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
vladimir2022 [97]
3 years ago
5

Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu

mber of pennies she saved each week for the first three weeks is shown.
Use the exponential pattern in the table to complete the statements.

After 7 week, Tabitha saved _____ pennies.

When there are a total of 486 pennies, ____ weeks have passed.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

  • after week 7: 4374 pennies
  • 486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

  an = 6·3^(n-1)

This can be rearranged to ...

  an = 2·3^n

__

When n=7, the value is ...

  a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

__

To find when there are 486 pennies saved, we can solve the equation ...

  486 = 2·3^n

  243 = 3^n

  log(243) = n·log(3) . . . . . . . take the logarithm

  log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

You might be interested in
The sum of a positive integer and a negative integer is...
murzikaleks [220]
Depends is the positive integer is larger than the negative interger for example -10+5=-5.
10+-4=6
8 0
3 years ago
-9 - (-4) = <br> What does that equal to?
CaHeK987 [17]

Answer:

-5

Step-by-step explanation:

When you subtract a negative you end up adding it instead

5 0
2 years ago
Determine the number of subsets of {12, 13, 14}
Alex787 [66]

Answer:

8

Step-by-step explanation:

{ }

{12} {13} {14}

{12, 13} {12, 14} {13,14}

{12, 13, 14}

Total: 8

7 0
2 years ago
5.
nikitadnepr [17]

Answer:

i am not so sure but I think its 10x = 33

3 0
2 years ago
A=1/2(a+b)h<br> solve equation for b
siniylev [52]
B=(2a/h) - a is the answer.
3 0
3 years ago
Other questions:
  • Eric can run I mile in<br> 6.5 minutes. How long<br> will it take him to run<br> 3.5 miles?
    5·1 answer
  • Which of the following represents the set "all values of x greater than or equal to −1 and less than 2" in set builder notation?
    8·2 answers
  • Daniel is climbing up a cliff at a rate of 2 meters per minute. What is his rate in feet per hour? about 98.4 feet per hour abou
    7·2 answers
  • All 5 students in Mrs. Awful's class got a 50 on the test. What’s the average grade in this class?
    9·1 answer
  • How many numbers are between 1 and 100 that are divisible by 2 and 5?
    11·1 answer
  • AYOOO THIS IS A TEST. someone please help me.
    9·1 answer
  • Holt mcdougal chapter 7 online answer key
    9·1 answer
  • Determine the slope for the line that passes through the points given by the table of values.
    12·1 answer
  • Maya paid $11.88 for a 2.38-pound bag of shrimp at one store. The following week, she paid $26.47 for a 5.08-pound bag at anothe
    10·1 answer
  • Unit 1: Geometry Basics Homework
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!