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bonufazy [111]
3 years ago
6

Colin invests £4800 into his bank account.

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

$5903.39

Step-by-step explanation:

This can be solve using compound interest formula. The formula is:

F=P(1+r)^t

Where

F is the future amount (what we are looking for)

P is the present amount (which is 4800)

r is the rate of compound interest per year, in decimal (3% per year, 3/100 = 0.03)

t is the time in years ( t = 7)

Now we substitute these values into the formula and find F:

F=P(1+r)^t\\F=4800(1+0.03)^7\\F=4800(1.03)^7\\F=5903.39

So, Colin would have $5903.39 after 7 years, in his account.

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(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = \frac{16}{9}

4ˣ⁻¹ = 49 / 4

<h3>How to simplify an expression?</h3>

The expressions can be simplified as follows;

(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }

Hence,

(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} }

Therefore,

(\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} }

Finally,

(\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} } = (\frac{4}{3} )^{3}

(\frac{4}{3} )^{3} = \frac{16}{9}

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4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ²  = 2²ˣ / 2² = (2ˣ)² / 2²

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learn more on simplification here: brainly.com/question/17513857

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