Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
please help, im almost out of time
Answer:18
Step-by-step explanation:
i need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2
this is for 30 points
Answer:
[tex] \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Step-by-step explanation:
[tex]A) \frac{ {11}^{4} }{ {11}^{11} } = {11}^{4 - 11} = {11}^{ - 7} \\ \\ B)\frac{1}{ {11}^{ - 4} } = {11}^{4} \\ \\C) ( {11}^{ - 3} )^{ - 3} = {11}^{ - 3( - 3)} = {11}^{9} \\ \\ D){11}^{5} . {11}^{2} = {11}^{5 + 2} = {11}^{7} \\ \\ \because \: {11}^{ - 7} < {11}^{4} < {11}^{7} < {11}^{9} \\ \\ \therefore \: \frac{ {11}^{4} }{ {11}^{11} } < \frac{1}{ {11}^{ - 4} } < {11}^{5} . {11}^{2} < ( {11}^{ - 3} )^{ - 3} [/tex]
Answer:
A.11^4/11^11
Step-by-step explanation:
A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help
Answer:
$3.38
Step-by-step explanation:
8/1.5=18/x
18*1.5/8
3.375
or 3.38
Hope this helps plz hit the crown :D
Answer:
18=3.38
Step-by-step explanation:
Answer the question below?
the figure is regular quaidlater
the sum of all interior angle is 360
measure of angle = 360/4
= 90
so the exterior angle is 90 ( by linear pair)
Choose the correct answer to 96 divided by 6
1. 15 R6
2. 17
3. 16
4. 15
^
^
^
question
Answer:
correct answer is 16. hope that helps
Meredith earns 17.00 per hours at her job. She works 40 hours Per week and gets paid every two weeks. Meredith pays 1/4 of each paycheck in taxes. If Meredith earns a 10% raise in her hourly pay how much more will she pay in taxes
Answer:
34
Step-by-step explanation:
Amount earned per hour = 17.00
Total hours worked = 40 hours
per week
Total amount earned in two weeks = 2(17.00 × 40)
= 2(680)
= 1,360
Tax = 1/4 of her paycheck
= 1/4 × 1,360
= 1,360/4
= 340
If Meredith earns a 10% raise in her hourly pay
Amount earned per hour = 10% of 17.00 + 17.00
= 0.1 × 17.00 + 17.00
= 1.7 + 17.00
= 18.7
Total hours worked = 40 hours
per week
Total amount earned in two weeks = 2(18.7 × 40)
= 2(748)
= 1,496
Tax = 1/4 of her paycheck
= 1/4 × 1,496
= 1,496/4
= 374
how much more will she pay in taxes
= 374 - 340
= 34
Which of the following is equal to the square root of the cube root of 6 ? (1 point)
Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2
Answer:
b
Step-by-step explanation:
the green shape is a dilation of the black shape.what is the scale factor of the dilation?
Answer: 5
Step-by-step explanation:
Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]
Given: Black triangle ( original) having perpendicular with length 4 units. [2 blocks above and 2 boxes below the x-axis ]
Green triangle ( image) having corresponding side as 20 units [10 blocks above and 10 boxes below the x-axis ].
Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]
Hence, the scale factor of the dilation = 5
What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=
Answer:
Step-by-step explanation:
In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......
1) 52 + 122 = [tex]c^{2}[/tex]
174 = [tex]c^{2}[/tex]
[tex]\sqrt{174} =c[/tex]
13.190905 ≈ c
2) 25 + 144 = [tex]c^{2}[/tex]
169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
3) 169 = [tex]c^{2}[/tex]
[tex]\sqrt{169} = c[/tex]
[tex]13 = c[/tex]
Hope this helps :)
The length of the hypotenuse 13 units.
What is a hypotenuse?A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Given that, A right triangle has side lengths 5 inches and 12 inches.
Using Pythagoras theorem,
h = √5²+12²
h = √25+144
h = √169
h = 13
Hence, the length of the hypotenuse 13 units.
For more references on hypotenuse, click;
https://brainly.com/question/29407794
#SPJ6
Order the set of integers from greatest to least. {6, 17, -20, 15, -19, 26}
Solve (x+1)2 = –5.
Question 16 options:
A)
No real solution
B)
x = ±1.75
C)
x = ±5
D)
x = ±1
Answer:
A) no real solutions
Step-by-step explanation:
No real solution. in order to x+1 by itself you must square root both sides. that would mean square rooting -5 which creates an imaginary number. so there are no real solutions. Also cause even if x was a negative, when you'd square it, you'll always get a positive.
What is the answer to the division problem shown?
9)4590
Answer:510
Step-by-step explanation:Can double check internet
Help?????????? Please
Answer: 2 cups of water to 8 cups of flour
Step-by-step explanation:
Answer:
2 cups of water to 8 cups of flour
Step-by-step explanation:
Which function is negative for the interval [–1, 1]? On a coordinate plane, a curved line with a minimum value of (negative 1, negative 2), crosses the x-axis at (negative 2.5, 0) and (0.5, 0), and the y-axis at (0, negative 1). On a coordinate plane, a curved line with a minimum value of (0, negative 2), crosses the x-axis at (negative 1.5, 0) and (1.5, 0). On a coordinate plane, a curved line with a maximum value of (0, 2) and a minimum value of (1.5, negative 2.75), crosses the x-axis at (negative 0.6, 0) and (0.6, 0). On a coordinate plane, a curved line with a maximum value of (negative 1.25, 4) and a minimum value of (1.5, negative 3.5), crosses the x-axis at (negative 1.75, 0), (0.75, 0), and (1.75, 0), and crosses the y-axis at (0, 2).
Answer:
As the x-values go to zero, the function's values go to positive infinity.
