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DaniilM [7]
2 years ago
10

Write the word sentence as an inequality -5/9 is no less than 5 times a number k. An inequality is

Mathematics
1 answer:
Stolb23 [73]2 years ago
8 0

Answer:

-5/9 ≥ 5k

Step-by-step explanation:

no less than means greater than or equal to because -5/9 is the lowest it can go (nothing less than), meaning that number or higher. 5 times a number k is just 5 times k, which is 5k to the inequality is

-5/9 ≥ 5k

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Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual
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The correct option is;

(f) 7.6%

Step-by-step explanation:

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The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually =  1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}

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A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P

The amount Tom has after 8 years ≈ 1.993·P

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The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

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