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.
Answer:
14
Step-by-step explanation:
rectangle 8
triangle 6
Given:
The compound inequality is:
To find:
The integer solutions for the given compound inequality.
Solution:
We have,
Case 1: 
...(i)
Case 2: 
...(ii)
Using (i) and (ii), we get
The integer values which satisfy this inequality are only 3 and 4.
Therefore, the integer solutions to the given inequality are 3 and 4.
Answer:
1. <B, <A, <C
2. <E, <D, <F
Step-by-step explanation:
Recall: the longest side of a triangle would be opposite the largest angle, while the shortest side of a triangle would be opposite the smallest angle.
1. <B is opposite the shortest side, 3 (smallest angle)
<A is opposite the medium side, 4 (medium angle)
<C is opposite to the largest side, 5 (largest angle)
Therefore, the angles in ascending order would be:
<B, <A, <C
2. <E is opposite the shortest side, 5 (smallest angle)
<D is opposite the medium side, 6 (medium angle)
<F is opposite to the largest side, 7 (largest angle)
Therefore, the angles in ascending order would be:
<E, <D, <F
The gcf of 88 and 120 is 8.
