Using the inverse function, it is found that the equation is:
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is 20.
---------------------------
We want to find the inverse of:
[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]
To do this, we exchange y and t, and isolate y.
Then:
[tex]10\ln{50y - 1000} = t[/tex]
[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]
[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]
[tex]50y - 1000 = e^{0.1t}[/tex]
[tex]50y = e^{0.1t} + 1000[/tex]
[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]
[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is:
[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]
Rounding, 20.
A similar problem is given at https://brainly.com/question/23950969
Answer:
P = 1/50e^0.1t + 20
Step-by-step explanation:
Write the expression using exponents. g⋅g⋅g⋅g⋅g
help help help help thankyou
Answer:
3.4×10⁴
Step-by-step explanation:
1.6×10⁴=1.6×10000=16000
5×10⁴=5×10000=50000
5000-16000=34000
=3.4×10⁴
Write and solve a proportion to find the perimeter of a square when its side length is 12.
Ty
Its 12 points
Answer:
48
Step-by-step explanation:
setup a ratio using the length and perimeter then reduce it.
[tex] \frac{2}{8} [/tex]
reduces to
[tex] \frac{1}{4} [/tex]
the numerator is length and denominator is perimeter. setup the proportion
[tex] \frac{1}{4} = \frac{12}{p} [/tex]
cross multiply
[tex]1p = 48[/tex]
1 times p = p, so the answer is 48
A truck can be rented from company A for $100 a day plus $0.60 per mile. Company B charges $40 a day plus $0.90 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A less than rental cost of Company B?
Answer: past 200 miles
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
sorry i don't know
Step-by-step explanation:
sorry
Which expression is equivalent to √10/4√8?
Answer:
A
Step-by-step explanation:
A
Which is the best description of the data in the
histogram?
O Students mostly studied about 6 hours.
O Students who studied longer did better on the test.
O Students' study times did not vary by much.
O The majority of students studied between 4 and 8
hours.
Which is the best description of the data in the
histogram?
O Students mostly studied about 6 hours.
O Students who studied longer did better on the test.
O Students' study times did not vary by much.
O The majority of students studied between 4 and 8
hours.
Answer: D
Step-by-step explanation:
EDGE22
What is the answer to this question number 2
Answer:
B
Step-by-step explanation:
number of adults=a
number of children=1
cost of adult tickets=$9 per adult
cost of children's tickets=$6 per child
Total cost=$78
9(a)+6(1)=78
9a+6=78 B
do have a great day ahead...
I bought 3,000,000 shares at .000007. what would my gain be if it reached .01 .
If 1 share had an initial cost of $0.000007, then 3,000,000 shares would be worth
(3,000,000 shares) × ($0.000007/share) = $21
If the price increases to $0.01 per share, then the same number of shares would have a value of
(3,000,000 shares) × ($0.01/share) = $30,000
So you've gained a net profit of $30,000 - $21 = $29,979, which corresponds to a
$29,979 / $21 = 1,427.57 = 142,757%
increase in value.
cuanto es 21:45 dividido a 7:15?
Answer:
Entraría 3 veces.
Step-by-step explanation:
Podemos probar esto encontrando el máximo común divisor entre 21 y 45
21: 1,3,7,21
45: 1,3,5,9.15,45
Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.
Mr. Thompson asked 50 students were about their
favorite ice cream.
1/5 of the students chose Vanilla
1/2 of the students chose Chocolate The remaining chose Strawberry
How many students chose Strawberry as their favorite flavor?
What decimal represents the students who
prefer cookie dough?
Answer:
0.12 chose strawberry as their favorite
Please help me out I am not good at math so I would very appreciate
Y=arccos(1/x)
Please help me do them all! I don’t know derivatives :(
Answer:
sorry bro I even don't know coz I am class 7
Please help
Solve for w
susan and teo play soccer susans team plays every five days and teos team plays every six days when will they play on the same day
Answer: On day 30
Step-by-step explanation:
1. skip count by both 5 and 6 and look for the first number they have in
common 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
6, 12,18, 24, 30, 36, 42, 48, 54, 60
30 is the first number in common
HELP PLEASEEE I WILL GIVE BRAINLIEST
Answer:
140 degrees.
Step-by-step explanation:
180-110 is 70. Bottom triangle is isosceles, meaning that the bottom left corner is also 70 degrees. The top angle in the bottom triangle is 180-70-70, 40. Flip it to the other side and the bottom angle of the top triangle is 40. Again, an isosceles triangle, so that the top left angle of the top triangle is also 40. 180-40 is 140.
