Solve the following problems.
1. How long does it take an investment of Php 5 000 to double, if it is invested at 5% interest compounded quarterly?
2. The number of victims of COVID-19 is increasing at a rate of 6% per week. If 10 000 persons are currently infected, in how many days can we expect 45 000 to have COVID-19?
3. Maria bought 1.2 million worth of car. If the depreciation rate is 15% a year, how many years will it be half of its original price?
1. How long does it take an investment of Php 5 000 to double, if it is invested at 5% interest compounded quarterly?
2. The number of victims of COVID-19 is increasing at a rate of 6% per week. If 10 000 persons are currently infected, in how many days can we expect 45 000 to have COVID-19?
3. Maria bought 1.2 million worth of car. If the depreciation rate is 15% a year, how many years will it be half of its original price?
Answers & Comments
Answer:
Answer:
1. \frac{3}{8}
8
3
2. \frac{3}{35}
35
3
3. \begin{gathered}\frac{56}{99}\\\end{gathered}
99
56
4. \frac{30}{91}
91
30
5. \frac{32}{85}
85
32
Explanation:
There are 3 simple steps to multiply fractions
1. Multiply the top numbers (the numerators).
2. Multiply the bottom numbers (the denominators).
3. Simplify the fraction if needed.
EXAMPLES:
1. \frac{1}{2}
2
1
x \frac{2}{10}
10
2
Step 1: Multiply the top numbers (the numerators)
1 x 2 = 2 (2 is the new numerator)
Step 2: Multiply the bottom numbers (the denominators)
2 x 10 = 20 (20 is the new denominator)
Step 3: Simplify
Since \frac{2}{20}
20
2
is the new fraction, it can be simplified as \frac{1}{10}
10
1
Answer: \frac{1}{2}
2
1
x \frac{2}{10}
10
2
= \frac{1}{10}
10
1
2. \frac{1}{3}
3
1
x \frac{5}{15}
15
5
Step 1: Multiply the top numbers (the numerators)
1 x 5 = 5 (5 is the new numerator)
Step 2: Multiply the bottom numbers (the denominators)
3 x 15 = 45 (45 is the new denominator)
Step 3: Simplify
Since \frac{5}{45}
45
5
is the new fraction, it can be simplified as \frac{1}{9}
9
1
Answer: \frac{1}{3}
3
1
x \frac{5}{15}
15
5
= \frac{1}{9}
9
1
3. \frac{2}{3}
3
2
x \frac{2}{8}
8
2
Step 1: Multiply the top numbers (the numerators)
2 x 2 = 4 (4 is the new numerator)
Step 2: Multiply the bottom numbers (the denominators)
3 x 8 = 24 (24 is the new denominator)
Step 3: Simplify
Since \frac{4}{24}
24
4
is the new fraction, it can be simplified as \frac{1}{6}
6
1
Answer: \frac{2}{3}
3
2
x \frac{2}{8}
8
2
= \frac{1}{6}
6
1
I hope this helps!
#BrainlyEveryday
Answer:
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