Answer:A(t)= 2,675(1.003)12t
A(t)=4170(1.04)t
A(t)=5750(1.0024)2t
Step-by-step explanation:Exponential growth is also called growth percentage.
It is calculated using 100% of the original amount plus the growth rate . Example if the amount grows by 5% yearly.5%=0.05
It is written thus(1+0.005)=1.05.
It is usually written in decimal.
The formular for compound interest that is growing exponentially is written as
A=P (1 + i)^N
Looking at the 5 A(t) equations,only 3 of it are growing exponentially.
Answer:
The value of rate of decrease of volume = - 3600 
Step-by-step explanation:
According to Boyle's law P V = C ------- (1)
Pressure ( P ) = 100 k pa = 10 
Volume ( V ) = 900 
Put these values in equation ( 1 ) we get,
⇒ C = 10 × 900 = 9000 N-cm = 90 N-m
Differentiate Equation ( 1 ) with respect to time we get,
⇒ V 
+ P 
= 0
⇒ V = - P
⇒ = - 
---------- (2)
This equation gives the rate of decrease of volume.
Given that Rate of increase of pressure = = 40
C = 90 N-m
P = 
pa = 10
V = 900
Put all the above values in equation 2 we get,
⇒ = - 
× 40
⇒ = - 3600
This is the value of rate of decrease of volume.
Answer:
the graph rises to the left and falls to the right.
the answer is B
Step-by-step explanation:
Answer:
144,148,152
Step-by-step explanation:
Here we will have, 4x + 4(x+1) + 4(x+2) = 444
=> x + (x+1) + (x+2) = 111 (dividing both sides by 4)
=>x + x+1 + x+2 =111
=> 3x + 3 = 111
=> 3x = 108
=> x = 36.
So, the three desired numbers 4x, 4(x+1) and 4(x+2) are,
4*36, 4*(36+1) and 4*(36+2)
That means the numbers are, 144, 148 and 152.
(10/4) - 6.2
10 divided by 4, do that first because it's in the parenthesis, then subtract 6.2 from it.
