Answer:
$216435
Step-by-step explanation:
Given : Suppose homes in a big city increase in value 13% every year.
To Find: How much will a home that cost $150,000 be worth 3 years later?
Solution:
Principal = $150000
Rate = 13% =0.13
Time = 3 years
Formula : 
Now substitute the values in the formula


So, The cost of home after 3 years will be $216435
Hence Option B is true
Answer:
Step-by-step explanation:
Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)




Answer:
(n + 2)² + 6
Step-by-step explanation:
pattern 1:
Total squares = 15
3² + 6 = 16
Pattern 2:
Total squares = 22
4² + 6
Pattern 3:
Total squares = 31
5² + 6
Looking at the series,
There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6
Hence, expressing the nth pattern in the form ;
(n + a)² + b
Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;
b = 6
Hence, we have ;
(n + 2)² + 6
The way this should be set up is:
9a = 3600...
So you must divide '9' on both sides, canceling out the '9', and making the 3600 to be '400'..
So the problem should look like: a = 400 <--- (Answer)
Hope it helped.. :)
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Answer: C, 420
Step-by-step explanation:
The first positive even numbers are from 2 to 40, so the sum is equal to the number of terms, times the number of terms plus one (20*21 = 420)
the sum is 420