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
Write an equation passing through the point and perpendicular to the given line: (-3,5);y = 3/4x-4
balandron [24]

Hey!

So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).

Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.

5 = -(4/3)(-3) + b

5 = 4 + b

1 = b

Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:

y = -(4/3)x + 1

7 0
3 years ago
At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price
wel

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

6 0
2 years ago
Write three equivalent ratios for the given ratio. Circle the simplest form of the ratio. 10/12 14/2 4/7
zheka24 [161]
The simplest form is 4/7
8/14
12/21
16/28
8 0
3 years ago
Read 2 more answers
Decide whether the following rates are equivalent. Show work; and answer of YES or NO.
zubka84 [21]
Eh 12/20 is .6 pages a minute. 20/32 is .625 pages a minute
8 0
3 years ago
Deanna is 2 years less than twice as old as Tyler l. The sum of their ages is 22. How old is each?
PtichkaEL [24]

they are 11 years old

5 0
3 years ago
Other questions:
  • What is 2ab when a=7 and b=2
    6·2 answers
  • Solve using quadratic formula: 6x^2-10x-4=0
    10·2 answers
  • Write the fraction as a percent if necessary round to the nearest tenth of a percent 5 2/5
    15·1 answer
  • Katie's bank statement shows a closing balance of $178.11. There are no outstanding checks or deposits. Her checkbook shows a ba
    5·1 answer
  • It was recently estimated that uninsured vehicles out number insured ones by about 6 to 5 if there are 2002 vehicles in a county
    6·1 answer
  • 446,221 to the nearest ten
    9·2 answers
  • What’s a 10 percent of 100
    5·1 answer
  • Please help me,i am so confused!!!???
    14·1 answer
  • Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed
    7·1 answer
  • What is 3/4 + 1/8 sorry i didnt know this im really needing help with this anwser
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!