Tyler has two maps of Ohio
Answer:
that’s nice good for him
The elevator is a business center has a weight limit of 1800 pounds assume the average person weighs 160 pounds and has 3 pounds of items with them what is the greatest number of people that can ride the elevator at one time
The population of a town has been decreasing By 5% each year for the last two years the current population of the town is 1510 people what was the population two years ago
angela neli are going to the movies
Answer:
thats good what are you waatching?
Step-by-step explanation:
Hope that helps
What are the domain and range of the function
Answer:
2nd option
Step-by-step explanation:
domain: x<5 (-∞ , 5)
range: (-∞ , ∞)
mowed 3 yards for $35.00
Answer:
AYO HE LOOKIN SPIFFY
Step-by-step explanation:
Can anyone help me on this question? Thank you so much! ( ¿Alguien puede ayudarme con esta pregunta? ¡muchas gracias! )
Answer:
3 cups of milk are required for each cup of flour.
Answer:
3 cups of milk
Step-by-step explanation:
1 cup divided by a 1/2 cup is 2.
1 1/2 cups multiplied by 2 is 3 cups.
-4 times what equals 3x ?
Answer:
[tex]\large\boxed{\tt-\frac{3}{4} x}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to identify the missing number for our equation.}[/tex]
[tex]\textsf{First, we should translate our \underline{word form} equation into \underline{numerical form}.}[/tex]
[tex]\tt \underset{-4}-4 \ \underset{\times}{times} \ \underset{?}{what} \ \underset{=}{equals} \ \underset{3x}{3x}?}[/tex]
[tex]\tt -4 \times \ ? = 3x[/tex]
[tex]\large\underline{\textsf{Identifying Ways of Solving;}}[/tex]
[tex]\textsf{We know that the unknown value is multiplied by -4 to equal 3x.}[/tex]
[tex]\textsf{-4 will equal the quotient of 3x and the unknown number.}[/tex]
[tex]\textsf{Hence, the unknown number will equal the quotient of 3x and 4.}[/tex]
[tex]\large\underline{\textsf{Solving For the Unknown Number;}}[/tex]
[tex]\tt \frac{3x}{-4} = Unknown \ Number[/tex]
[tex]\underline{\textsf{Multiply the Numerator and Denominator by the Reciprocal of -4;}}[/tex]
[tex]\textsf{The Reciprocal is a fraction where the numerator and denominator flip.}[/tex]
[tex]\tt Reciprocal \ of \ -4 \ is; -\frac{4}{1} \rightarrow \boxed{-\frac{1}{4}}[/tex]
[tex]\mathtt{ \frac{-\frac{1}{4} \times3x}{-\frac{1}{4} \times -4} \rightarrow \frac{\frac{-3}{4}x }{1} \rightarrow \large\boxed{\tt-\frac{3}{4} x}}[/tex]
The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumference of circle B and circle A (in cm)?
9514 1404 393
Answer:
2πr cm
Step-by-step explanation:
The circumference of a circle of radius r is ...
C = 2πr
For a radius of (r cm), the circumference is ...
A = 2π(r cm) = 2πr cm
For a radius of (2r cm), the circumference is ...
B = 2π(2r cm) = 4πr cm
Then the difference between the circumferences is ...
B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference
As part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of its plant and the offshore waters. How many sample measurements must be taken at each site to estimate the true difference between means to within .2°C with 95% confidence? Assume that the standard deviation in readings is about 1.5°C at each site and the same number of readings will be taken at each site.
Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
A similar problem is given at https://brainly.com/question/17039768
Evaluate.
0.2^3÷0.4⋅60+3.6÷1.2
Enter your answer as a decimal
Answer:
what that's grade? ha
that's first year college
To Baker’s plus their contents have a mass of 180.4 g the total mass of the contents is 56.8 g each Baker has the same mess right and solve an equation to find the mass of one bigger
please help me plsssssss! asappp. I'll mark brainlest and give points
Answer:
Step-by-step explanation:
1)a) Abscissa of O 0
Abscissa of A 4
Abscissa of B -3 {opposite of 3}
Abscissa of C 3 {3 is the only positive integer like A}
Abscissa of D -4.5
Abscissa of E -6
Abscissa of F -1 {Midpoint of AE = (6+4)/2 = 10/2 = 5th number from -6 or 4}
b) OB = 3 units
DA = 8.5 {4.5 +4 = 8.5}
Solve the inequality
X/3+9> 14
[tex]\\ \sf\longmapsto \dfrac{x}{3}+9>14[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{3}>5[/tex]
[tex]\\ \sf\longmapsto x>3(5)[/tex]
[tex]\\ \sf\longmapsto x>15[/tex]
Answer:
the answer is x>15
Step-by-step explanation: