Calculate how much more money does $1000 earn in 8 years compounded daily at 3%, than $1000 over 8 years at 3% compounded semi-annually? Show all work to get full
credit

To determine the compound interest of a certain investment, the following formula should be used:

X = Initial value (1 + interest rate / number of compositions) ^ years x number of compositions

Thus, in the assumption of an investment of $ 1,000 with interest compounded daily at 3% for 8 years, the formula would be the following:

X = 1,000 x (1 + 3/365) ^ (8x365)

X = 1,271.24

On the other hand, in the case of an investment of $ 1,000 with compound interest every 6 months at 3% for 8 years, the formula would apply as follows:

X = 1,000 x (1 + 3/2) ^ (8x2)

X = 1,268.99

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1