kremena's bank account earns 4.5% simple interest. how much must she deposit in the account today if she wants it to be worth $1,250 in 3 years? give your answer in dollars to the nearest dollar. do not include the dollar symbol or

Kremena needs to deposit $1,101 today to earn a total of $1,250 in 3 years at 4.5% simple interest rate

Step-by-step explanation:

Interest = Principal (P) × Rate (R) × Time (T)

Amount = Principal (P) + Interest

Amount = P + PRT

Amount = P (1 + RT)

1250 = P (1 + (0.045 × 3))

1250 = P (1 + 0.135)

1250 = P (1.135)

Principal = 1250 ÷ 1.135

Principal = approx. 1101

{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