Answer:
Step-by-step explanation:
Geometric sequence
Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is
where 
is the first term of the sequence
The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as
amount in hour n = amount in hour n-1 * 0.91
a)
This information provides the necessary data to write the general term as
b)
In the 8th hour (n=8), the remaining medicine present is Georgie's body is
A = Pe^rt
Amount of interest paid = Principal*e^ (rate*time)
(The rate must be in decimal form)
3.15% / 100 = .0315
1,512 = P[e^(.0315*12)]
1,512 / e^(.0315*12) = P
1036.06 = P
$1036.06 was the Principal
** I left that value unrounded to the hundreds place because one doesn’t round with money. :)
Good luck!
Answer:
2^6 x 3^3 and 12^3
Step-by-step explanation:
First, solve
6^3 x 2^6/2^3
216 x 64/8
13824/8 = 1728
lets solve for the answers
6^3 = 216
Therefore, 6^3 is not an answer
2^6 x 3^3= 64 x 27 = 1728
because both expressions are equal to 1728, this is an answer. this answer can also eliminate 2^3 x 3^3 because it has a lower exponent than the answer that is equal to 1728. therefore, the value of it must be smaller than 1728
12^3 = 1728
This answer is correct, because both values are equal to each other, meaning that 12^6 is larger than 1728
Therefore, your answers will be 2^6 x 3^3 and 12^3
Answer:
$702
Step-by-step explanation:
To find the total price of the cheese wheel that David is buying, we need to multiply the original cost to sales tax first.
Original Cost = $650
Sales Tax Percentage= 8% or 0.08
Now let's solve for how much the sales tax is.
Sales Tax = 0.08 x 650
Sales Tax = $52
Now to get the price including the tax, we simple add the original cost to the sales tax.
Total Price = $650 + $52
Total Price = $702
So the cheese wheel that David bought is $702 with tax included.
(X+60)(x+2) is the answer
