Answer:
P(t) = 14300e^0.07t
Step-by-step explanation:
Let :
Population as a function of years, t = P(t) ;
Growth rate, r = 7%
Estimated population on year 2000 = Initial population = 14300
The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.
P(t) = Initial population*e^rt
P(t) = 14300*e^(0.07t)
P(t) = 14300e^0.07t
Where, t = number of years after year 2000.
Aaden has a points card for a movie theater.
• He receives 20 rewards points just for signing up.
• He earns 2.5 points for each visit to the movie theater.
• He needs 40 points for a free movie ticket.
a
Write and solve an equation which can be used to determine x, the number of
visits Aaden must make to earn a free movie ticket.
What’s the awnser ?
Answer:
He needs 8
Step-by-step explanation:
40 - 20 = 20
2.5 x 8 - 20
aaden needs to visit the movies 8 more times
Answer:
8
Step-by-step explanation:
20+2.5x=40
x equal the number of visits adam need to make to earn a free movie ticket
2.5x=40-20
2.5x=20
x= 20/2.5
x=8
what is 12890 X 567 pls tell me i need these for a test
Answer:
7,308,630
Step-by-step explanation:
Calculated it.
James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)
Answer:
His total distance is 149 miles.
Step-by-step explanation:
Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin. Then add that value with 42 and 45.
WILL GIVE BRAINLIEST!! ILL GIVE LINK IF YOU NEED IT
Answer: As x increases, the slope of the graph increases.
Which of the sets of ordered pairs represents a function?
A = {(3, −5), (4, 6), (3, 9), (2, 7)}
B = {(2, 4), (−1, 4), (5, 4), (4, 4)}
a
Both A and B
b
Only B
c
Only A
d
Neither A nor B
Answer:
B
Step-by-step explanation:
A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.
Therefore the answer is B, only B is a function.
Find the greatest common factor of the
following monomials:
18xy^ 30xy3
NO LINKS
Answer:
Step-by-step explanation:
6xy^3
What is the domain and range .
What’s the answer to A
Answer:60
Step-by-step explanation:
plz like
1/2-1/3x=-4 solve the equation
Answer: x=-21/2
Step-by-step explanation:
1
2
−
1
⋅
1
3
Answer:
x=27/2
Step-by-step explanation:
1/2-1/3x=-4
subtract 1/2 from both sides
1/2+-1/3x -1/2=-4 -1/2
Group like terms
-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2
Combine the fractions
-1/3 ⋅ x+0=-4 -1/2
Convert the integer into a fraction
-1/3 ⋅ x=-8/2 -1/2
Combine.
-1/3 ⋅ x= -9/2
Isolate the x:
-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1
1x=-9/2 ⋅ 3/-1
x= -9 ⋅ -3/2
x=27/2 as your answer
Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?
Answer:
Marco is 21
Step-by-step explanation:
Let the sister's age = x
Marco's age = 2*x - 5
x + 2x - 5 + 14 = 48 Combine the left side of the equation.
3x + 9 = 48 Subtract 9 from both sides
3x = 48 - 9
3x = 39 Divide by 3
x = 39/3
x = 13
So the sister is 13
Marco = 2x - 5 = 2*13 - 5
Marco = 21
An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices
a 3[sin (130 + 15)] t
b 3[sin (45 + 45)] t
c 3[sin (180 - 45)] t
d 3[sin (90 + 60)] t
The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Since the alternating current i in amperes after t seconds is i = 3(sin150)t.
We want to write 150 as the sum of two angles measures.
So, 150 = 90 + 60.
So, the current i = 3(sin150)t
i = 3[sin(90 + 60)]t
So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Learn more about sum of two angles here:
https://brainly.com/question/16560125
Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?
a. The function have the same graph
b. The graph of the function is not the same
c. The graph of the function is not exponential
help me please jfjfjd
Answer:
10. y degree = 102 degree
11. x degree = 103 degree
Step-by-step explanation:
The formula to calculate the sum of the interior range of polygons is (n-2) * 180.
With n being the number of sides.
From that sum, you can then deduce the angles of y or x, by substracting the other angles.
10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree
y = 360 - 120 - 85 - 53 = 102 degree
11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree
x = 540 - 117 - 100 - 105 - 115 = 103 degree
Urgent!!! thank uuuu!
Answer:
2. 0.93
3. 1.13
Step-by-step explanation:
2. 0.93
decreasing means - to the 100%
3. 1.13
increasing means + to 100%
At the craft store, Franklin bought a bag of red and brown marbles. He received 33 red marbles and 67 brown marbles. What percentage of the marbles were red?
