Answer:
Step-by-step explanation:
This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is
where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then
a = 5000
If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So
b = 1.035
Our function is
where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.
and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.
Begin by dividing both sides by 5000 to get
and take the natural log of both sides:
The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:
To solve for x, we now divide both sides by ln(1.035):
Do that division on your calculator and get that
x = 11.0 years.
That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)
QUICK I NEED THIS ANSWER QUICKLY
What principle will amount to $6000 if invested at 5.5% compounded monthly for 10 years?
Answer:In 10 years, you will have $10,386.46
Step-by-step explanation:
a recipe calls for 3/4 of a cup of flour to make 5/8 of a pond of bread dough . how many cups of flour are needed to make 1 pound of douugh
Make t the subject of the formula p = 4t+1/2-t
Answer:
t = (p - 1/2)/3
Step-by-step explanation:
p = 4t + 1/2 - t
combine like terms:
p = 3t + 1/2
subtract 1/2 from each side of the equation:
3t = p - 1/2
divide both sides by 3:
t = (p - 1/2)/3
A box contains 2 3/4
pounds of apples. Sage uses 1/5
of the box of apples.
How many pounds of apples does Sage use?
Answer:
.55 or 11/20
Step-by-step explanation:
multiply 2 3/4 by 1/5 to get the pounds of apples Sage uses.
Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.
What is a mixed expression?A fraction with a mixed expression, also known as a complex fraction, has a fraction in either the numerator, the denominator, or both.
The box contains 2³/₄ pounds of apples, which can be written as a mixed number or an improper fraction:
2³/₄ = (2 × 4 + 3)/4 = 11/4
To find out how many pounds of apples Sage uses, we need to multiply the amount in the box by the fraction that represents the proportion of the box that Sage uses, which is 1/5:
(1/5) × (11/4) = (1 × 11)/(5 × 4) = 11/20
Therefore, Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.
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The graph of the function y=f(x)+35 can be obtained from the graph of y=f(x) by one of the following actions:
Help! for brainiest and thanks! + 5 stars VOLUME
please respond with the solution and reasoning if possible!
Answer:
the volume of the rectangular prism is 448.5 in^3
Step-by-step explanation:
The computation of the volume of the rectangular prism is shown below:
As we know that
The volume of the rectangular prism is
= 7.8 × 11.5 × 5
= 448.5 in^3
It is basically multiplied with the height, width and the length
Hence, the volume of the rectangular prism is 448.5 in^3
Ten years ago, the average amount of time a family spent eating supper together was 27.8 minutes. A sociologist believes this average has decreased. She randomly selects a sample of 12 families and finds the sample average to be 24.307 minutes. The sample data look about bell-shaped. She calculated a test statistic of t
Write the expanded form in the condensed form.
9z+9z
Answer:
nine z plus nine z.
lol tell me.if.its wrong
Use the information in the table to choose the correct equation.
Answer:
y = 10x + 3
Step-by-step explanation:
Find the mean of the
data set:
14, 19, 13, 22,7
Answer:
Add up all the numbers and divide it by how many numbers there are.
14+19+13+22+7=75
75÷5 =15
Caroline is making cookies for a large fundraiser taking place in two days. Her recipe says it
makes 24 cookies, but she needs to make 60 cookies. The recipe consists of the following
ingredients: 1 cup flour; 2/3 cup powdered sugar; 1/2 cup cornstarch; and 3/4 cup butter. How
should she go about increasing the recipe to make 60 cookies? What is the measurements
needed to make 60 cookies?
Step-by-step explanation:
you need to double the recipe and add 1/2, because doubling gets you 48 and adding 1/2 gets you to 60 cookies.
rather than the given recipe, multiply the numbers by 2.5 (double and a half): 2.5c flour
1 2/3 c powdered sugar
1 1/2 c cornstarch
1 7/8 c butter
hope this helps!
Is 12+5(2+y) and 5y+22 equivalent
Answer:
22 + 5y
Step-by-step explanation:
Yes they are
5 x 2 = 10 + 5 x y = 5y, 10 + 12 = 22, therefore you get 22 + 5y.
Information collected from runner 3# is in the table below
The constant proportionality for runner 3 is..?
Answer:
the constant of proportionality would be 9
Write the absolute value equation if it has the following solutions. x = 2.5 and x = -3.5
Answer:
where's the equation? your question is missing some parts.
Step-by-step explanation:
jane saved $20 from her $60 allowance. june saved $15 from her $50 allowance. who saved a greater proportion of her allowance
Answer:
Jane
Step-by-step explanation:
Jane saved 33.333%
While
june saved 30%
For every 9 pages I read I took 1.5 pages of notes, if I read 28 pages, how many pages of notes will I have taken?