Step-by-step explanation:
also answer B
Answer: b
Step-by-step explanation:
The lunch lady has 3 pounds of lasagna. If she makes 1/6 pound servings using this amount of lasagna, how many servings can she make?
Answer:
She can make 18 servings.
Step-by-step explanation:
We can simply multiply 3 by 6 to get the number of servings.
This is the same as dividing 3 by 1/6 since dividing is the same as multiplying the reciprocal.
A unit rate is a rate in which
Answer:
A unit rate is a rate with 1 in the denominator
Step-by-step explanation:
hii please help mee urgent :)
Answer:
The answer is C.
explanation:
The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.
sorry if its wrong, but pretty sure im right.
I’ll give brainliest
9x^2+3x^3
Answer:
9x² + 3x³ = 3x²(3 + x)
Step-by-step explanation:
9x² + 3x³ = 3x²(3 + x)
Answer:
3x²(3 + x)
Step-by-step explanation:
9x² + 3x³
3x²(3 + x)
I hope this helps
326 ÷ 53 Then, check using multiplacation.
Answer:
the answer is 6,150
Step-by-step explanation:
Sorry if im wrong
Answer:
it is 6.150
Step-by-step explanation:
divide 360 its groups of 53 and you get 6.150
write 11:49 A.M in 24-hour time format. Please PLEASE someone help me!!
Answer:
11:49 A.M
Step-by-step explanation:
It is still 11:49 A.M in 24 hour time. It is the first eleven and won't be different.
Good luck with your studies.
Answer:
11:49
Step-by-step explanation:
it would be the same i think. I have a list of different times for the 24 hour time format
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answer:
what are you asking though
Question 4, I do not understand how they figure It out. Please explain
Answer:
I saw this hope it helps
convert 1/15 into a decimal correct to 2 decimal places
Answer:
[tex]\frac{1}{15} = 0.\overline{66}[/tex]
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:
[tex]\frac{1}{15} = 0.xx[/tex]
2) We multiply the numerator by 10 and find the tenth digit:
[tex]\frac{10}{15} = 0[/tex]
Then,
[tex]\frac{1}{15} = 0.0xx[/tex]
3) We multiply the fraction in 2) by 10 and find the hundredth digit:
[tex]\frac{100}{15} = 6[/tex]
Then,
[tex]\frac{1}{15} = 0.66x[/tex]
And the remainder is:
[tex]r = 100-15\times 6[/tex]
[tex]r = 10[/tex]
4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:
[tex]\frac{100}{15} = 6[/tex]
Then,
[tex]\frac{1}{15} = 0.666[/tex]
This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:
[tex]\frac{1}{15} = 0.\overline{66}[/tex]
Solve the system of equations.
2x-3x=21 and -6x+2y=7
Answer:
(-21, -59.5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x - 3x = 21
-6x + 2y = 7
Step 2: Solve for x
2x - 3x = 21
Combine like terms: -x = 21Isolate x: x = -21Step 3: Solve for y
Define equation: -6x + 2y = 7Substitute in x: -6(-21) + 2y = 7Multiply: 126 + 2y = 7Isolate y term: 2y = -119Isolate y: y = -59.5Hey I could really use some help.
In baseball, it is 90 feet from home to first base. Knowing this, what would the distance from
home plate to third base be? How did you determine your answer?
Answer:
270 feet.
Step-by-step explanation:
90 multiplied by three is 270. And a baseball field is square (obvi.) which means from one base to the next would still be 90.
Hope this helps!
Answer:
well 270 if you run all around. but 90 if going straight from home to third.
Step-by-step explanation:
the lines all around are congruent determined by the dashes in the middle so each line is 90 feet, so multiplied by three, you get 270 if running all around.
2=b-7 solve this question please
Answer: 9=b
Step-by-step explanation:
2=b-7
Add 7 to both sides
2+7=b
9=b
Answer:
b = 9
Step-by-step explanation:
2 = b - 7
add 7 to both sides
9 = b
Can someone answer these pls!! I will be glad to have you answer them !! I need this done by tomorrow!
Answer:
7/8=0.875 7/20=0.35 18/20=0.9 7/8=0.875 68/50=1.36 25/20=1.25 26/25=1.04 11/10=1.1 11/16=0.6875 9/16=0.5625 33/40=0.825 23/40=0.575 14/10=1.4 29/25=1.16 39/40=0.975
Step-by-step explanation:
Identify the solution that has grouped the like terms correctly.
-2+6y+m-2y+8-4m
Answer:
C
Step-by-step explanation:
The terms with the same variable are like terms.
Write a linear function f with the given values.
f(x) =
Answer:
f(x) = -2x + 1
Step-by-step explanation:
At a local restaurant, 40% of the lunch customers order a hamburger, 70% of the lunch customers order French fries, and 30% of lunch customers order both a hamburger and French fries. If a lunch customer is randomly selected from this restaurant, what is the probability that the customer order fries if we know they ordered a hamburger?
0.40
0.40
0.43
0.75
0.30
Answer:
hola anyone got tacos
Step-by-step explanation:
The probability that a customer orders fries given that the customer orders hamburger is 0.75
To solve this, we make use of the following representations
A represents the event that a lunch customer orders a hamburgerB represents the event that a lunch customer orders a French friesSo, we have:
[tex]P(A) = 40\%[/tex]
[tex]P(B) = 70\%[/tex]
[tex]P(A\ n\ B) = 30\%[/tex]
The probability that a customer orders fries given that the customer orders hamburger is calculated as:
[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]
So, we have:
[tex]P(B | A) =\frac{30\%}{40\%}[/tex]
[tex]P(B | A) =0.75[/tex]
Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75
Read more about probabilities at:
https://brainly.com/question/15246027