In 1998, the population of country C was 38 million, and the exponential growth rate was 1% per year
Answers
Answer:
Step-by-step explanation:
Formula for the exponential graph is given by the function,
[tex]P(t) = P_0(1 + r)^t[/tex]
Where [tex]P(t)[/tex] = population after 't' years
[tex]P_0[/tex] = Initial population
r = rate of increase
t = Number of years
In 1988, population of a country C was 30 million.
A). Function for the population will be,
[tex]P(t)=38(1+0.01)^t[/tex]
[tex]=38(1.01)^t[/tex]
B). Population in year 2020,
[tex]P(22)=38(1.01)^{22}[/tex]
= 47.30 million
C). Doubling time means the duration in which [tex]P_0[/tex] becomes [tex]2(P_0)[/tex].
[tex]P(t)=2P_0[/tex]
[tex]2P_0=P_0(1.01)^t[/tex]
[tex](1.01)^t=2[/tex]
By taking log on both the sides of the equation,
t[log(1.01)] = log2
t = [tex]\frac{\text{log}(2)}{\text{log}(1.01)}[/tex]
= [tex]\frac{0.30103}{0.004321}[/tex]
t = 69.66 years
Related Questions
Which number produces an irrational number when added to 0.4?
If correct will award!
Answers
Answer: C. 3π
Step-by-step explanation:
Since pi is irrational, (even multiples of pi) if π is added to any number, the sum is irrational.
The other choices are not irrational numbers.
√9 is 3 0.4444 repeating is the decimal equivalent of 4/9
2/7 is a fraction, and by definition all fractions with integers in the numerator and denominator [except 0] are rational numbers.
Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads. To do this, she needs to find the ____ of the triangle formed by the three roads.
Answer Choices:
Center
Incenter
Circumcenter
Answers
Answer:
c
Step-by-step explanation:
Loretta Adman needs to find the center of the triangle formed by the three roads.
What is Center, Incenter and Circumcenter of the triangle?
Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.
Given: Three towns are linked by three straight roads.
Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.
The center is in the middle of the figure by some measure.
Therefore, Loretta Adman needs to find the center of the triangle formed by the three roads.
To know more about the Center, incenter and circumcenter, click on the link
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types of quadratic equation
Answers
Answer:
1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
The Fisher pool has 240 gallons of water and drains 10 gallons every hour. The Howard pool is 360 gallons and drains 40 gallons every hour. At what time will the two pools be the same number of gallons
Answers
Answer:
en cuanto la suma de respuesta
Step-by-step explanation:
Que vez de gallinas de =650
saloman was told the written paper on his science experiment should express measurements in liters. Which shows how to calculate the number of liters if he used 5 cups of water
Answers
Answer:
Step-by-step explanation:
Divide 5 by 4.22
Just took the test and this is the right answer
Answer: multiply 5 by 4.22
Step-by-step explanation:
Which statement describes -1?
Answers
Answer:
-1 is part of integer numbers
Step-by-step explanation:
Because its a whole number and it has an additive inverse (which is +/-).
I really need help on this!!
Answers
The angles are corresponding, so they must be congruent. You set 4x-8 equal to 124 because they are congruent. You then add 8 on both sides and divide by 4 on both sides. You should get 33 for x.
Which of the following shows 2.736 correctly rounded to the tenths place?
Answers
Answer:
2.7 is the correct answer
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. b=f^2A+2HA
Answers
Answer:
A = [tex]\frac{b}{f^2+2H}[/tex]
Step-by-step explanation:
Given equation is,
b = f²A + 2HA
To solve this equation for the value of A we will isolate A in one side of the equation.
b = A(f² + 2H)
By dividing the equation by (f² + 2H) on both the sides of the equation.
[tex]\frac{b}{f^2+2H}=\frac{A(f^2+2H}{(f^2+2H)}[/tex]
A = [tex]\frac{b}{f^2+2H}[/tex]
Therefore, answer will be A = [tex]\frac{b}{f^2+2H}[/tex]
Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?
Answers
Answer:
$10.36
Step-by-step explanation:
To answer this question, all you have to do is multiply:
4 * 2.59 = 10.36
So, Nate's mom spent $10.36 on crackers.
Hope this helps :)
Answer:
Nate's mom spent $10.36 on crackers.
Step-by-step explanation:
is 5,690 divisible by 10
Answers
Answer yes 569
............................................
PLEASE IN DIRE NEED OF HELP I WILL GIVE BRAINLIEST
The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.
Answers
Answer:
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48
Answer:
6 cm by 18 cm
Step-by-step explanation:
use x and x+12
2(x) + 2(x+12)=48
2x +2x+24=48
4x+24=48
4x=24
x=6 and (6+12)=18
:)
HELP ME PLEASE!!!!!!!!
Answers
Answer:
sure with what
Step-by-step explanation:
Range: [-7, 3]
Domain is all the x-values included from left to right, and range is all the y-values included from bottom to top. If there is a break, then there is a break in the notation, but I don't think you're in that part of the lesson yet
-3(p+2)=-30 solve for p
Answers
Answer:
p=8
Step-by-step explanation:
-3p-6=-30
-3p=-24
p=8
I am thinking of a number x. What algebraic expression represents “eight less than three times this number”?
Answers
Answer:
3x - 8
Step-by-step explanation:
We represent the number as x.
