Answer:
$1,085
Step-by-step explanation:
Data provided in the question:
Amount inherited and invested i.e principle = $31,000
Annual return for Mark on savings account = 2.9% = 0.029
Annual return for Charles on CD = 6.4% = 0.064
Now,
The Interest earned by Mark in 1 year = principle × Rate × Time
= $31,000 × 0.029 × 1
= $899
The Interest earned by Charles in 1 year = principle × Rate × Time
= $31,000 × 0.064 × 1
= $1,984
Therefore,
More Money that Charles have than Mark = $1,984 - $899
= $1,085
Answer:
Step-by-step explanation:
<u>The distance is the difference in top and bottom positions:</u>
- 4 - (-9) = 4 + 9 = 13 inches
A. Always
These lines<span> are </span>perpendicular<span> since their slopes are negative reciprocals.</span>
Answer:
-499,485.
Step-by-step explanation:
We can transform this to an arithmetic series by working it out in pairs:
6^2 - 7^2 = (6-7)(6+7) = -13
8^2 - 9^2 = (8-9)*8+9) = -17
10^2 - 11^2 = -1 * 21 = -21 and so on
The common difference is -4.
The number of terms in this series is (998 - 6) / 2 + 1
= 992/2 + 1 = 497.
Sum of n terms of an A.S:
= n/2 [2a1 + (n - 1)d
Here a1 = -13, n = 497, d = -4:
Sum = (497/2)[-26 - 4(497-1)]
= 497/2 * -2010
= -499,485.
