3000 dollars is invested in a bank account at an interest rate of 10 percent per year, compounded continuously. Meanwhile, 16000 dollars isinvested in a bank account at an interest rate of 3 percent compounded annually.To the nearest year, when will the two accounts have the same balance?The two accounts will have the same balance afteryears.

Q: Find the point P on the line y = 5x that is closest to the point (52,0).  What is the least distance...

A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on th...

Q: Kindly help

A: The Taylor series can be obtain as follows.

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A: The equation of the plane is

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as  

Q: Need solution to 4).d.  thanks

A: (d)The limit is a point, where the function approaches the input.The limit value of the given expres...

Q: If the formula describing the distance s(in feet) an object travels as a function of time(in seconds...

A: The distance s(in feet) an object travels as a function is s = 100 + 160 t -16t2.It is known that, t...

Q: Find the area of the region described. -4x and xIn 3 The region bounded by y e. ye X The area of the...

A: We first draw a rough sketch of y=e^x, y=e^-4x and x=ln 3And find the region bounded by them.

Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.

A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...

Q: Find y' if x^y = y^x .

A: Given,