Answers
A) the initial population is 30, which is given in the equation.
B) replace t with the number of years and solve:
5 years = 60
10 years = 120
15 years = 241
C) the population is doubling every 5 years
Related Questions
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answers
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?
Answers
Answer:
8571 letters per day
Step-by-step explanation:
60,000/1 week is the same as 60,000/7 days so
60,000/7 = 8571.428571
is aproximately 8571 letters per day
Solve for M in the formula S= C+M.
A. M= S+ C
B. M= S - C
C. M= SC
D. M= s/c
Answers
Answer:
im pretty sure its a
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 2x-y=-7. Fully reduce your answer
Answers
Answer:
mother answer would be mparellel=2
Answer:
2
Step-by-step explanation:
Victoria wants to purchase a skateboard. She finds it regularly sells for $139.99 and is on sale for 15% off.
What is the final cost of the skateboard?
Write your answer in steps: (Explain how you solved it)
Answers
Answer:
118.99
Step-by-step explanation: 15% off so you're only gonna pay 85% of 139.99. so 139.99 times 85% is 118.99
help- which of the following functions will produce the graph
Answers
Answer:
B
Step-by-step explanation:
y= -24/x²+8
y-int ( 0,-3
Find the 61st term of -12, -28, -44,
Answers
Answer:
[tex]a_{61}=-972[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
[tex]a_{61}=-12+(61-1)(-16)[/tex]
[tex]a_{61}=-12-60*16=-12-960[/tex]
[tex]\mathbf{a_{61}=-972}[/tex]
A computer store buys a computer system at a cost of 357.60$. The selling price was first at 596$ , but then the store advertised a 40% markdown on the system. Answer parts a and b.
Answers
Answer:
i not know what you need me to help you
Step-by-step explanation:
one and two-thirds divided by 3
Answers
Answer:
5/9
Step-by-step explanation:
what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!
Answers
Answer:
133 1/3 %
Step-by-step explanation:
24/18 = 4/3
4/3 * 100 = 133 1/3 %
Missed that 1/3
Answer:
133.33%Step-by-step explanation:
24 is x% of 18, solving for x:
x = 24/18*100% = 133.33%How do you work this problem? 10x2 +25x
Answers
Answer:
x=-5/2,0
Step-by-step explanation:
It is solved by first factorizing it
10x²+25x=5x(2x+5)=0
Finding the zeros
5x=0x=0/5=0
2x+5=0
x=-5/2
Therefore x is -5/2 or 0
Can someone help me find the value of X please?
Answers
Answer:
x = -4
Step-by-step explanation:
A circle is 360 degrees.
Anyway, first add 85 + 35 + 115 and you will get 235.
Now subtract 235 from 360.
360 - 235 = 125 degrees
Now to find x, do
-32x - 3 = 125
-32x = 128
-32x/-32 = 128/-32
x = -4
Hope it helped! My answer is expert verified.
please help asap i dont understand at all
Answers
Answer:
Reflect shape A over the y-axis and vertically translate shape A downward 1 unit.
There are 36 students in Mr. Barrett's math class. If 25% of the students are boys, how many students are girls?
Answers
Answer:
27 of the students are girls
Use the Distributive Property to expand the expression -3(6.3x + 1.5y)
Answers
Answer:
(-3*6.3x)+(-3*1.5y)
(-18.9x)+(-4.5y)
Use the figure below to find the length of the midsegment.
68
54
4x + 6
68
54
4x + 44
Answers
Answer:
38
Step-by-step explanation:
4x + 6 = ½(4x + 44) (midsegment theorem)
Multiply both sides by 2
2(4x + 6) = 4x + 44
8x + 12 = 4x + 44
Collect like terms
8x - 4x = -12 + 44
4x = 32
Divide both sides by 4
x = 8
Length of midsegment = 4x + 6
Plug in the value of x
Midsegment = 4(8) + 6
= 32 + 6
= 38
the difference of two numbers is one and their product is 56
Answers
Answer:
8 and 7
Step-by-step explanation: since 8-7 is 1 and product is multiplication, 8 x 7 is 56
I give 20 score! Find the volume
Answers
Answer: 381
Step-by-step explanation:
Lets solve this in two parts, first the bottom one, then the upper one
Bottom one is a rectangle so 3*7*16=336
The one above is a triangular prism or something. You use base times height to find it. The base is 3*5/2=7.5
7.5 times height of 6 is 45.
Now add the 2 together to get 381
In a baseball game, Elena scored twice many pints as Tyler.Tyler scored four points fewer than Noah, and Noah scored three times as many points as Mai. If Mai scores 5 points, how many did Elena scored?
Answers
Answer:
Elena scored 22 points.
