Which inequalities have the solution set shown on the
number line?

B     1.4x - 0.08 < 2.02

Step-by-step explanation:

If you notice, the graph/number line already has an open circle, so A and D can't be the answer. If you try to solve for C, you will get x < 3.5, which is wrong since the graph/number line states that x < 1.5. If you solve for B, you will get x < 1.5. To get this, add 0.08 to both sides, so you will have 1.4x < 2.1. Then divide 1.4 on both sides to ISOLATE x. Remember, you want to use inverse operations to isolate the variable! 2.1 divided by 1.4 equals to 1.5. Therefore, your answer is x < 1.5,  which is the solution shown on the number line!

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: