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
Virty [35]
2 years ago
12

A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance trav

eled is 56.923 miles. Part A: How many miles did the hiker travel on the first day
Mathematics
1 answer:
Anastaziya [24]2 years ago
5 0

Answer:

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

  5.6923 = a1·0.9487171

Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

You might be interested in
Pls help quick i beg please,Complete the explanation blank and blank 1 whole stirp could represent 1 blank and the 1/3 strip cou
yKpoI14uk [10]

Answer:

Feet and yards; the 1 whole strip could represent 1 yd. and the \frac{1}{3} strip could represent feet.

4 0
3 years ago
Finish the pattern 2,4,8,16,_,_,_,_
motikmotik
It's multiplying by two
8 0
3 years ago
H=(-5) answer needed now!!!!
wariber [46]

Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

7 0
3 years ago
Leigh took out a payday loan for $400 due in 2 weeks that charged a $50 fee. What is the periodic interest rate of the loan?
VMariaS [17]

Answer: I got 12.5 for apex

Step-by-step explanation:

I just took the test

6 0
3 years ago
Read 2 more answers
Jonah pledged to walk 3.25 miles during a charity walk. His mother pledged to walk twice as far as Jonah, plus 0.5 of a mile mor
Alla [95]
I think it is 3.25+3.25+0.5=6.55
6 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!!
    7·2 answers
  • What's 0.312 as a fraction
    9·2 answers
  • Write the equivalent percent for 19/50 fraction
    13·1 answer
  • Steven and Bob both have a Pokemon card collection. The number of Pokemon cards in Steven's collection can be represented by x.
    11·1 answer
  • PLEASE HELP, WILL GIVE BRAINLIEST The number of views on an interesting video after it's uploaded is represented by the followin
    7·2 answers
  • Bonita drove 8 miles from her home to the library, and then drove back.
    14·2 answers
  • 5x+3−3x−5 <br><br> I only asked this question if anyone needs to ask, so they don't have to.
    10·1 answer
  • What is the solution to the system of linear equations graphed below?
    11·2 answers
  • What is the equation of the line that passes through the points (4,-1) and (3,-8)
    10·1 answer
  • Find the longer and shorter lengths and hypotenuses
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!