Question 1 options: 68° 136° 158° 112°
2 answers:
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Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
>
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.
Answer:
A = $32,652.44
Step-by-step explanation:
Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5
To find: How much David needs to invest monthly
Formula:
Solution: To find, simply add principal + interest
First, convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 30,760.08(1 + 0.12/12)(12)(0.5)
A = 30,760.08(1 + 0.01)(6)
A = $32,652.44
Therefore;
The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.