Answer:
D. y-4= -3/2(x+5)
Step-by-step explanation:
Firstly, taking two valid ordered pairs from the graph:
(-2,4) and (2,-2)
Using Delta y over Delta x, we are able to obtain m as -3/2
Next,
The following is the point-slope formula:
y-y₁=m(x-x₁)
Based on the graph, (4,-5) can be spotted as a definite ordered pair
Therefore, y-4= -3/2(x+5) fits the graph best and has the appropriate m value.
Answer:
Therefore the value of bond will triple after 17.72 years.
Step-by-step explanation:
The formula of Compounded continuously

A= Amount after t year
P= initial amount
r = rate of interest
t= time in year.
Given that,
Jacobs college saving are invested in bond that pay 6.2% compounded continuously.
Let after t years the initial amount P will be triple i.e 3P.
Here P=P, A=3P, r= 6.2%=0.062

[ Multiply
both sides]
Taking ln both sides

[ since
]

years
Therefore the value of bond will triple after 17.72 years.
Answer:
df/dx = e^x(1/x+ ln(x))
Step-by-step explanation:
f(x) = e^x * ln(x)
We can solve this by partial derivatives
df/dx = u dv + v du
let u = e^x and v = ln(x)
df/dx = e^x * 1/x + ln(x) * e^x
Factor out the e^x
df/dx = e^x(1/x+ ln(x))
Answer:
the 3rd one is the graph answer