To find the original number where 65% equals 1105:
0.65x = 1105
x = 1105 ÷ 0.65
x = 1700... hence, the original number is 1700.
Calculating 82% of 1700:
0.82 * 1700 = 1394 <== this is your answer.
For this query, the time presented seems unclear to me. I understand that the rate of return is determined by total return over the investment. Assuming Matt received $400 as dividends without reinvesting them into additional shares, his total return across two years amounted to $500. Conversely, if the dividends were reinvested into the stock—something that typically happens with a 401(k) or IRA—his ROI would render a mere 6% due to only a $100 gain on a $1500 investment. In an actual market scenario, it’s likely that Matt would have experienced about a 5% return on a solid stock, while Bella would have had approximately 0.05% from a savings account.
I hope this was helpful!;)
Answer:
89
Step-by-step explanation:
Given that
2 O, 2 T and 1 M
Now based on this, the following arrangements exist
1
Three arrangements i.e. {M,T,O}
2
XX or XY
XX in 2C1 = two arrangements i.e. {OO or TT}
XY in 3C2 × 2! = six arrangements
3
XXY or XYZ
XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve arrangements
XYZ in 3C3 × 3! = six arrangements
4
XXYY or XXYZ
XXYY = 4! ÷ (2! × 2!) = six arrangements
XXYZ in 2C1 × 4! ÷ 2! = twenty four arrangements
5
= 5! ÷ (2! ×2!)
= 120 ÷ 4
= 30
Thus, the overall total is
= 3 + (2 +6)+ (12 +6) + (6 +24) + 30
= 89
