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shutvik [7]
3 years ago
9

I need help with this problem asap

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0
A . 104 x 5.




Hope this helps
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How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de
lesantik [10]

Answer:

amount is 1000 × e^{0.08t}

$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 × e^{rt}    ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × e^{rt}

amount = 1000 × e^{0.08t}

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 × e^{rt}

1000000 = principal × e^{3.2}

principal = 1000000 / e^{3.2}

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 × e^{rt}

1000000 = 2500 × e^{40r}

take ln both side

ln e^{40r} =  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

5 0
3 years ago
Greatest common divisor of 60 and 792 using the prime factorization method
klio [65]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Harrizon [31]
<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:

y-b=\dfrac{d-b}{c-a}\times (x-a)

Here we have:

(a,b)=(0,0) and (c,d)=(-1/2,3)

Hence, the equation of line is:

y-0=\dfrac{3-0}{-\dfrac{1}{2}-0}\times (x-0)\\\\\\\\y=\dfrac{3}{\dfrac{-1}{2}}\times x\\\\y=3\times (-2)\times x\\\\y=-6x

Hence, the equation of line is:

y= -6x

6 0
3 years ago
Read 2 more answers
X - 7 divide by 3 = 4x divide by 5
9966 [12]

Hey here is my ans.... Catch it.... ❤️ ❤️ ❤️ Pls mark as brainliest ❤️

7 0
3 years ago
How do you solve each system by graphing
abruzzese [7]

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:

\left\{ \begin{array}{c}y=2x+3\\3y=8x+27\end{array}\right.

yBy using graphing tools, we get the graph shown below. As you can see, the point of intersection of both lines is (-9,-15)

<h2>Learn more:</h2>

Solving systems by graphing: brainly.com/question/13799715

#LearnWithBrainly

8 0
3 years ago
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