1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
enot [183]
2 years ago
11

A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a healthy weight. She current

ly weighs 103 pounds. She hopes each week to multiply her weight by 1.08 each week. (a) Find a formula for an exponential function that gives the woman's weight w, in pounds, after t weeks on the regimen. (b) How long will it be before she reaches her normal weight of 135 pounds?
Mathematics
1 answer:
WINSTONCH [101]2 years ago
7 0

Answer:

a.) w = 103 * 1.08^t

b.) 3.5weeks

Step-by-step explanation:

If Her current weight is 103 pounds and she hopes to multiply her her weight each week by 1.08, then

her weight after 1 week = 103 * 1.08 = 103 * 1.08¹

Her weight after 2 weeks = [weight of week 1] * 1.08 = [103* 1.08] * 1.08 = 103 * 1.08²

Weight after 3 weeks= [weight of week 2] * 1.08 = [103 * 1.08 * 1.08] * 1.08 = 103 * 1.08³

Hence weight (W) after t weeks = 103 * 1.08^t

b.) If W = 135, Then

103 * 1.08^t = 135

1.08^t = 135/103

1.08^t = 1.31

Taking log of both sides,

log 1.08^t = log 1.31

t log 1.08 = log 1.32

t = log 1.32/log 1.08

t = 3.5 weeks.

Hence, it will take her 3½ weeks to get to 135pounds weight.

You might be interested in
How do exponents fit into the order of operations
STatiana [176]

Answer:

Exponents are done before addition, subtraction, multiplicaton, and division

Step-by-step explanation:

PEMDAS=

Parenthases

Exponents

Multiply

Divide

Add

Subtract

6 0
2 years ago
If a car factory checks 360 cars and 8 of them have defects, how many will have defects out of 1260?
viktelen [127]
You should expect 28 defected cars.
3 0
3 years ago
Supposed you have been given the task of engineering this product knowing that in your state the cost of electricity is 18 cents
Usimov [2.4K]

You would have about 3472 Hours

.18\8=1.44 for 8 hour

5000/1.44=3472

Hope this helps :)

5 0
2 years ago
It’s possible to build a triangle with side lengths 5 5 and 10 true or false
igomit [66]

Answer: No, the side lengths of 5, 5 and 10 would not be able to.

So the answer is FALSE.

This is because all the lengths must be enough so that when you add the side lengths they are greater then the other, all would work accept 5+5 is not greater than 10.

6 0
3 years ago
How many triangles can you draw with side lengths 2cm,3cm, and 8cm
iren2701 [21]
2,3,8
2,8,3
3,8,2
3,2,8
8,2,3
8,3,2

6 triangles.
5 0
2 years ago
Other questions:
  • 1. -x=10y<br><br>2. y+8=-x<br><br>3. -4+7x+4=3y​
    9·1 answer
  • The sum of four consecutive odd integers is 200 what is the largest of the integers
    14·1 answer
  • What is |27| ? find the ansrew
    7·2 answers
  • The perimeter of the triangular park shown on the right is 14x-5. What is the missing​ length?
    14·1 answer
  • How do I solve this question? ​
    13·1 answer
  • Using a savings amount of $450, assume you deposited the total amount
    11·1 answer
  • Find and sketch the domain of the function. f(x,y)=√(4-x^2-y^2) +√(1-x^2)<br>​
    15·1 answer
  • If the diameter of a circle is 3 and pi=3.14, what is the circumference? Im confused on how to get the circumference.
    14·1 answer
  • Find the value of each variable.<br> 105°<br> 86°<br> 106°/2°
    8·1 answer
  • HELPPPPPPPPPP!!!!!!!!!!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!