A pair of investments have identical future values of $15,000 with 15-

year maturities. Option A has an 8%

interest rate compounded annually. Option B has a 10%

simple interest rate.

Which statements are true about the present values of the investments?
Option A has a PV of $4728.63.
$
4728.63
.
Option A has a PV of

Option B has a lower PV than Option A.
Option B has a lower PV than Option A.

Option A has a PV of $6818.18.
$
6818.18
.
Option A has a PV of

Option A has a lower PV than Option B

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Find the domain and range of the following function f(x) = 51x - 21+ 4

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?