if the population of a city is 158,000 and is
decreasing by 8% every year, what will the
population be in 5 years?
Answer:
~ 104 135
Step-by-step explanation:
Decreasing by 8% each year means 92% is left each year
Formula
FV = PV ( i)^n FV = population in future PV = pop now
i = 92% in decimal form = .92 n = years = 5
FV = 158000(.92)^5 = 104135
A percentage is a way to describe a part of a whole. The population of the city after 5 years will be 104135.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the population of a city is 158,000 and is decreasing by 8% every year. Therefore, the population of the city after 5 years will be,
Population after 5 years = 158,000(1-0.08)⁵
= 158,000 × 0.659
= 104134.8807 ≈ 104135
Hence, the population of the city after 5 years will be 104135.
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This is due tonight please help!
A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=50e. 85t, where t is in years.
a) What will be the population in 2015? Show your work
Answer:
The population is expected to grow by the function p(t)=50e.85t, where t is in years.a) What will be the population in 2015?
Step-by-step explanation:
WILL GIVE BRAINLIEST:
each graph shows a relation the first and second numbers of each ordered pair in the relation are members of the set of real numbers in each case find the domain and the range of the relation and determine whether the relation is a function
Answer:
see the explanation
Step-by-step explanation:
the half-circle is a function because there is only one x value for each y value
the full circle is a relation becaue he circle intersects the y-axis at 1 and -1
Answer:
For the second one:
Domain: -2≤x≤2
Range: -2≤y≤2
The relation is not a function
Step-by-step explanation:
which of the following statements are true
Answer:
B, D, E
Step-by-step explanation:
Got it right on edge 2022
Can yall help me with this
Answer:
2 the elevators height after one second
Frank works at a convenience store. He earns 7.50 per hour when he works during the day. He earns 12.50 per hour when he works at night. He wants to San at least 300 per week. Which graph best represents this situation?
Answer:
7.50x + 12.50y = 300
Step-by-step explanation:
Can you see a hypercube?
Answer:
you would use your eyes
Step-by-step explanation:
There is no other way to see a hypercube. this question does not even make sense, lol.
. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus interest. Altogether, how much money did Mrs. Rojas withdraw? What fraction of a year's interest was earned? 760
well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160[/tex]
well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.
what if she had left her money for 1 whole year, then
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240[/tex]
so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?
[tex]\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}[/tex]
20/23 as a decimal rounded to the nearest tenth
Answer:
0.9
Step-by-step explanation:
20/23 = 0.869565217, which rounded to the nearest tenth is 0.9
Determine the interval(s) on which the given function is decreasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
(–∞, –1) ∪ (1, ∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)
Answer:
(d) (0, 1)
Step-by-step explanation:
The function is "decreasing" where it is "going down."
Your problem statement describes the decreasing interval as being between the relative maximum at (0, 5) and the relative minimum at (1, 4).
The interval of decrease is (0, 1).
What’s the answer to this problem?
Answer:
Step-by-step explanation:
LA (Lateral area) = P (perimeter of the base) x h (distance between bases)
LA = 3 x 2
LA = 6
SA (surface area) = LA (Lateral area) + (2 x B (Area of the base))
SA = 6 + (2 x 0.25)
SA = 6.5m²
Answer:
7
Step-by-step explanation:
if you imagine the shape in your head, there would be 3 rectangles and 2 triangles.
so if you want the surface area of the entire shape, you have to add the areas of each of these sides
the area of 1 triangle is (1*1)/2 = 0.5
the area of 1 rectangle is more complicated:
you would have to work out the rectangles height, which is the hypotenuse of the triangle. so you use Pythagoras, and you get 1 (if you don't know how to do this search up Pythagoras theorem)
so now you can get the area of the rectangle: 1*2 = 2
3 rectangles : 2*3 = 6
2 triangles : 0.5 * 2 = 1
6+1 = 7
tbh I'm not sure if you need to do all of this since it does say "estimate" but I'm not sure how you would estimate it.
Ramon and Hector ride their bikes at constant rate during race Raven rides 45 miles and 3 hours the distance Y in miles hector rides in x hours is given by the equation y=18x
Answer choices:
Ramon rides his bike 3 miles per hour faster than Hector it rides his bike
Ramon rides his bike 27 miles per hour faster than Hector rides his bike
ramon rides his bike 3 miles per hour slower than Hector rides his bike
Ramon rides his bike 27 miles per hour slower than Hector rides his bike
The third option is right. Raman rode 3miles/hr slower than Hector
Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr
Raman: 45=15×3 (45miles in 3hrs)
Hector: y=18× (54miles In 3hrs)
Distance = speed ×time
What value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?
3
-9
0
-1
Answer:
n = -9
Step-by-step explanation:
4(0.5n − 3) = n − 0.25(12 − 8n)
2n - 12 = n - 3 + 2n
2n - 12 = 3n - 3
2n - 3n = - 3 +12
-1n = 9
n = -9
the number 94 is decreased to 86. what is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
8.5%
Step-by-step explanation:
8.5% of 94 is 7.99 which is closest we can get round to the nearest tenth of a percent.
The graph of a linear function is shown on the grid.
Which function is best represented by this graph?
