Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years?

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

substitute in the formula above

the other user didn't round to the nearest dollar..

answer is actually 11749.

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt  

P=5500\ {35px}r=0.069\ {35px}t=11

P=5500r=0.069t=11

Given values

A=5500e^{0.069(11)}

A=5500e  

0.069(11)

Plug in

A=5500e^{0.759}

A=5500e  

0.759

Multiply

A=11748.7645718

A=11748.7645718

Use calculator (with e button)  

A≈11748.76

Round to nearest dollar

A=11749

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.