Daniel deposits a certain sum of money in a bank. If the simple interest rate of the bank decreases from 3.75% per annum to 3.5% per annum, Daniel's interest will increases by $50 in a year. Find the sum of money he deposits. The answer is $20000 but I don't understand how. Please give a step-by-step explanation.

$20,000

Step-by-step explanation:

Given

Interest decreases from 3.75% to 3.5% in a year

This change in the rate of interest brings a yield of 50$

Earlier interest was

Now, interest is

change gives 50$ i.e.

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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step-by-step explanation: