Answer:
Step-by-step explanation:
The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:
and

Begin by dividing both sides by 4400 to get

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

The power rule of natural logs says we can move that exponent down in front, giving us:

Divide both sides by ln(1.075) to get

Do this division on your calculator to get
t = 28.2 years
Answer $5.16
Step-by-step explanation:
$7.74 divided by 9 is 0.86 so 0.86 per pencil mutiply that by 6 because you have six pencils and you get 5.16 for six pencils
Answer:
Of(7) = f(1) + 24
Step-by-step explanation:
Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

Answer:
x = 2.66666667
Step-by-step explanation:
3(x + 1) = 11
We multiply both x and 1 by 3 and get
3x + 3 = 11
Now we subtract 3 from both sides
3x + 3 - 3 = 11 - 3
3x = 8
Now divide both sides by 3
3x/3 = 8/3
x = 2.66666667
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