The population of a town is 12,000, and it grows at a rate of 5% per year. Write an exponential function in the form [tex]y=ab^{x}[/tex] that represents the situation
Answer: Exponential function: [tex]y=12000(1.05)^x[/tex]
Step-by-step explanation:
Exponential function: [tex]y=ab^x[/tex] , a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
[tex]y=12000(1.05)^x[/tex]
Hence, The required exponential function: [tex]y=12000(1.05)^x[/tex], where x= time.
Nike shoes are 45% off $80.
What will be the savings
on
the
tennis shoes ?
Answer:
You pay $44 / You're saving $36
Step-by-step explanation:
100 - 45 = 55
$80 x 0.55 = $44
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and negative numbers represent the elevation of prey below the chameleon. The chameleon spots a fly at 4 \text{ m}4 m4, start text, space, m, end text and a grasshopper at -6\text{ m}−6 mminus, 6, start text, space, m, end text. What does an elevation of 0 \text{ m}0 m0, start text, space, m, end text represent in this situation?
Answer:
B: The elevation of the chameleon
Step-by-step explanation:
The Fly is above the chameleon, so its elevation should be represented by a "positive number"(Example of positive number: 16)
Also,
The Grasshopper is below the chameleon, so its elevation should be represented by a "negative number"(Example of negative number: -23)
ඞHope this helps u because i got dis question from Khan Academyඞ
Please help I’ll mark you as brainliest if correct
Answer:
Yes the answer is 69.08
What's the two numbers that round to the greatest place value have an estimated sum of 11000 and an estimated difference of 3000,then find the exact sum and the exact difference provide a detailed explanation as to how you reached your answers and why they will work
Answer:
hi
Step-by-step explanation:
hi hi hi hi hi hi hi.........
PLEASE HELP ME,I’ve been trying all morning
If f(x)= x^2 + 2x + 5, what is f(x + 3)?
Answer:
Step-by-step explanation:
f(x) = x² + 2x + 5
f(x+3) = (x+3)² + 2(x+3) + 5
= (x²+6x+9) + (2x+6) + 5
= x² + 8x + 20
Answer:
you sure its not f(x+3) ?
Step-by-step explanation:
lucy’s hair grew 5/12 foot over the past year
Answer:
5 inches
Step-by-step explanation:
5/12 feet is 5 inches because there are 12 inches in a foot.
In order to help me move, I got a credit card with a $1,000 credit limit and spent all $1,000 the first month. The credit card charges compound interest at a rate of 15% a month, BUT, you don’t have to make any payments for one year. How much debt will I have after 1 year of having this card?
Answer
The tax/ your paying a year is 150, so you would owe 1,500 btw, answer my recent question maybe..?
Step-by-step explanation:
A bowl of soup at 95!C (too hot) is placed in a 22!C room. One minute later, the soup has cooled to 83!C. When will the temperature be 49!C (just right)?
Answer:
in 3 minutes and 50 seconds
Step-by-step explanation:
soup = 95c
after 1 minute = 83c
after 2 minutes = 71c
after 3 minutes = 59
soup cools down 0.2c in 1 seconds
so 10 seconds = 2c
in 3 minutes and 50 seconds = 49c
The temperature 49°C of soup bowl will be after 5.54 minutes
Newton law of coolingAccording to Newton's law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundingsThe formula is as follow:[tex](T-T_{s} )=(T_{0} -T_{s} )e^{-kt}[/tex]
What are the steps to solve this problem?Given[tex]T =[/tex] 83°C and 49°C
[tex]T_{s} =[/tex] 22°C
[tex]T_{0} =[/tex] 95°C
We have to find value of t for that first we will find value of k and applying all values in formula we get,(83-22)=(95-22)[tex]e^{-k}[/tex]
∴ k = -ln (61/73)
Now,
(49-22) = [tex]e^{ln(61/73)t}[/tex]
∴ t = [tex]\frac{ln (27/73)}{ln(61/73)}[/tex]
∴ t = 5.54 minutes
So, after 5.54 minutes temperature will be 49°C
Learn more about Newton's Law of Cooling here:
https://brainly.com/question/13748261
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How many 1/3 are in 2 2/3
Answer:
8/3
Step-by-step explanation:
You have to count each third and eventually you would get 8/3.
these two polygons are similar
what would x equal?
Answer:
12
Step-by-step explanation:
Someone please help!
