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]
3 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]3 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
I NEED HELP NOWWWWW. PLEEEASSSE ANSWER QUICKLY WITH CORRECT ANSWER. WILL BE AWARDED WITH BRAINLIEST ANSWER.
Annette [7]

Answer:

The two angles mentioned are alternate interior angles, so they are congruent.

303 feet.

Step-by-step explanation:

If you draw off the flag you can see they are alternate interior and are congruent.

Also again, make a diagram it really helps a lot

:)

6 0
3 years ago
I need help with this, it's due in 15 mins-
LiRa [457]

Answer:

Mean: 3.5263157894737

Median: 3

Mode: 3

Step-by-step explanation: The mode is 3 because the mode is for which number pops up the most, which is 3.

I got the median by crossing out 8 from the left and the right of the number set and got 3 as the last number.

I got the mean by adding up all the numbers and divided it by the amount of numbers in the set.

3 0
3 years ago
24*43x22*8x67x890x10*3x6*1x8*1
lukranit [14]

Answer:

1032x176x67x890x30x6x8

1032×176×67×890×30×6×8x^6

1.56^13×x^6

4 0
3 years ago
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
Dahasolnce [82]

Answer: Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

7 0
3 years ago
- 100 points -
Molodets [167]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Enrollment in a dance studio has grown exponentially since the studio opened. A graph depicting this growth is shown. Determine
    13·1 answer
  • 10 POINTS Which expressions are equal to 6^3 x 2^6/2^3?
    5·1 answer
  • In a bag there are 4 purple marbles, 3 green marbles, 10 yellow marbles. If a student draws one marble what is the sample space?
    11·2 answers
  • A baker has 88 muffins. He fills large boxes that hold 9 muffins each.Then, he puts the leftover muffins in a small box. How man
    15·1 answer
  • Three and two sevenths plus eight and one third
    13·2 answers
  • Which line segments are a radius of Y?<br><br> RX<br> SW<br> SY<br> TY
    14·2 answers
  • Solve the equation for x.
    6·1 answer
  • X^2y^-1 + y / a-xy^-1
    15·1 answer
  • Write an equation in slope-intercept form of the line that has a slope of -9 and a y-intercept of -4
    12·2 answers
  • Consider the right triangle <br> 8 in. 5 in. x<br><br> what is x
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!