A home appliance salesperson wants to earn a total of $3,600 next month including his base salary and commissions. He earns a base salary of $800 per month and a 20% commission for all sales that month. What is the value of merchandise that the salesperson must sell to reach his goal.

the value of merchandise that the salesperson must sell to reach his goal must be $14000

Step-by-step explanation:

Let x represent the home appliance salesperson's total sales for the month.

He earns a base salary of $800 per month and a 20% commission for all sales that month. It means that his total earnings from sales worth $x is

0.2x + 800

If the home appliance salesperson wants to earn a total of $3,600 next month including his base salary and commissions, it means that

0.2x + 800 = 3600

0.2x = 3600 - 800

0.2x = 2800

x = 2800/0.2

x = 14000

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)