| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
Bob loaned April $900 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $972 | |
| $909 | |
| $927 | |
| $954 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $900
i = 0.08 x $900
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $900 + $72Frank loaned Charlie $500 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $35 | |
| $104 | |
| $24 | |
| $22 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $500
i = 0.07 x $500
i = $35
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 68 | |
| 61 | |
| 63 | |
| 53 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61
What is (x5)4?
| x9 | |
| 5x4 | |
| x20 | |
| x |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x5)4Convert 567,000 to scientific notation.
| 5.67 x 106 | |
| 56.7 x 104 | |
| 5.67 x 10-4 | |
| 5.67 x 105 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
567,000 in scientific notation is 5.67 x 105