Answer:
The model is [tex]P(t) = 2000(1.075)^{t}[/tex].
There will be 4122 fish in 10 years.
Step-by-step explanation:
Exponentially increasing population:
An exponentially increasing population can be represented by the following model:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.
A population of 2000 fish increases at an annual rate of 7.5%.
This means that [tex]P(0) = 2000, r = 0.075[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 2000(1+0.075)^t[/tex]
[tex]P(t) = 2000(1.075)^{t}[/tex]
This is the model.
How many fish will there be in 10 years?
This is P(10).
[tex]P(t) = 2000(1.075)^{t}[/tex]
[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]
There will be 4122 fish in 10 years.
Lillian puts 11 photos into a scrapbook she can put 4 photos on each page how many pages does Lillian complete fill. How many photos are left?
Need help with answer
Answer:
3x+3
Step-by-step explanation:
We can ad up all of those
x+x+6+x-3= so we get 3x+6-3 which is 3x+3
HELP ME PLZ ITS DUE SOON THX
Acetaminophen is a common pain reliever and fever reducer. Here is a graph showing the amount of acetaminophen, in milligrams, in an adult's body at different times after they take a normal dose.
1. What is the vertical intercept? What does it mean in this situation?
2. What fraction of the medicine remained after one hour?
3. Write an equation that represents the amount of medicine, a, after t hours.
Answer:
1.1000
2.3/4
3.f(x)=1000(1/4)^X
Step-by-step explanation:
Graph the inequality of x<0
The graph is shown below.
We use an open dot at zero because x is only less than 0,
it's not less than or equal to 0.
So we have an open dot at 0 going to the left.
A person who filed bankruptcy in the past is able to get a 30-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $150,000 loan is 11%, compounded monthly. Assume the person could have received the lower interest rate on the loan and saved all of the difference in the payments for the first 10 years of the loan. If this person invested this total amount in an account paying simple interest at the rate of 2.5%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $37,395.18 b. $74,790.37 c. $623.25 d. $3,739.52
Answer:
A. $37,395
Step-by-step explanation:
correct on edge! hope it helps :)
The savings from the difference between the 30–year loan at 11%, which
is 6% gives an interest when the mortgage is paid of approximately;
a. $37,395.18
How can the amount interest accumulated be calculated?
The amount paid is given as follows;
[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Which gives;
[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]
Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8
At the lower interest rate the person could have received (11 - 6 = 5)%, we have;
[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]
Payment in 10 years = $805.23 × 120 ≈ $92,227.6
Savings = $171,418.8 - $96,627.6 = $74,791.2
The time duration the savings is invested in the account = 30 years - 10 years = 20 years
Which gives;
Simple interest after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6
Therefore;
The option that best gives the amount of money that would have accumulated in interest is the option a.
a. $37,395.18
Learn more about compound and simple interest here:
https://brainly.com/question/24557100
https://brainly.com/question/9245816
Choose a random number between 1 and 25. What is the probability that it is an even number
Answer:
6/25
Step-by-step explanation:
its a probability out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25
Before a renovation, a movie theater had 138 seats. After the renovation, the theater has 173 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a pe
Answer:
17%
Step-by-step explanation:
graph negative 2y plus 6 equals 4x
Answer:
Step-by-step explanation:
7 8
— + —
100 10 what is the sum??
A polygon has the following coordinates: A(6,-7), B(1,-7), C(1,-4), D(3,-2), E(7,-2), F(7,-4). Find the length of BC
Answer: B= 2,4
C=8,1
Step-by-step explanation:
Answer:
I believe its 5 units!
Step-by-step explanation:
if right answer I will give brainly and 90 points
Answer:
i can bet my brainliest that the answer is c
Step-by-step explanation:
Doreen Schmidt is a chemist
Answer:
that isnt a question but good to know! :)
Step-by-step explanation:
Nellie's office had already recycled 1 kilogram this year before starting the new recycling
plan, and the new plan will have the office recycling 1 kilogram of paper each week. How
many weeks will it take Nellie's office to recycle a total of 50 kilograms of paper?
weeks
Submit
+
Answer:
50/1= 50 weeks
Step-by-step explanation:
Please help! I'll report you if you steal points :(
Small baskets of tomatoes are sold at a vegetable stand for $3 per basket. Large baskets
of tomatoes are sold at the stand for $5 per basket. Only whole numbers of baskets may be
purchased.
Another customer claims that he can purchase a total of 10 baskets of tomatoes
and pay $45.
B. Use a system of equations that describes this other customer's purchase to
explain why the claim is incorrect.
hello lol srry I don't know what to do
The customer's claim is incorrect because the value of the number of baskets are in decimal.
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
Let the number of small baskets be x
and the number of large baskets be y
Price of small basket = $3 per basket
Price of large basket = $5 per basket
Number of baskets purchased by customer = $45
The system of equations for the above statements are
[tex]x+y=10[/tex] ------ (1)
[tex]3x+5y=45[/tex] ------ (2)
From 1, [tex]x=10-y[/tex]
Now, substitute x in equation 2,
⇒ [tex]3(10-y)+5y=45[/tex]
⇒ [tex]30-3y+5y=45[/tex]
⇒ [tex]2y=45-30[/tex]
⇒ [tex]2y=15[/tex]
⇒ [tex]y=\frac{15}{2}[/tex]
⇒ [tex]y=7.5[/tex]
Substitute the value of y in equation 1, we get
⇒ [tex]x=10-7.5[/tex]
⇒ [tex]x=2.5[/tex]
Only whole numbers of baskets may be purchased. But the value of x and y are in decimals.
