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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.

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Maggie's brother is 6 years younger than four times her age. The sum of their ages is 39. How old is Maggie?
poizon [28]

We can set Maggie's age to x

If her brother is six years younger than four times her age, than her brother must be equal to: 4x-6

Since the sum of their ages is 39, we can set up an equation.

(Sum of Maggie's age) + (sum of Maggie's brother's age) = 39

x + (4x -6) = 39

5x -6 = 39

5x = 45

x = 9 , Maggie's age is 9

6 0
3 years ago
Using the figure below find what m<_7 equals. (show work if possible)
miss Akunina [59]

Answer:

68

Step-by-step explanation:

m7 + m8 = Straight line = 180

So, m7 = 180 - 112 = 68

8 0
3 years ago
How do i do this? Its confusing
cestrela7 [59]

Answer:

$12,415.48

Step-by-step explanation:

A = P (1 + r/n)^(nt)

where A is the final amount,

P is the initial amount,

r is the annual interest rate as a decimal,

n is the number of compoundings per year,

and t is the number of years.

A = 8000 (1 + 0.152/2)^(2×3)

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5 0
3 years ago
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3 years ago
Jesse has $3.40 in quarters and nickels. The number of nickels is 5 more than 2 times the number of quarters. How many quarters
dlinn [17]

Answer:

9 quarters

Step-by-step explanation:

From the question

Jesse has $3.40 in quarters and nickels

Quarters = q = number of quarters

1 quarter = $0.25

nickels = n = number of nickels

1 nickel = $0.05

Hence,

0.25q + 0.05n = $3.40 .......Equation 1

The number of nickels is 5 more than 2 times the number of quarters.

n = 2q + 5

0.25q + 0.05n = $3.40 .......Equation 1

0.25q + 0.05(2q + 5) = 3.40

0.25q + 0.10q + 0.25= 3.40

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0.35q = 3.15

q = 3.15/0.35

q = 9

Therefore, Jessie has 9 quarters.

3 0
3 years ago
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