Answer:
Step-by-Step-explaination
9(−5ℎ) = - 45h
Answer: The required solution is 
Step-by-step explanation:
We are given to solve the following differential equation :

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.
From equation (i), we have

Integrating both sides, we get
![\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]](https://tex.z-dn.net/?f=%5Cint%5Cdfrac%7Bdy%7D%7By%7D%3D%5Cint%20kdt%5C%5C%5C%5C%5CRightarrow%20%5Clog%20y%3Dkt%2Bc~~~~~~%5B%5Ctextup%7Bc%20is%20a%20constant%20of%20integration%7D%5D%5C%5C%5C%5C%5CRightarrow%20y%3De%5E%7Bkt%2Bc%7D%5C%5C%5C%5C%5CRightarrow%20y%3Dae%5E%7Bkt%7D~~~~%5B%5Ctextup%7Bwhere%20%7Da%3De%5Ec%5Ctextup%7B%20is%20another%20constant%7D%5D)
Also, the conditions are

and

Thus, the required solution is 
Answer:
The cost of the tile for the kitchen is $1,680
Step-by-step explanation:
step 1
we know that
The scale drawing is 
The dimensions of the kitchen in the blueprint are
L=3(1/4)=3/4 in
W=5(1/4)=5/4 in
step 2
Find the actual dimensions of the kitchen
Divide the dimensions of the kitchen in the blueprint by the scale drawing
L=(3/4)/(1/16)=12 ft
W=(5/4)/(1/16)=20 ft
The area is equal to
A=(12)(20)=240 ft²
step 3
Find the cost of the tile for the kitchen
7(240)=$1,680
Answer:
The lodging cost of the room is $ 41.28
Step-by-step explanation:
Given as :
The rate of room including taxes = $ 45
The state tax = 6 %
The city tax = 2 %
The municipal tax = 1 %
So, The total tax = 6 % + 2 % + 1 % = 9 %
Let The lodging cost = $ x
So, According to question
x + 9 % of x = $ 45
Or, x + 0.09 × x = 45
Or, 1.09 × x = 45
∴ x =
= $ 41.28
Hence The lodging cost of the room is $ 41.28 Answer
X intercept (-10,0)
y intercept (0,-5)