Answer:
-1 5/6
Step-by-step explanation:
-2/3 + (-1 1/6)
Look carefully at he number line. Each space between whole numbers is divided into 6. That means that from one mark on the line to the very next one, the distance is 1/6.
Start at -2/3. Since we are dealing with 1/6's, convert -2/3 to 6ths.
-2/3 * 2/2 = -4/6
-2/3 is the same as -4/6, so start at -4/6. Locate 0 on the number line, and move 4 marks to the left. That is -4/6 which is the same as -2/3 and is your starting point.
Now you need to add -1 1/6. Adding a negative number is the same as subtracting a positive number. Adding -1 1/6 is the same as subtracting 1 1/6. That means you need to go left 1 1/6. Since each unit is divided into 6 equal parts, 1 1/6 is 7 marks on the number line. Starting at -4/6, count 7 marks to the left. Where you end up is the answer which is -1 5/6.
Answer: -2/3 + (-1 1/6) = -1 5/6
Multiply the two, and you will have 3/500. It’s already as simplified as it can be so that is the answer.
Answer:
x=5
Step-by-step explanation:
Keywords
quadratic equation, discriminant, complex roots, real roots
we know that
The formula to calculate the <u>roots</u> of the <u>quadratic equation</u> of the form 
is equal to
where
The <u>discriminant</u> of the <u>quadratic equation</u> is equal to
if 
----> the <u>quadratic equation</u> has two <u>real roots</u>
if 
----> the <u>quadratic equation</u> has one <u>real root</u>
if 
----> the <u>quadratic equation</u> has two <u>complex roots</u>
in this problem we have that
the <u>discriminant</u> is equal to 
so
the <u>quadratic equation</u> has two <u>complex roots</u>
therefore
the answer is the option A
There are two complex roots
Answer:
The computation of the given question is shown below:-
Total Contributions = Monthly contribution + Amount invested in Ferdinand’s 401(k)
= $250 + $125
= $375
1. Future Value = PMT [((1 + r)n - 1) ÷ r
Future value = 375 × ((1 + 0.03 ÷ 12) × 12 × 40 - 1) ÷ (0.03 ÷ 12)
= $347,272
2. Ferdinand deposit = Given Amount × Total number of months in a year × Number of years
= $250 × 12 Months × 40 Years
= $120,000
3. The Amount put in by the employer = 50% of $250 ×Total number of months in a year × Number of years
= $125 × 12 Months × 40 Years
= $60,000
4. Interest = Future value - Ferdinand deposit - The Amount put in by the employer
= $347,272 - $120,000 - $60,000
= $167,272
Step-by-step explanation:
