6. THOUGHT PROVOKING Describe a situation in which a line is a good fit for a set of data, but the data do not show a positive or a negative linear correlation.

Kimplify the exponential expression. Assume that the variable represents a nonzero real number. \( \frac{x^{7}}{x^{10}} \) \( \frac{x^{7}}{x^{10}}=\square \) (Use positive exponents only.)

Javier reads 40 pages every hour. How many pages does Javier read in 2.25 h

j) \( 3 x-1<-2 x+4 \) k) \( 2 x+9>3 x+5 \) ग) \( 2(x-3)+5(x-1) \geq-4 \) m) \( 12(x+2)-5-3(4 x+1)-3 \) n) \( 5(x-2)-4(2 x-1)<-3 x+3 \) o) \( 3 x+2 \geqslant 2-4 x \geqslant 5 x-3 \) p) \( 9 \leqslant 2-4 x \leqslant 12 \)

4. How many 0.4 -liter glasses of water does take to fill up a 3.4 -liter pitcher?

Assignment (Comprehensive problem) You would like to have \( \$ 76,000 \) in 12 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 6 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be? (Assume you can earn 6 percent on this deposit.) c. At the end of year 5 , you will receive \( \$ 10,000 \) and deposit it in the bank in an effort to reach your goal of \( \$ 76,000 \) at the end of year 12. In addition to the lump-sum deposit, how much must you invest in 12 equal annual deposits to reach your goal? (Again, assume you can earn 6 percent on this deposit.) a. How much must you deposit annually to accumulate this amount? \( \$ 4,505.05 \) (Round to the nearest cent.) b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be? \( \$ \square \) (Round to the nearest cent.)