Answer:
168 pages of notes
Step-by-step explanation:
9 divided by 1.5= 6
so 28x6= 168
Mr. Tough can grade the final exams in 12 hours. His assistant, Ms. Nice, can grade the same exams in 15 hours. What fraction of the exams can Mr. Tough grade in 1 hour, without any help? This is impossible. Please help me. I spent sooo loong on this and got it wrong. I don't have many points. Sorry about the 20 points. IT IS VERY URGENT!!!!!!!!!!!!!!!!!
Answer:
1/12
Step-by-step explanation:
if Mr.Tough can grade 1 in 12 hours he can do 1/12
The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20
What are fractions?A fraction is used to denote a portion or component of a whole. Numerator and denominator are the two components that make up a fraction. There are three types of fractions: proper, incorrect, and mixed.
Using, rate × time = work done
So, Mr Tough's rate:
Mr Tough's rate × 12 hours = final exam
Mr Tough's rate = 1/12
and, Mrs. Nice's' rate:
Mrs .Nice's' rate × 15 hours = final exam
Mrs .Nice's' rate = 1/15
So, Total time:
T(1/12 hours + 1/15 hours) = final exam
T = final exam / (1/12 + 1/15)
T = final exam / (0.15)
Now, 1 hour = final exam / (0.15)
final exam = 1 × 0.15
= 0.15
= 15/ 100
= 3/20
Therefore, 3/20 fraction of the final exam.
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One year, the population of a city was 330,000. Several years later
it was 270,600. Find the percent decrease.
Answer:
18% Decrease.
Step-by-step explanation:
You can use this formula for % decrease questions. :)
Decrease= Starting value (original) - Final Value (the smaller number) / starting value x 100.
Hope this helps,
Azumayay
Help fast please.....
Answer:
nos etu mdei
Step-by-step explanation:
Answer:
33in squared, so B
Step-by-step explanation:
the area of a triangle is (Base x height)/2
The area of a square is just length x width
Now solve
since each triangle is the same and there a 4 triangles do
4(3x4) which is 4(12)
4 x 12= 48
48/2= 24
3 x 3 for the square
24+9=33
Hope this helps!
2 × 3² - 5² = ???????????????????????????????????????????????????????????????????????????????
Answer:
I think its -7
Step-by-step explanation:
djjdjejjd
Answer:
-7 is your answer
Step-by-step explanation:
2 × 3² - 5²=18-25=-7
Here's a challenge.... solve for this
I'm very bad in geometry. Sorry mom I failed geometry .
what is 5m-4-m+2 simplify
Step-by-step explanation:
5m-4-m+2
Simplifying
4m - 2
Hope it helps :)❤
Two functions are shown below.
f(x) = 2x
g(x) = x2 + 3x - 3
For what values of x is f(x) > g(x)?
Answer:
q
hey g(x) = x2 + 3x - 3
Step-by-step explanation:
es la respuesta
hello i hope you are having a nice day can somebody help me with this question thanks
Answer:
12.25 un
Step-by-step explanation:
-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height
to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.
then take your formula and multiply:
0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.
then do the area of the center square which is:
2.5×2.5=6 for the center
then add:
A=6.25+6=12.25
Write an expression that is equivalent to -0.5(14a-22)
-0.5(14a-22) = _?_a+_?_
Answer:
- 7a + 11Step-by-step explanation:
-0.5(14a - 22) = -0.5(14a) + (-0.5)(-22) = - 7a + 11The blanks are -7 and 11
Answer:
-7 and 11
Step-by-step explanation:
2. For what value of p would the statement 5p = 30 be true?
Op=7
O p = 5
O p = 4
Op=6
is the following statement true false or open: 60 - g = 25
true
false
open
none of the above
which of the following an an open statement
2x + 5x = 7x
14 ÷ 2 = 7
3 + 10 = 13
3x = 12
PLEASE REAL ANSWERS I RLLY NEED HELP!!!!
Answer:
1. p=6
2. open
3. 3x = 12
Help me please (NO LINKS )
Answer:
Hey! Finally found a question of yours!
Step-by-step explanation:
1. A=9
2. A=12
3. A=21
4. A=15
5. A=7
6. A=5
7. A=20.8
8. A=48
9. A=0.25
50 points question to answer
Answer:
Hope it helps
Step-by-step explanation:
3/4(7/7)=21/28
1/2(8/8)=8/16
4/9(2/2)=8/18
2/5(9/9)=18/45
6/3(6/6)=36/18
3/2(7/7)=21/14
PLS RATE AS BRAINLIEST
Can someone help me? I’ll reward points + brainalist
Answer: Question 10 is c
Question 11 is c
Step-by-step explanation: Area of a circle is πr^2 so we know what the radius r is, it is 9.5 so we plug it in π(9.5)^2
Question 11 To get the radius from the diameter we need to know the half of the diameter which is 21=r
So we plug in 2πr is the equation for the circumference 2π(21) which then would be c