is congruent, which is what is most likely happening in this scenario.
HELP HELP HELP PLZZZ right answers only and no links
Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph represent the value of goods at which profit of of the company is zero → Break even of the company
Maximum value of the graph represents the maximum profit of the company at certain price of the goods.
Part B
Interval in which the function is increasing → x = 0 to x = $3
Profit of the company increases when price of the goods increase from 0 to 3.
Interval in which the function is decreasing → x = $3 to x = $6
Profit of the company decreases when the price of the goods increases from 3 to 6.
Part C
Average rate of change of the function from x = a and x = b,
= [tex]\frac{f(b)-f(a)}{b-a}[/tex]
By applying the same rule,
Average rate of change of the function between x = 1 and x = 3
= [tex]\frac{120-60}{3-1}[/tex]
= [tex]\frac{60}{2}[/tex]
= 30
Classify each pair of angles as adjacent, vertical, supplementary, complementary, or neither.
Adjacent
Vertical
Supplementary
Complementary
Neither
PLEASE HELPP MEE
Answer:
Complementary
Step-by-step explanation:
49°+41° = 90°
a father is 24years older than his son. if the son is x years old, how old is the father and if the ratio of their ages is 5:2, what is the age of the son?
x+25/x=5/2
5x=2(x+24) 5x=2x+48
5x-2x=48
3x=48 3x/3=48/3
the age of son=16
father=24+x 24+16=40
F=40 s=16
40/16=5:2
Kiki bought a hot dog for $3.95 and an iced tea for $1.20. How much change will she receive from a $20 bill? To determine the answer first find the total cost. What was the cost for both items?
Answer:
She will receive $14.85
Step-by-step explanation:
$3.95+$1.20=$5.15
$20-5.15=$14.85
Therefore the answer is $14.85
Hope that Helps
I'm in a rush but please take your time answering! I'm giving out 100 points and I'll give brainliest right away! Thank you!
Answer:
d
Step-by-step explanation:
ALGEBRA 1:
FIND THE PRODUCT OF THE FOLLOWING:
(x^2+2)(5x+1)
please somebody help me, if you’re correct i’ll give you an extra 50 points for helping. please do not use my question for points as i am failing and truly need help i’m so stressed lol.
Arrange the numbers in ascending order 2121,3625,8750,6540
2121, 3625,6540 and 8750 is the answer.
hope it helps