1. Problem 1: Number of tourists difference between 1993 and 2000.
The number of tourists decreases by 10% per year starting from 1990 with 12000 tourists.
Formula: $N_t = N_0 \times (1 - r)^t$ where $N_0$ is initial number, $r$ is rate of decrease, $t$ is years after 1990.
Calculate tourists in 1993: $t=3$,
$$N_{1993} = 12000 \times (1 - 0.10)^3 = 12000 \times 0.9^3 = 12000 \times 0.729 = 8748$$
Calculate tourists in 2000: $t=10$,
$$N_{2000} = 12000 \times 0.9^{10} = 12000 \times 0.3486784401 \approx 4184$$
Difference:
$$8748 - 4184 = 4564$$
2. Problem 2: Ziad's bank account in 2000.
Ahmed's 2000 amount: 120000 EGP.
Ahmed's 2010 amount after 20% increase:
$$120000 \times 1.20 = 144000$$
Ziad's 2010 amount equals Ahmed's 2010 amount: 144000.
Ziad's amount decreased by 10% from 2000 to 2010, so:
$$Z_{2010} = Z_{2000} \times 0.90 = 144000$$
Solve for $Z_{2000}$:
$$Z_{2000} = \frac{144000}{0.90} = 160000$$
Answer: 160000 EGP (option B).
3. Problem 3: Tony's salary after two years.
Initial salary: 4600.
After 10% increase first year:
$$4600 \times 1.10 = 5060$$
After 3% decrease second year:
$$5060 \times 0.97 = 4908.2$$
Answer: 4908.2 (option C).
4. Problem 4: Price of cheese in 2012.
Original price 2010: 20.
Increase 7% in 2011:
$$20 \times 1.07 = 21.4$$
Decrease 8% in 2012:
$$21.4 \times 0.92 = 19.688$$
Answer: 19.688 (option B).
5. Problem 5: Price Amira paid for the car.
Lucas bought for 3500.
Lucas lost 12% selling to Brad:
$$3500 \times 0.88 = 3080$$
Brad gained 5% selling to Amira:
$$3080 \times 1.05 = 3234$$
Answer: 3234.
6. Problem 6: Myriam's bank account growth.
Initial deposit: 10000.
First 3 years at 5% compounded annually:
$$10000 \times 1.05^3 = 10000 \times 1.157625 = 11576.25$$
Next years at 8% compounded annually (number of years not specified, so formula given):
$$A = 11576.25 \times (1.08)^n$$
where $n$ is number of years after first 3 years.
Final answers:
1) 4564 tourists more in 1993 than 2000.
2) Ziad's 2000 bank account: 160000 EGP.
3) Tony's salary after 2 years: 4908.2.
4) Cheese price in 2012: 19.688.
5) Amira paid: 3234.
6) Myriam's account after 3 years: 11576.25, then grows at 8% compounded annually.
Percentage Changes
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