SDJ, Inc., has net working capital of $1,910, current liabilities of $5,610, and inventory of $1,265. What is the current ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) Current ratio times What is the quick ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) Quick ratio times

Current Ratio = 1.34

Quick Ratio = 1.11

Explanation:

Calculate current asset from following formula

Net Working Capital = Current Asset - Current Liabilities

$1,910 = Current Asset - 5,610

Current Asset = $1,910 + 5,610

Current Asset = $7,520

Current Ratio = Current Asset / Current Liabilities = 7,520 / 5,610 = 1.34

Quick Ratio = ( Current Asset - Inventory ) / Current Liabilities

Quick Ratio = ( 7,520 - 1,265 ) / 5,610 = 1.11

part 1: the half-life of the element is 22 years.

part 2: it will take 132.02 year for the sample to decay from 308.0 g to 4.8125 g.

explanation:

part 1: there are two ways to determine the half life time.

first way: the half life time can be determined directly from its definition as it is the time required for the sample to decay to its half concentration.

from the data the initial concentration was 45.0 g and decayed to its half value (22.5 g) in 22.0 years.

second way: the radio active decay is considered first order reaction so we can use the laws of first order reactions.

k = (1/t) ln (a/a-x), where k is the rate constant of the reaction,

t is the time of the reaction

a is the initial concentration of the reactant

a-x is the remaining concentration at time (t)

a = 45.0 g the initial concentration at t = 0 year.

at t = 22 year, a-x = 22.5 g

then k = (1/22 year) ln (45.0 g/ 22.5 g) = 0.0315 year-1.

the half-life time (t1/2) = ln 2/ k = 0.693/ k =0.693/ 0.0315 = 22 years.

part 2:

using the same law k = (1/t) ln (a/a-x),

using the given data; a = 308.0 g and a-x = 4.8125 g and the calculated k from the part 1 (k = 0.0315 year-1)

t = (1/k) ln (a/a-x) = (1/0.0315) ln (308.0/ 4.8125) = 132.02 years