Abusiness woman invests $38,000 into two accounts: one that returns 3.5% annual interest and one that returns 6.5% annual interest. after 1 year, she earns $1960. how much did she invest in each account? $23,000 in the 3.5% interest account, $15,000 in the 6.5% interest account. $26,000 in the 3.5% interest account, $12,000 in the 6.5% interest account. $12,000 in the 3.5% interest account, $26,000 in the 6.5% interest account. $17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.