Step-by-step explanation:
Mai scored 5 points, and Noah scored three times as many. This means Noah scored 15 points and if Tyler scored four points fewer, he scored 11 points. If Elena scored twice as many as Tyler, she scored 22.
Solve for x. 2x – 16 = -9
Answers
Answer:
x = 7/2
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
2x-16=-9
2x=-9+16
2x=7
x=7/2 or 3.5
what is 2 and 1 3rd times 5
Answers
= 2x3+1/ 3= 7/3
7/3 x 5= 35/3= 11 2/3
Answer:
2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
5x2=10
[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]
10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]
Solve the system of equations. − 3 x + 2 y = 56 − 5 x − 2 y = 24 −3x+2y=56 −5x−2y=24
Answers
Step-by-step explanation:
-3x + 2y = 56
+ (-5x - 2y = 24)
=> -8x = 80, x = -10.
Therefore -3(-10) + 2y = 56, 30 + 2y = 56, y = 13.
Hence x = -10 and y = 13.
Answer:
x = -10 and y = 13.
Step-by-step explanation:
Hope this helped have an amazing day!
Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?
Answers
Answer:
He can buy 7 packs or 5 packs it depends on how each costs seperately.
Step-by-step explanation:
If each pack costs 5 dollars then he can buy 7.
If each pack costs 7 dollars then he can buy 5.
Sam and Larry’s Ice Cream Shoppe sells the following sizes of ice cream cones: single at $0.89, double at $1.19; triple at $1.39. One day, Danielle sold 52 ice cream cones. She sold two more than twice as many doubles as triples. If she sold $58.98 in cones, how many of each size did she sell?
Answers
9514 1404 393
Answer:
17 singles24 doubles11 triplesStep-by-step explanation:
Let s, d, t represent the numbers of singe, double, and triple cones sold. The problem statement tells us three relationships.
s + d + t = 52 . . . . . . Danielle sold 52 cones one day
d -2t = 2 . . . . . . . doubles is 2 more than twice the number of triples
0.89s +1.19d +1.39t = 58.98 . . . . total amount of sales
__
There are many ways to solve this set of equations. A graphing calculator can quickly tell you the solution is ...
(s, d, t) = (17, 24, 11)
__
If you want to solve this by hand, it may work well to use substitution.
The second equation gives an expression for d:
d = 2t +2
The first equation gives an expression for s that can be written in terms of t.
s = 52 -d -t
s = 52 -(2t +2) -t = 50 -3t
Using these in the last equation, we have ...
0.89(50 -3t) +1.19(2t +2) +1.39t = 58.98
1.10t = 12.10 . . . . . . . . collect terms, subtract 46.88
t = 11 . . . . . . . . . . . . . . divide by 1.10
d = 2(11) +2 = 24
s = 50 -3(11) = 17
Danielle sold 17 singles, 24 doubles, and 11 triple cones.
The Fruity Tooty company claims that the population proportion for each of its five flavors is exactly 20%. Jane counts 92 red candies in a 400-count sample.
what is the value of the z-test statistic? Answer choices are rounded to the hundredths place.
Answers
Answer:
86.96%
Step-by-step explanation:
s2 = a2 / n
a2 = 4.34782608696 if just 1/1 flavour 400/400 was the case.
We are asked to account for 5 flavours 4.34782608696/5
Z test was 0.86956521739 for red candies
s2 = a2/n
a2 = 0.86956521739/1
s2 = 0.86956521739/1
s2 = 0.87 hundredth place
Percentage 0.86956521739 x 100 = 86.96% to 100th place
Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr dt depends on r2, not simply r. The volume only appears constant; it is actually a rational relationship. The rate of change of the radius is a linear relationship whose slope is dV dt . The rate of change of the radius is a cubic relationship. dr dt as a function runs parallel to the volume function, which is not linear.
Answers
Answer:
Hello your question has some missing parts below is the missing part
A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute
answer :
dr/dt depends on r^2 not simply rStep-by-step explanation:
The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;
dr/dt depends on r^2 not simply rand this is because dr/dt is proportional to 1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant
Complete the table by using your knowledge of the formula for simple interest.
Answers
Answer:
that look hard
Step-by-step explanation:
Q15) 1.0 marks
Choose the missing term in the below series.
26, 37, 50, 65, 82, ?
Answers
Answer:
82
Step-by-step explanation:
Answer:
101
Step-by-step explanation:
from the first one to second one it goes up by 11 then 13 then 15 then 17 then 19
82+19=101
whats 1 plus 1 I WILL GIVE BRAINLEST
Answers
Answer:2
Step-by-step explanation:
Which of the following is equivalent to 2x(4x3)