SELECT PAGE NO.

No Books/Pages Are Available

SELECT PROBLEM NO. FOR THE PAGE
44

Step-by-step Answer
PAGE: 168SET: ExercisesPROBLEM: 44
Please look in your text book for this problem Statement

If an initial quantity continuous decay at an exponential rate , then the final amount after a time is given by the following formula .

(a)

Find proportion of words remains unchanged.

The function is .

is the proportion of words that remain unchanged.

is the time since two languages diverged.

is the rate of replacement.

Since two languages diverged years ago .

Since rate of replacement is , .

Substitute and in .

.

Proportion of words remains unchanged is .

(b)

Find how many years will only 1% of the words remain unchanged.

Since 1% of the words remain unchanged, .

Substitute and in .

Apply logarithm on each side.

.

1% of the words remain unchanged in years.

(a) Proportion of words remains unchanged is .

(b) 1% of the words remain unchanged in years.



TESTIMONIALS

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."

Charles

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

QUESTIONS? LET US HELP.
Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only