Answer:17,000
Step-by-step explanation:Add 532+150=680 then times it by 25 which equals 17,000
Answer:
so i don't know if they are separate math problems but for the first question i got M=5 and the second question i got M=-7/2
Step-by-step explanation:
hope this helps please mark brainliest
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}](https://tex.z-dn.net/?f=1000e%5E%7B0.05t%7D)
The present value of the money flow = ![\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20%7B1000e%5E%7B0.05t%7D%28e%5E%7B-0.035t%7D%29%7D%20%5C%2C%20dt)
= ![1000\int\limits^4_0 {e^{0.015t}} \, dt](https://tex.z-dn.net/?f=1000%5Cint%5Climits%5E4_0%20%7Be%5E%7B0.015t%7D%7D%20%5C%2C%20dt)
= ![1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4](https://tex.z-dn.net/?f=1000%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015t%7D%7D%7B0.015%7D%20%5Cright%20%5D_0%5E4)
= ![1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]](https://tex.z-dn.net/?f=1000%5Ctimes%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015%284%29%7D%7D%7B0.015%7D%20-%5Cfrac%7Be%5E%7B0.015%280%29%7D%7D%7B0.015%7D%20%5Cright%5D)
= 1000 × [70.7891 - 66.6667]
= $4,122.4
Accumulated interest = ![e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt](https://tex.z-dn.net/?f=e%5E%7Brt%7D%5Cint%5Climits%5E4_0%20%7B1000e%5E%7B0.05t%7D%28e%5E%7B-0.035t%7D%7D%20%5C%2C%20dt)
= ![e^{0.035\times4}\times4,122.4](https://tex.z-dn.net/?f=e%5E%7B0.035%5Ctimes4%7D%5Ctimes4%2C122.4)
= $4,742
The oldest age pat could be ia 10.10 times 2 equals 20.20 plus 5 is 25 .
Answer:
A
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
To find m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line
m =
=
= 1
y = x ← is the equation of the line → A