Answer:
3.25
Step-by-step explanation:
it is shrinking by a factor of 4 so every number is 4 times smaller and 13 divided by 4 will give you 3.25
Answer:
3.25
Step-by-step explanation:
As you can see from the one on the left and the other on the right is that the left is larger than the right by the ratio of 4:1
CB = 12, ZY = 3
BA = 5, YX = 1.25
Using this information, to find ZX, we just need to divide CA's length by 4:
13 / 4 = 3.25
A car travels 120 miles on 2 gallons of gas. How far does the car travel on 1 gallon of gas? *
Answer:
60 miles
Step-by-step explanation:
120/2=60 or 60x2=120
Answer:60 miles
Step-by-step explanation:
120/2=60
please answer thank you
Answer:
8.1 for the 2th awnser
Step-by-step explanation:
1.4 + 5.9+2.2=8.1
Answer:
z (3.4 + 4.6 + 2.2)
:)
37 people showed up to the party. There were 9 less men than women present. How many women were there?
Answer:
23
Step-by-step explanation:
tbh, i just guessed around the numbers until i got the right one xD
The number of women present in the party will be 23.
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
Total persons in party = 37
Let,
Number of men = m
Number of women = w
So,
Total number of persons in party ,
m + w = 37 .....(i)
Now,
According to the question,
m = w - 9
Now
Substituting m = w - 9 in equation (i),
i.e.
w - 9 + w = 37
We get,
2w = 37 + 9
2w = 46
We get,
w = 23
So, number of women are 23.
Hence, we can say that the number of women present in the party were 23.
To know more about expression click here
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solve please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
|−9.8|
|11 2/ 3|
|−2 6/ 7|
Answer:
|-9.8| = 9.8
|11 2/3| = 11 2/3 or 11.66
|-2 6/7| = 2 6/7 or 2.86
Step-by-step explanation:
Sam knows that there are 12 inches in 1 foot. He has a string that is 3 1/2 feet long. What is the length of the string , in inches?
Answer:
42 in
Step-by-step explanation:
12 x 3 = 36
1/2 foot = 6 in
36 + 6 = 42
Can somebody help please?
Answer:
Answer is D
Step-by-step explanation:
Answer:uh i think D
Step-by-step explanation:
On Thursday, 14 out of 20 cookies sold at a bakery were Chocolate Chip. What percent of the cookies sold at the bakery were Chocolate chip?
These tiles represent the expression x + 7x + 2.
1
Х
X X X X X X X
1
Which expression is equivalent to x + 7x + 2?
8x + 2
8x + 9
10x
9x + 1
Answer:
the answer is A
Step-by-step explanation:
x + 7x + 2 = 8x + 2
What is 2.419 rounded to the nearest one?
Answer:
2
Step-by-step explanation:
Wanna help a girl out
Answer: 3580.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
$80.5 is the right answer.
We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon
Steps for solving multi-step equations:
Simplify by ____________________ like terms or _______________________
(there should only be one variable after this step)
Undo any _________________ or _________________ 3. Undo any ________________ or __________________
4. _______________ answer.
Answer:
What are two-step equations?
A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true.
Example 1
We're given an equation and asked to solve for
x
xx:
3
x
+
2
=
14
3x+2=143, x, plus, 2, equals, 14
We need to manipulate the equation to get
x
xx by itself.
3
x
+
2
=
14
3
x
+
2
−
2
=
14
−
2
3
x
=
12
3
x
3
=
12
3
x
=
4
3x+2
3x+2−2
3x
3
3x
x
=14
=14−2
=12
=
3
12
=4
The solution:
x
=
4
x=4start color #1fab54, x, equals, 4, end color #1fab54
It's always a good idea to check our solution in the original e
3
x
+
2
=
14
3
⋅
4
+
2
14
12
+
2
14
14
=
14
Yes!
3x+2
3⋅4+2
12+2
14
=14
=
?
14
=
?
14
=14 Yes!
Want to learn more about two-step equations? Check out this video.
Example 2
We're asked to solve this equation for
a
aa:
8
=
a
3
+
6
8=
3
a
+68, equals, start fraction, a, divided by, 3, end fraction, plus, 6
We need to manipulate the equation to get
a
aa by itself.
8
=
a
3
You paid $32.00 for 8 gallons of gasoline. How much would you pay for 10
gallons of gasoline?
Answer:
Divide 28 by 8. the answer is $3.50. That’s the money you pay per gallon. Multiply 3.50 by 15 and the final answer is: 52.50
Step-by-step explanation:
4.012+ S equals 5.313
Answer:
S= 1.301
Step-by-step explanation:
5.313-4.012=S
Enter the area of a square with a diagonal of 18 feet. Round to the nearest whole number. Just the number, no units please. We know it is feet squared. *
Which table represents the statement "Di runs at a rate of 4 meters per second " ?
Answer:
d=4t
Step-by-step explanation:
-9, -6, -1, 6, 15 …
What is the 8th term of the sequence?
In hopes of encouraging healthier snacks at school, Josie brought in a tray of carrot sticks and apple slices to share. The tray had a total of 60 snacks, of which 70% were carrot sticks. How many carrot sticks did Josie bring?
help please and u get a cookie
Answer:
im allergic to cookies
Step-by-step explanation: