1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentinak56 [21]
3 years ago
9

How do you calculate the explicit solution to dP/dt=kP-h?

Mathematics
1 answer:
dusya [7]3 years ago
3 0
Since the k and h are constants therefore this differential equation is a variable separable D.E. In order to solve this D.E. we need to group together terms with the same variable, that is, 

dP/(kP-h) =dt

perform integral on both sides of the equation, we obtain 


(1/k)* ln (kP - h) = t + C

Since we are not given limits to the equation, it is best to put C or the constant term in any side of the equation.
You might be interested in
9 Josie parents opened a college
mixer [17]

Answer:

$1,281.00

Step-by-step explanation:

We start by calculating the value $50 added each month after the first month

= $50 × 11

= $550

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

P = Principal = 500 + 550

= $1050

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Solving our equation:

A = 1050(1 + (0.055 × 4)) = 1281

A = $1,281.00

Therefore, there would be $1,281.00 after 4 years.

6 0
3 years ago
Simplify. 1+32⋅2−5 A −48 B14 C15 D27
saul85 [17]

Answer:

14

Step-by-step explanation:

im different

8 0
3 years ago
Express 5/7 as a decimal. (Round to the nearest thousandths place)
Georgia [21]

Answer:

rounding to the thousandths place, the answer is 0.714

Step-by-step explanation:

This can easily be looked up on google

5 0
3 years ago
Read 2 more answers
The discount price of a pair of shoes is $22. what is the original price
Goshia [24]
The original price is $88.
how I got the answer:
$22 • 100= 2,200
2,000/25= $88

regular shoes cost w/75% off is $66.00
how I got my answer:
$88 • 75% = 6,600
6,600/100 = $66.00
7 0
2 years ago
Read 2 more answers
The equation y = 35.25x + 40 gives the labor cost y of repairing a car if it takes x hours to repair the car. Which statement is
Ad libitum [116K]
Repari cost (x) = y = 35.25 x + 40

x = number of hours to repair the car.

Every hour the cost will increase 35.25, becasue 40 is a fixed cost.

if x = 1, repair cost(1)  = 35.25 + 40

if x = 2, repair cost (2) = 35.25*2 + 40

if you subtract repair cost (1) from repair cost (2) you get 35.25*2 - 35.25 = 35.25

The same thing every time the repair time increases one hour. 

Answer: the last option of the list, for every hour of labor, the cost increases by $35.25
5 0
3 years ago
Other questions:
  • What does a residual value of 1.3 mean when referring to the line of best fit of data set?
    13·2 answers
  • a 4.5-foot-long table and a 127-centimeter-long table side by side to form one long table.What is the combined length of the two
    13·1 answer
  • Someone pls pls pls help me
    13·1 answer
  • Round 5.852 to the nearest whole number.
    10·1 answer
  • Can someone answer this question please answer it correctly please answer it correctly
    13·2 answers
  • Plz I need the answer very fast​
    7·1 answer
  • What is the area of the composite figure?
    5·2 answers
  • Adam drove 951 Miles from Tucson to Dallas. He drove the same number of miles each day. How many miles did Adam drive each day t
    5·2 answers
  • PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEE!
    11·2 answers
  • Select all the equations that have {6} as its solution set.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!