Answer:
33% of the marbles were red
Can someone plss help me with this!!!
Answer:
10/1 or 10
Step-by-step ex planation:
The rate of change is just a fancy word for slope!
To find the slope of this line I found two points of the graph that were easy to determine. Slope = rise/run
which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning from my mistakes:)
Find the inverse of the function 6-5x
brainlist
Which of the following situations could be modeled by an linear function?
Question 17 options:
The number of people in a stadium is decreasing at a rate of 45% every 10 minutes
The water level of a tank doubles every day
The population of a small town grows at a rate of 2.4% each year
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year
A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.
Hope this helps!
Answer: D
Step-by-step explanation:
HELPE PLEASEEE Skjjjzjdjdjjsjsjdjdjdjd
.b- 15 = -12
b = 15 - 12
b = 3
. x - 5 = 7
x = 7 + 5
x = 12
. r + 6 = 11
r = 11 - 6
r = 5
. v/15 = 15
v = 15 × 15
v = 225
Answer:
3. b = 3
5. x = 12
7. r = 5
9. v = -225
Step-by-step explanation:
3. b - 15 = -12
To get b by itself we have to add 15 to both sides.
b = 15-12
b = 3
5. x-5 = 7
To get x by itself we have to add 5 to both sides.
x = 5+7
x = 12
7. r + 6 = 11
To get r by itself we have to subtract 6 to both sides.
r = 11-6
r = 5
9. [tex]\frac{v}{15}[/tex] = -15
To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]
v = -15(15)
v = -225
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Lynne walks dogs every day to earn money. The fees she charges per month are 1 dog,$40;2 dogs,$37.25 each;3 dogs,$34.50 each;4 dogs,$31.75 each. A pet store wants her to walk 8 dogs if the pattern continues, how much will Lynne charge to walk each of the 8 dogs.
Answer:
The answer is $20.75
A dog: 40$
2: $37.25
3: $34.50
4: $31.75
5: $29
6: $26.25
7: $23.50
8: $ 20.75
Step-by-step explanation:
Minus $2.75 is the pattern
Answer:
$ 59.25
Step-by-step explanation:
The given rates form an AP (Arithmetic Progression).
Let the cost of walking 1 dog be taken as the first term
and,
cost of walking 2 dogs as second term,
we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.
So, it's safe to say that
In the AP:
First term is $ 40
Common difference is $ 2.75
Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.
Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):
[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]
[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]
[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]
[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]
[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]
Answer:Hence, the charge to walk each of the eight dogs is $ 20.75
the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?
Answer:
$41.78
Step-by-step explanation:
tax is 4.5% on top of original price of 39.98
so multiplying 39.98 by 1.045 gives us 41.78
you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included
Please help me on question 32!!!
PLEASE I AM IN DESPERATE NEED OF HELP
Select the correct answer.
Consider the formula for the slope between two coordinate points, m, shown below.
V2 — 91
m =
12 - 11
Which of the following equations is equivalent to the slope formula?
OA.
OB.
*1 =
Y2 =
m(x2 - x) + y
mly₂-4₂) + x2
12 = m(y₂ - y₂) + x1
yz = m(x2 – x1) + y2
O C.
OD
=
Reset
Next
Answer:
it's A
Step-by-step explanation:
yeah-ya ............... right?
Write an equation of the line that passes through the points (3,6) and (4,9)
Answer:
y=3x-3
Step-by-step explanation:
slope = change in y/change in x
slope = 3/1 = 3
y-intercept = y value when x=0
go 3u left, 3x3 = 9 so 9u down
(0,-3)
slope = m = 3
y-int = b = -3
y=mx+b
y=3x-3
Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?
Answer:
174.6
Step-by-step explanation:
88 kg = 194.007 - 10%
194 * 10% = 194 - 19.4 = 174.6
the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?
Answer:
since opp. angles of a parallelogram is equal.
therefore,
let the angle be x
thus,
x+x=140
2x=140
x=70°
co interior angles are supplimentary,
thus,
x+y=180
y=180-70
y=110°
opp. angles are equal thus,
fourth angle =110°
1st angle=70
2nd angle=70
3rd angle =110°
Step-by-step explanation:
please help mwah
ty :)
Answer:
y-9 = -4(x+2)
Step-by-step explanation:
-
Hope that helps
Find the sum.
(7y+7)+(3m−3)+(8x+8)
Thanks!
if any doubt leave a comment