A person on an assembly line produces P items per day after t days of training, 400 where P(t)= How many days of training will it take for a person to 1+23e produce 340 items? (Find algebraically.)

Question

einfachmoipf · Accepted Answer

Step 1  P(t)=4001−23e−t  No. of item P(t)=340  Step 2  P(t)=4001+23e−t  340=4001+23e−t  340(1+23e−t)=400  340+7820e−t=400  7820e−t=60  e−t=607820  Take ln each sides  ln⁡(e−t)=ln⁡(607820)  −tln⁡(e)=ln⁡(3391)  −t(1)=−4.87  t=5  Therefore, 5 days of training

Cheryl King · Accepted Answer

P(t)=4001+23e−t  P(t)=340  We have to find t.  340=4001+23e−t  3404001=23e−t  =−ln⁡(34092023)  t=5.60 days

nick1337 · Accepted Answer

P(t)=4001+23e−t put P(t)=340 then,  340=4001+23e−t⇒340(1+23e−t)=400⇒340+7820e−t=400⇒7820e−t=400−340⇒7820e−t=60⇒e−t=607820⇒e−t=3391⇒taking log both sides:ln⁡(e−t)=ln⁡(3391)⇒−t×ln⁡(e)=ln⁡(3391)⇒−t=−4.8701⇒t=4.8701⇒t=5

A person on an assembly line produces P items per

Answered question

Answer & Explanation

New Questions in Algebra I