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3 years ago

2,3 coordinates plot it.

Mathematics

1 answer:

zhenek [66]3 years ago

8 0

It should look like this

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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

Please help. I’m confused

Simora [160]

Answer:

when x=6, y=30

when x=7.5, y=37.5

Step-by-step explanation:

Just plug in the value of x into the equation y=5x

so when x=6, the equation will be y=5(6). In this case y=30

when x =7.5, the equation will be y=5(7.5). So y=37.5

6 0

4 years ago

Matthew bought a suitcase marked down from $90 to $81. What is the discount percentage?

Ksivusya [100]

Answer:

10%

Step-by-step explanation:

Percent change= New-Old |Old|× 100% percent change=81-90 |90| × 100= -9 90×100=-10%

7 0

3 years ago

A captain and a co-captain are randomly selected from the 12 members of a fencing team. Determine the probability that Lauren is

Lilit [14]

I'm not 100% sure of this I think its as follows:-

Prob(Lauren then Isabel picked) = 1/12 * 1/11 = 1/132

4 0

3 years ago

Read 2 more answers

In water, the greater the depth, the higher the pressure.

timurjin [86]

P = 10d + 100
..........

5 0

4 years ago