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2 years ago

At which point would the graphs of the equations below intersect?

Mathematics

1 answer:

Serhud [2]2 years ago

3 0

Answer:

can't explain without you arranging your mathematical expression

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Money Flow The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the

77julia77 [94]

Answer:

Present value = $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5% compounded continuously

Now,

Accumulated Value of the money flow = $1000e^{0.05t}$

The present value of the money flow = $\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt$

= $1000\int\limits^4_0 {e^{0.015t}} \, dt$

= $1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4$

= $1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]$

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = $e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt$

= $e^{0.035\times4}\times4,122.4$

= $4,742

8 0

3 years ago

6.2 + 4/5 = ? .........

LUCKY_DIMON [66]

Answer:

7, .2=2/10=1/5+4/5=1+6=7.

P.s.

Please give me brainliest for my next rank.

4 0

3 years ago

Read 2 more answers

Factor completely 5c5 + 60c4 + 180c3.

Mrac [35]

5c^5 + 60c^4 + 180c^3

find the GCF, 5c³

5c³(5c^5 + 60c^4 + 180c^3/ 5c^3)

5c³(c² + 12c + 36)

5c³(c² + 2(c)(6) + 6²)

5c³(c + 6)² <<< the answer.

hope this helps, God bless!

8 0

3 years ago

Ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. a 2-column

lana [24]

The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

<h3>How to determine the equation of the model?</h3>

The partially completed model is given as:

| n

| n²

5 | 5n | 40

By dividing the rows and columns, the complete model is:

| n | 8

n | n² | 8n

5 | 5n | 40

Add the cells, and multiply the leading row and columns

n² + 8n + 5n + 40 = (n + 8)(n + 5)

This gives

n² + 13n + 40 = (n + 8)(n + 5)

Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)