The sequence multiplies by 1/3.
Using the formula for a geometric sequence:
a(n) = a(1) * r^(n-1)
So...
a(n) = 648 * (1/3)^(n-1)
Plugging in 8 for n produces:
a(n) = 648 * (1/3)^(7)
Using a calculator, I find the answer to be 0.296296296...
Answer:
8168.14
Step-by-step explanation:
The first answer is 3/20. All you have to do is plug "3/10" in for s and mutiply straight across.
The second answer is 2/3. Think of 6 as 6/1. Then multiple straight across which is 12/18. Then simplify to get 2/3.
Answer:
$5499
Step-by-step explanation:
The interest of $100 for 1 year is $7.30.
So, the interest for $100 for 4 months is 7.30/4 =$1.825.
Now, there are (6×4) =24 quarters in 6 years.
If the sum of money invested is $x, then it will grow up to $8487.70 at a rate of 1.825% interest quarterly after 6 years.
Therefore, we can write
⇒ x[1.5435] =8487.70
⇒ x = 5499
Therefore, the amount of initial investment is $5499. (Answer)
Answer:
x = 1
Step-by-step explanation:
7x + 16 = 8x + 15
<u>Step 1</u> : Subtract 15 on both sides
7x + 16 - 15 = 8x
7x + 1 = 8x
<u>Step 2</u> : Subtract 7x on both sides
1 = 8x - 7x
1 = 1x
x = 1