We can write it as x - 8 (eight less than this number)
Then we can add 3x - 8 (We add the three times part)
ny
10 Instructor-created question
10
For the functions f(x)= - 6x +9 and g(x) = 7x + 9 find the following.
09
(a) (fog)x)
Ur (b) (g of)(x)
nalty 25 (a) (fog)(x)=(Simplify your answer.)
tions: 10
(b) (gof)(x)=(Simplify your answer.)
Answers
I’m very sorry but I don’t understand
Step-by-step explanation:
write 9 and 23 as powers of 3
Answers
Answer:
9=3 to the power 2
23 -/
required answer
Nina's garden is 4 1/5 meters long and 3/qo meters wide. What is the area of Nina's garden?
Answers
Answer: 63/50 meters^2 or in mixed number 1 13/50 meters^2
Step-by-step explanation:
area= length x width
length = 4 1/5= 21/5 . multiply the whole number with the denominator 4x5= 20 add 20 with the numerator 20+1=22
width = 3/10
21/5 x 3/10 ( multiply the denominators together)
21x3 / 5x10
= 63/50 meters^2 or in a mixed number 1 13/50 meters^2
(by the way I'm guessing you meant 3/10 and not 3/q0)
y = 3/5х + 2 on a graph
Answers
Answer:
Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this
Step-by-step explanation:
HOPE THAT HELPS YOU
What is this?
5 + 10
Answers
Answer: 15
Step-by-step explanation:
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Latoya borrowed $19,500 to buy a truck for her business. She borrowed from her parents who charge her 5% simple interest. She borrowed from a credit union that charges 4% simple interest, and she borrowed from a bank that charges 3% simple interest. She borrowed four times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was $870. How much did she borrow from each source
Answers
Answer:
p = $12,000
c = $4,500
b = $3,000
Step-by-step explanation:
Denote the variables as follows:
p = amount borrowed from parents
c = amount borrowed from the credit union
b = amount borrowed from the bank
The equations that can be formed using the given information are as follows:
p + c + b = 19500... (i)
p = 4b... (ii)
The formula to compute simple interest is:
SI = P × (R/100) × T
So, the equation for the total interest paid at the end of 1 year is:
0.05p + 0.04c + 0.03b = 870
5p + 4c + 3b = 87000... (iii)
Substitute (ii) in (i) and (iii) and simplify as follows:
4b + c + b = 19500
⇒ c + 5b = 19500... (iv)
5(4b) + 4c + 3b = 87000
⇒ 4c + 23b = 87000... (v)
Subtract (iv) from (v):
4c + 23b = 87000
(-)c + (-)5b = (-)19500 ] × 4
⇒
4c + 23b = 87000
-4c - 20b = -78000
⇒
3b = 9000
b = 3000
Compute the value of p as follows:
p = 4b = 4 × 3000 = 12000
p = 12000
Compute the value of c as follows:
p + c + b = 19500
12000 + c + 3000 = 19500
c + 15000 = 19500
c = 4500
Thus, the amount borrowed from each source is:
p = $12,000
c = $4,500
b = $3,000
Is line e perpendicular to line g?
Answers
Answer:
Yes.
Step-by-step explanation:
Always.
need help ASAP!!!!!!
The first three terms of an arithmetic sequence are as follows.
- 11, - 16, - 21
Find the next term in the sequence.
Answers
Answer:
-26
Step-by-step explanation:
Prime numbers have...
Less than two factors
More than two factors
Exactly two factors
Less than or equal to two factors
Answers
Answer:
(Exactly two factors)
Answer:(C) Exactly two factors
Step-by-step explanation:(C) Exactly two factors
What number is the opposite from 6.8
A. -6.8
B. 8.6
C. 68
D. -8.6
Answers
The answer is A. -6.8
I am a multiple of 6. I am also a multiple of 4. I am less than 30.
Who am I?
Answers
Answer:
12 and 24
Step-by-step explanation:
First, we need to list out the common multiples of 4 nd 6, less than 30
[tex]4 = 0.4,8,12,16,20,24,28[/tex]
[tex]6 = 0.6,12,18,24[/tex]
Then, we list out the common multiples
[tex]Common\ Multiple = 12,24[/tex]
Since, only 12 and 24 fall in this category.
Then the number is either 12 or farm
PLEASE HELP I DONT WANT TO FAIL
The IQ of 10 adults is measured, and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121. Find the range of the data set. (4 points)
A: 83−121
B: 38
C: 96.5
D: 204
Answers
Answer:
B
Step-by-step explanation:
range = biggest - smallest
121 - 83 = 38
range = 38
the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
To find the range of the data set, we need to determine the difference between the highest and lowest values in the set. Given the IQ scores of the 10 adults as 83, 87, 90, 92, 93, 100, 104, 111, 115, and 121, the highest value is 121, and the lowest value is 83.
Thus, the range can be calculated as 121 - 83, which equals 38. Therefore, the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
Learn more about range here
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Evaluate..................
Answers
Answer:
Step-by-step explanation:
What are the solutions to lx + 2) = -13?
A. X=15 and 11
B. X=-15 and 11
C. X=-11 and 15
D. No solution
Answers
Answer:
B
Step-by-step explanation:
Because -15 + 2 = -13
Johnny was able to drive an average of 27 miles per hour faster in his car after the traffic
cleared. He drove 25 miles in traffic before it cleared and then drove another 104 miles. If the
total trip took 3 hours, then what was his average speed in traffic?
Answers
Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
