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Answer:
Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40
Marie is $10 000 richer
Step-by-step explanation:
Albert
(a) $1000 at 1.2 % compounded monthly
A = 1000(1 + 0.001)¹²⁰ = $1127.43
(b) $500 losing 2%
0.98 × 500 = $490
(c) $500 compounded continuously at 0.8%
(d) Balance
Total = 1127.43 + 490.00+ 541.64 = $2159.07
Marie
(a) 1500 at 1.4 % compounded quarterly
A = 1500(1 + 0.0035)⁴⁰ = $1724.99
(b) $500 gaining 4 %
1.04 × 500 = $520.00
(c) Balance
Total = 1724.99 + 520.00 = $2244.99
Hans
$2000 compounded continuously at 0.9 %
Max
(a) $1000 decreasing exponentially at 0.5 % annually
A = 1000(1 - 0.005)¹⁰= $951.11
(b) $1000 at 1.8 % compounded biannually
A = 1000(1 + 0.009)²⁰ = $1196.29
(c) Balance
Total = 951.11 + 1196.29 = $2147.40
Marie is $ 10 000 richer at the end of the competition.
Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
<h3>What are Units conversions?</h3>Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,
Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69
= €398.31
Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,
The amount that is left with Kari,
Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,
Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
Learn more about Units conversion: