Answer:
I'll find X for you; the next step is by you.
Step-by-step explanation:
we have two similar pentagons
I will do it in 2 ways.
1.
=> 48/4x = (x+2)/x
=> 12/x = (x+2)/x
Because of pentagons so x > 0
=> 12 = x + 2 => x = 10
2.
k is unknown number
=> 4x = k.x and 48 = k.(x + 2) (x > 0)
=> k = 4 and 48 = 4.(x + 2)
=> 12 = x + 2 => x = 10
9514 1404 393
Answer:
r = 2
Step-by-step explanation:
The first differences between successive terms are ...
10 -5 = 5
20 -10 = 10
The differences are not constant, so the sequence is NOT arithmetic.
__
The ratios of successive terms are ...
10/5 = 2
20/10 = 2
The ratios are constant, so the sequence is ...
geometric with a common ratio of 2.
9 is the answer for that problem
Answer:
Option 2
Step-by-step explanation:
Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.
With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.
With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.
Obviously, she should choose Option 2 because she saves A LOT more money.
Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.
