Leave the x alone first. -2/5x<9/10+9. then -2/5×<99/10. multiply both sides by 5 you'll get -99/2 < 2x. then divide both sides by 2 you'll get -99/4 < ×
A number and its absolute value are not equal when the number is less than zero. Since subtracting 2 makes the number less than zero, we know ...
... the number is a non-negative number less than 2. (0 ≤ n < 2)
Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
I think the best answer is AB