Elaine opened a savings account with a deposit of $1000. The interest on her account is compounded each year at a rate of 2%. Elaine will not make any additional deposits to or withdrawals from her account. What will be the balance in Elaine's account at the end of 3 years? Round your answer to the nearest whole dollar.

$1,061.21

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present value (PV) = $1,000

Rate of interest compounded yearly (r) = 2%

Time period (n) = 3

So, we can calculate the future value (FV) by using following formula,

Future Value = PV(1 + r)^n

By putting the value, we get

FV = $1,000 ( 1 + 0.02)^3

= $1,000 ( 1.02)^3

= $1,000 ( 1.061208)

= $1,061.21

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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