Answer:
its the fourth one g(x)=-⅔x+4
Step-by-step explanation:
the incline of the graph is down , and the point the graph meets y axis is +4
Answer:nits c
Step-by-step explanation:
HELP ME PLEASE! I HAD BEEN ON DIS QUESTION FOR TOO LONG!
Which comparison is correct?
7 < |7|
-5 < -4
|5| > 7
|-5| < -4
Answer:
-5 < -4
|X| - this is read as magnitude of X and it means take the positive of that number X.
meaning if the number X is negative you can ignore the negative and write the positive value of the number.
so now:
|7| = 7
|5| = 5
|-5| = 5
7 = |7| not 7 < |7|
-5 < -4 is correct since on the number line numbers to the left are lesser than numbers on the right and -5 is on the left of -4 on the number line
|5| < 7 since |5| is just 5 and 5 is less than 7
|-5| > -4 not -5 < -4 since |-5| is 5 and 5 is greater than -4
hence correct answer is the second one
helppppp pleaseeeeeee.
The area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
A=a\times b
Here, (a)is the length of rectangle and (b) is the width of the rectangle
The given figure is in two parts. It is made with 2 semicircles and 1 rectangle. The length of the rectangle part is 8 ft and width of it is 4 ft long. Thus, the area of this part is,
[tex]A_r=8\times4\\A_r=32\rm\; ft^2[/tex]
There are two semicircles, which make one complete circle. Thus, the area of this two semicircle with radius 2 ft, is,
[tex]A_c=\pi \times2^2\\A_c=12.57\rm\; ft^2[/tex]
Thus, the area of this composite figure is,
[tex]A=A_r+A_c\\A=32+12.57\\A=44.57\rm\; ft^2\\A=44.6\rm\;ft^2[/tex]
Thus, the area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².
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What is the measure of the missing angle?
Answer:
for find
97 + 47
144
so --
triangle property
180 - 144
36
missing angle is 36
Answer:
36°
Step by step explanation:
✿Determine the measure of angle x
Step 1:
Add together the known angles
97° + 47° = 144°Step 2:
Subtract the sum from 180°
180° - 144° = 36°"so the final answer would be the missing angle"
Sam ran 2
5
4
miles last weekend. This weekend he ran 3
5
1
miles. How many miles did he run in all?
elisha has 5.67 bags of coffee. a full bag weighs 4.2 pounds how many pounds of coffee does elisha have?
Answer:
23.814
Multiply the amount of bags by the amount of pounds in each bag.
[tex]5.67 * 4.2 = 23.814~pounds[/tex]
Write an equation of the line with a slope of 0 and y -intercept of 5 .
y =
Answer:
y = 5
Step-by-step explanation:
y = mx + c
y = 0x + 5
y = 5
This gives a flat line where y is always 5
Emma is an artist and has created 7 paintings. She plans to paint 3 additional paintings each week. What statements are true of this scenario? Check all that apply.
Answer:
The dependent variable is the total number of paintings; The total number of paintings depends on the number of weeks that have passed; and This scenario is a function because for each week that passes, there will be exactly one total number of paintings.
Step-by-step explanation:
Use the answer to "check all that apply"
Figure ABCDE is similar to figure LMNOP.
10 in
M
9 in
L
7. 5 in
B
D
pin
N
12 in
A
8 in
E
What is the value of p in inches?
A. 6 in
B. 10. 6 in
C. 10. 8 in
D. 7. 5 in
Explain how you can know whether a system of linear equations will have no solution.
A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel.
Help me asap!!!
Stem leaf
1
2, 4, 8
2
3,3,5
3
Mean=
2, 5
Median =
Mode =
Range =
-
-
A triangle has angles measuring 35º and 65º. What is the measure of the triangle's third
Answer:
Mean=30
Median=30.5
Mode=None
Range=11
Step-by-step explanation:
The mean is all the numbers added together then divided by how many numberes there are.
24+28+33+35=120
120/4=30
Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33
28+33=61
61/2=30.5
Mode is the number most seen in the data set. Theyre all seen once so no mode
Range is the highest value subtracted from the lowest.
24-35=11
What is the rate of change in the function below? y=2x+7
Answer:
2
Step-by-step explanation:
m is the slope
y=mx+b
y is equation
m is slope (movement)
b is base
18 YEARS AGO MIKE STARTED HIS
SAVINGS ACCOUNT WITH $4,500.00 From
THE SALE OF HIS CAR TODAY, MIKE'S
ACCOUNT HAS*23,400.00
WHAT IS THE INTEREST RATE ON THIS
ACCOUNT?
Answer:
23.3%
Step-by-step explanation:
Formula: I=PRT (Interest=Principal*Rate*Time)
I=23400-4500=18900
18900=4500*R*18
18900=81000R
R=18900/81000=0.233... Rounds to 23.3%
Find the cost of 20cm at 75 per m
Answer:
20cm = 0.2 m
The cost
= 0.2 x 75
= $15
Find the value of x. B 5x10 580 3x-10 11x+2 E L/X+5 1100 25 X+15
pls help :((
Answer:
i) x=11⁰
ii) x=21⁰
iii) x=25⁰
Step-by-step explanation:
You can find the complete solution in the given attachment
I hope it helped you