34255 = 5 * 13 * 17 * 31
203515 = 5 * 13 * 31 * 101
So GCD(34255, 203515) = 5 * 13 * 31 = 2015
Answer:
The first 5 terms are -6,-25,-44,-63 and -82
The sequence is arithmetic
Step-by-step explanation:
Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6
A(1) = -6
A(2) = A(1) − 19 = -6 - 19 = -25
A(3) = A(2) − 19 = -25 - 19 = -44
A(4) = A(3) − 19 = -44 - 19 = -63
A(5) = A(4) − 19 = -63 - 19 = -82
So the first 5 terms are -6,-25,-44,-63 and -82
If they are in arithmetic the common difference will be same, if geometric common ratio will be same.
Let us check common difference,
-25-(-6) = -19
-44-(-25) = -19
-63-(-44) = -19
-82-(-63) = -19
So common difference is same, so the sequence is arithmetic.
Step-by-step explanation:
Absolute value function:
- |x| = x when x >= 0.
- |x| = -x when x < 0.
Swim 3 feet under water => |-3|
Stand 20 feet above => |20|
Using the absolute value function,
we have |-3| = 3 and |20| = 20.
Since 3 is less than 20, |-3| < |20|. (C)
Answer:
$1,131.20 is the amount earned
Step-by-step explanation:
<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>
1) To understand this problem, you need to know the simple interest formula.
A = P(1+rt)
A is the amount
P is the principal
R is the interest rate as a decimal
T is the time in years
2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14
3) Next we use the formula:
A = 1,010(1+ 0.14(8))
- We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
- Multiply and you will get A = $2,141.20
- To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20
This means $1,131.20 is your answer.
<em>Hope you understood and have a nice day!! :D</em>
