Answer:
amount is 1000 ×
$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Step-by-step explanation:
principal = $1000
rate = 8 % = 0.08
to find out
the future value, S(t)
principal when Donna's account will be 1 million dollars when she retires in 40 year
at what rate Donna's account will have a balance of 1 million dollars in 40 years
solution
we know compounded continuously formula i.e.
amount = principal ×
..................1
put the value principal and rate in equation 1 to find amount any time
amount = principal ×
amount = 1000 ×
in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal
rt = 0.08 × 40 = 3.2
amount = principal × 
1000000 = principal × 
principal = 1000000 / 
principal = 1000000 / 24.5325302
principal = 40762.20397
so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate
amount = principal × 
1000000 = 2500 × 
take ln both side
ln
= ln (1000000 / 2500 )
40 r = ln 400
r = ln (400) / 40
r = 0.149787
so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Answer:
12
Step-by-step explanation:
<h3><u>
Answer:</u></h3>
Hence, the equation of line is:
y= -6x
<h3><u>
Step-by-step explanation:</u></h3>
Clearly from the graph we could see that the line passes through the point (0,0) and (-1/2,3).
Also we know that the equation of a line passing through (a,b) and (c,d) is given as:

Here we have:
(a,b)=(0,0) and (c,d)=(-1/2,3)
Hence, the equation of line is:

Hence, the equation of line is:
y= -6x
Hey here is my ans.... Catch it.... ❤️ ❤️ ❤️ Pls mark as brainliest ❤️
See the attached graph
<h2>
Explanation:</h2>
Hello! Remember to write complete questions in order to get good and exact answers. Here you don't provide any system so I couldn't help you in an exact way, but in a general manner. When solving systems by graphing we just need to find the points of intersection of the graphs of the functions that built up the system.
Suppose you have the following system of linear equation:

yBy using graphing tools, we get the graph shown below. As you can see, the point of intersection of both lines is 
<h2>Learn more:</h2>
Solving systems by graphing: brainly.com/question/13799715
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