Katie invests $5,000 in an account earning 4% interest, compounded annually for 5 years. two years after katie's initial investment, emily invests $10,000 in an account earning 4% interest, compounded annually for 3 years. given that no additional deposits are made, compare the amount of interest earned after the interest period ends for each account. (round to the nearest dollar)

Emily will earn $166 more interest than Katie after the interest period ends for each account.

Step-by-step explanation:

Formula for compound interest is:   , where P is the initial amount, A is the final amount with interest,  r  is the rate of interest in decimal,  n is the number of compounding in a year and  t  is the time duration

Katie invests $5,000 in an account earning 4% interest, compounded annually for 5 years. That means here,   and

So,  

Thus, the amount of interest earned by Katie

Now, Emily invests $10,000 in an account earning 4% interest, compounded annually for 3 years. That means here,   and

So,  

Thus, the amount of interest earned by Emily

After the interest period ends for each account, Emily will earn ($1249 - $1083) or $166 more interest than Katie.

answer: at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation:

{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