Given:
Population is 2005 = 35,700
growth rate = 4% = 0.04
To find:
The population in 2030.
Solution:
The general exponential growth model is
[tex]y=a(1+r)^t[/tex]
where, a is initial value, r is growth rate and t is time in years.
Let the initial year is 2005. So, number of years between 2005 to 2030 is
[tex]2030-2005=25[/tex]
Putting a=35,700, r=0.04 and t=25 in the above model.
[tex]y=35,700(1+0.04)^{25}[/tex]
[tex]y=35,700(1.04)^{25}[/tex]
[tex]y=35,700(2.665836)[/tex]
[tex]y=95170.3452[/tex]
Approximate the value to the nearest whole number.
[tex]y\approx 95,170[/tex]
Therefore, population of the district will be about 95,170.
Amount in 2030 is $95,169
Given that:
Amount invested = $35,700
Growth rate = 4% = 0.04
Time invested = 2030 - 2005
Time invested = 25 year
Find:
Amount in 2030
Computation:
A = P[1+r]ⁿ
Amount in 2030 = 35700[1+0.04]²⁵
Amount in 2030 = 35700[1.04]²⁵
Amount in 2030 = 35700[2.6658]
Amount in 2030 = $95,169
Learn more:
https://brainly.com/question/24132206?referrer=searchResults
Rewrite y= 16X+64 +3 to make it easy to graph using a translation. Describe the graph.
Answer:
C
Step-by-step explanation:
Jason claims he has finished reading 25% of his book. If his book has 200 pages, how many pages has he read?
Answer:
Jason has read 50 pages.
Step-by-step explanation:
25% of 200 = 50
Remember "of" means multiply so you multiply 25% to 200
25% x 200
Convert 25% into a decimal
0.25 x 200 = 50
So Jason has read 50 pages.
What is h(p)=(p3+4p2-2) in distributive property
I don’t know the answer! Please help
Answer:
3x=4x-24, x=24, RST=72
I will be doing more 100 point free questions
This formula is used to calculate the weekly pay of a letting agent. Weekly pay = basic pay + number of houses rented x bonus The basic pay is £400 and a bonus of £75 is paid for each house rented. Mrs Lewis rents out 5 houses in one week. Calculate her pay.
Answer:
£775
Step-by-step explanation:
From the question, it was given that:
Weekly pay = basic pay + number of houses rented x bonus
This expression can be used to determine the amount of money being paid to the agent every week.
When basic pay = £400, bonus = £75, and the number of house rented = 5.
Then,
Weekly pay = 400 + 5(75)
= 400 + 375
= 775
Weekly pay = £775
The amount of money paid to Mrs Lewis every week is £775.
PLEASE HELP DUE IN 6 MINS!!!!!!!!!!!!!!!!!!!!!
Box of nails: $3.80
Box of screws:$5.25
Claw Hammer:$12.95
Electric Drill:$42.50
a.Write two expressions to represent the total cost of 3 boxes of nails, 2 boxes of screws, 2 hammers, and 1 electric drill.
b.What is the total cost of the items purchased?
Answer:
Step-by-step explanation:
a. 3n+2s+2h+1x=42.50
b. 90.3
Factor with the distributive property (no variables)
90+27=
Your answer is 9(10 + 3)
Tell me if you need an explanation
If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.
Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Applying the segment addition theorem, the value of TS is: 76
Given:
TR = 5x - 12
RS = 3x + 8
If T is the midpoint of TS, therefore we would have the following equation:
TR = RS
Plug in the expressions5x - 12 = 3x + 8
Add like terms together5x - 3x = 12 + 8
2x = 20
Divide both sides by 2x = 10
TS = TR + RS (segment addition theorem)
SubstituteTS = 5x - 12 + 3x + 8
Plug in the value of xTS = 5(10) - 12 + 3(10) + 8
TS = 50 - 12 + 30 + 8
TS = 76
Learn more about segment addition theorem on:
https://brainly.com/question/1397818
What is the LCF of 60 and 10 ?
Do you mean LCM
If you just want to know what is the least common multiple of 10 and 60, it is 60
Answer:
the lowest common factor is 5
Step-by-step explanation
5 can go into both 60 and 10, and thats the lowest that can go into both numbers because 5 times 2 is equal to 10 and 5 times 12 is equal to 60. hope this helps :)
3x-4 or = to 7
plz help
Answer:
3 + 4 = 7 which is true.
Step-by-step explanation:
Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.
To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.
You also have to do the same to both sides, kind of like keeping a balance scale in balance.
In this case, we subtract 4 from both sides first:
3x + 4 -4 = 7 - 4
The + 4 - 4 cancel each other out, so you get:
3x = 3
3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:
3x / 3 = 3 /3
so 1x = 1.
Since 1x is "1 times x" it is the same as x by itself, so:
x=1
AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):
3 * 1 + 4 = 7
3 * 1 is 3, so:
3 + 4 = 7 which is true.
1 is the only number that works.
Hope this helped.
What is the solution to the following system of equations?
4x + 2y = 6
x − y = 3
A. (2, 1)
B. (−2, −1)
C. (2, 4)
D. (2, −1)
Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?
