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Natasha2012 [34]
2 years ago
14

ANSWER ASAP! WILL MARK BRAINLIEST DUE TODAY

Mathematics
1 answer:
timama [110]2 years ago
6 0

B) 36 !

Step-by-step explanation:

Hope I helped u. :)

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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
During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he increased the n
SIZIF [17.4K]
45/81 = .55
Turn this into a percent: .55 x 100
55 percent
Hope this helps!
6 0
3 years ago
Read 2 more answers
85,000,000+2.9×10 5 pleas and thank you
irina [24]

Answer:

Step-by-step explanation:

Assuming you are asking for

85,000,000 + 2.9 x 10^5 =

8.5 x 10^7 + 2.9 x 10^5 =

10^5 ( 8.5 x10^2 + 2.9) =

10^5 ( 850+2.9) =

10^5 ( 852.9) =

10^5 x 8.529 x 10 ^2=

8.529 x 10^7

or

85,000,000 + 2.9 x 10^5 =

85,000,000 + 290,000 =

85290000 =

8.529 x 10 ^7 (because we moved 7 spots to the left)

5 0
2 years ago
Which is the equation of the parabola?
Umnica [9.8K]

Answer: y=-\dfrac{1}{8}(x - 2)^2 - 3

<u>Step-by-step explanation:</u>

The vertex form of a parabola is: y = a(x - h)² + k    where

  • (h, k) is the vertex
  • a=\dfrac{1}{4p}  

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}

Insert those values into the vertex formula to get:

y=-\dfrac{1}{8}(x - 2)^2 - 3

4 0
3 years ago
The segment shown below could form a triangle.
valentina_108 [34]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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