Hence we can conclude that the customer's claim is incorrect because the value of the number of baskets are in decimal.
Learn more about the system of equations here
https://brainly.com/question/12760602
#SPJ2
How is this solved?
r2 + 2r = 80
Answer:
8,-10
Step-by-step explanation:
r²+2r=80
r²+2r-80=0
r²+(10-8)r-80=0
r²+10r-8r-80=0
r(r+10)-8(r+10)=0
(r-8)(r+10)=0
either, or,
r-8=0 r+10=0
r=8 r=-10
Quadrilateral ABCD is a rectangle. BE = 2x +1 and
AC = 6x – 12
What is BE?
Enter your answer in the box.
BE =
Answer:
15
Step-by-step explanation:
In the cone below, the height of the cone is 17 cm and the radius is 8 cm.
Determine the slant height, h, of the cone. Round your answer to the nearest
tenths of a centimeter.
17 cm
8 cm
Answer: 18.8cm
Step-by-step explanation:
Your gonna use the equation (a^2)+(b^2)=(c^2), then you want to square root the number you get.
So (17*17)+(8*8)= 353
So then square root of 353 is 18.8
Great White shark sightings are on the rise. In 2002, there were 140 but that number has increased by 150%. What is the new number of Great White shark sightings?
Answer:
350
Step-by-step explanation:
Step 1: 100% of 140=280
Step 2: 50% of 140=70
Step3: So New number of Great White shark sightings=350
Help me pls pls pls
Answer:
F
Step-by-step explanation:
Dependent is the y-axis and independent is the x-axis. So your answer is F.
Hope this helps, thank you !!
I need help with this geometry question
Answer:
24
Step-by-step explanation:
Please this is due in 1 hr and8 minutes...
Please don’t answer this with one answer, blank or ridiculous answer this is serious....
Answer:
Side XY is 6 units
Step-by-step explanation:
The order of ∆ QRS will be the same as the order of ∆ XYZ and the corresponding order between the 2 are congruent.
Angle Q is congruent to angle X because they are listed first. Angle R is congruent to angle Y because they are listed second. Angle S is congruent to angle Z because they are listed third.
We can see that side QR is 6 units. The corresponding side on triangle XYZ is side XY.
which inequality is the solution to 20+2
Answer:
is there supposed to be answer choices?
Step-by-step explanation:
Answer:
2.11
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number to the power of equals .
Prime number to the power of equals .
Find f”(x)=(3x^4+2)^5
Answer:
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
Step-by-step explanation:
we need to break this up using the chain rule
(3x⁴+2)=u
so we have
So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)
which is 12x³
we now need to take the derivative of u⁵=5u⁴
Mulitply these together
60x³u⁴=60x³(3x⁴+2)⁴
do the same thing again
60x³u⁴
we now need to do the mulitplication rleu
(60x³)'(u⁴)+(60x³)(u⁴)'
=
180x²u⁴+60x³*4u³
simplify
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
while you could do more to simplify it, it would get really messy
Find the equation of a line parallel to −5x+y=2 that contains the point (5,−2). Write the equation in slope-intercept form.
Answer:
L2: y-0 = 5/2(x-5)
y = 5/2x-25/2
Step-by-step explanation:
Parallel lines have same slopes.
Line 1, L1: 5x-2y=20 is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.
5x-2y = 20
-2y = -5x+20
y = (-5/-2)x+20/(-2)
y = (5/2)x-10 hence m1=5/2 and y-intercept is -10
Line 2 , L2: y-y1 = m (x-x1), m=m2=m1=5/2
Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2
L2: y-0 = 5/2(x-5)
y = 5/2x-25/2
3 1 5 as an improper fraction.
Answer: I think you 3 1/5 as an improper fraction so the answer is 16/5
Step-by-step explanation:
Answer:
Answer vary :
16/5
Step-by-step explanation:
Choose the correct simplification of 6x^3(5x^2+4x-7).
A) 30x^5+24x^4-42x^3
B) 30x^5-18^3
C) 11x^5+10x^4-x^3
D) 11x^5+9x^3
Answer:
[tex]6x^3(5x^2+4x-7) = 30x^5+24x^4-42x^3[/tex]
Step-by-step explanation:
Given
[tex]6x^3(5x^2+4x-7).[/tex]
Required
Simplify
[tex]6x^3(5x^2+4x-7).[/tex]
Open bracket
[tex]6x^3(5x^2+4x-7) = 6x^3*5x^2+6x^3*4x-6x^3*7[/tex]
Multiply the factors: [tex]ax^b * cx^d = (a*c)x^{b+d}[/tex]
[tex]6x^3(5x^2+4x-7) = 30x^5+24x^4-42x^3[/tex]
Awnser and I will mark brainliest
Answer:
oh
Step-by-step explanation:
how to find area of a triangle
Answer:
Base × Height ÷ 2
Answer:
Hope this helps! :)
what is 40 take away 80 to take away 42 take away 1 million
Answer:
40-80-42-1,000,000= -1,000,082
Step-by-step explanation:
bc calculator