Answer:
Step-by-step explanation:
Well....if 1/7 liters of milk makes 1/6 of a jug
Then six times this must be a full jug....so
6*(1/7) =
6/7 liters of milk required
i hope this helps you happy holidays let me know if you need more information
Answer:
6/7
Step-by-step explanation:
−5(3x − 39) = 2(x − 3) − 3
Answer:
x=12
Step-by-step explanation:
Kylie is creating a scale drawing of her bedroom. The actual length of her bodis 75 inches fi inch on her drawing represents 2 feel how long should her bed
be in the drawing?
Answer:
77 feet
Step-by-step explanation:
Hey I need help ASAP!
Identify the function shown in this graph
Answer:
The answer is B.
y=-5x + 3
Step-by-step explanation:
Hope this helps
A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?
Answer:
131.18
Step-by-step explanation:
In a recent survey 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl but another 3/16 admitted they would have preferred to use a straw instead of 39 of the Siamese cats gave one of these two answers how many were surveyed in total make sure your answer is fully reduced
Answer:
48 Siamese cats were surveyed
Step-by-step explanation:
Let x represent the total number of surveyed Siamese cats.
Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:
Number of cats who lapped = (5/8)x
Also, 3/16 admitted they would have preferred to use a straw:
Number of cats who used straw = (3/16)x
Taking into consideration that 39 of the Siamese cats gave one of those two answers:
(5/8)x + (3/16)x = 39
(13 / 16)x = 39
x = 39 * 16 / 13
x = 48
48 Siamese cats were surveyed
I need the answers to these questions ASAP, thank you in advance!
Answer:
1. sliver's gym
2. sliver's gym
3. fitness planet
4. fitness:345 to sliver: 185
Step-by-step explanation:
1. with zero months
fitness planet cost is C = 22(0)+15= 15
sliver's gym cost is C = 15(0)+5= 5
2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships
3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.
4. Fitness planet C = 22(12)+15 = 345
Sliver's gym C = 15(12)+15 = 185
12. Four shovels of sand are used for every 5 shovels of gravel in making concrete.
How much gravel is needed for 64 shovels of sand?
Answer:
80
Step-by-step explanation:
64s : Xg
4s.Xg = 5g.64s
X = (5g*64s)/4sg
= 5*64/4
= 5*16
= 80
What is the difference?
7-3=
A. 3
B. 4.
O c. 5
OD. 10
O E. 11
How do you find the run between two points? Can the rise be negative? Explain
Answer:
Step-by-step explanation:
To find run between two points, you will use the x-values.
For example, (2,3) and (4,5).
Your equation for slope is m=[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
To find the run of these two numbers, you will subtract the second x value from the first x value.
Your answer would be 2 for the run.
It is possible for the rise to be negative if the y value of the point is greater in the first point than the second.
Example:
points (2,8) and (5,1)
1 - 8 would equal -7.
Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?
0.3, Five-tenths, Nine-tenths, Two-tenths, 0.8
Two-tenths, 0.3, Five-tenths, 0.8, Nine-tenths
Five-tenths, Two-tenths, 0.3, 0.8, Nine-tenths
Nine-tenths, 0.8, Five-tenths, 0.3, Two-tenths
Answer:
Step-by-step explanation:
Let's express all the given numbers as decimals:
nine tenths- 0.9
0.3
0.8
five tenths- 0.5
two tenths- 0.2
Ordering them from least to greatest:
two tenths, 0.3, five tenths, 0.8, nine tenths
Answer:
B is your answer
Step-by-step explanation:
Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75
Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99
hope this helps :)
Answer:
the answer is c, 8.50
Step-by-step explanation:
pleasee help!! im confused
Answer:
28k + 68
Step-by-step explanation:
7(8 + 4k) + 12
first, you use the distributive property on the parentheses
56 + 28k + 12
then you add like term, 56 + 12 = 68
68 + 28k
numbers with variables go first
28k + 68
What is the correct answer?!
HELP FAST!
Answer:6.66
Step-by-step explanation:
I’m pretty sure its infinite if not just putt that answer
Answer: 84 r4
Step-by-step explanation:
I think that is correct.
Find the slope of 6x – 3y = 5
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x
what does x + 16 equal when x means 7?
Answer:23
Step-by-step explanation:
At Carly's Pancake House there are 39 dirty coffee mugs and 21 clean coffee mugs. What
percentage of the coffee mugs at the pancake house are dirty?
Answer:
65%
Step-by-step explanation:
What you need to do is add both the clean and the dirty mugs together to get a total amount of mugs (60) and then divide 39 by 60 because you are dividing the mugs that you want to find the percentage of by the total amount of mugs. The equation would look like this:
39/60=0.65
therefore, the answer is 65%
The minute hand of a clock in a clock tower has a length of 36 inches.
If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand?
45 i guessStep-by-step explanation:
bus a leaves every 30 mins
bus b leaves every 20 mins
at 10 am both buses leave the station together
work out the next time they will leave at the same time
Answer:
Step-by-step explanation:
Find the LCM of 30 & 20
30 = 2 * 5 * 3
20 = 2 * 2 * 5
LCM = 2 * 3 * 2 * 5 = 60
60 minutes = 1 hour
So, again at 10am both will leave at the same time
Answer:
11 am.
Step-by-step explanation:
That would be the LCM of 20 and 30 which is 60 minutes.
So the nexrt time will be 10.00 + 60 mins
= 11.00 am.