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klemol [59]
3 years ago
8

Find all the real cube roots of 0.000064

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0
\sqrt[3]{0.000064}=  \sqrt[3]{ \frac{64}{1,000,000} }= \sqrt[3]{ \frac{4^3}{100^3} }=  \sqrt[3]{ (\frac{4}{100})^3 }= \frac{4}{100}=0.04
laiz [17]3 years ago
6 0

Answer:

\sqrt[3]{\frac{64}{1000000}} = 0.04

Step-by-step explanation:

Given : 0.000064.

To find : find all the real cube roots.

Solution : We have given that 0.000064.

Convert it in to fraction form

0.000064 = \frac{64}{1000000}.

Taking cube root

\sqrt[3]{\frac{64}{1000000}}

We can write 64 as 4 *4 * 4

1000000 as 100 * 100 * 100

\sqrt[3]{\frac{4 * 4 *4}{100 * 100 * 100}}

Then  \{\frac{4}{100}} = 0.04

Therefore,  \sqrt[3]{\frac{64}{1000000}} = 0.04

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Mary invests £12,000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment
Lesechka [4]

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:

P = Principal / initial amount

R = rate of interest per cent per year

T = number of years

A = final amount at the end of T years

Then:

A = P*(1 + R/100)^2

In our example:

P = £12000

R = 1.5 per cent per year

T = 2 years

Thus:

A = 12000*(1 + 1.5/100)^2

  = 12000*(1 + 0.015)^2

  = 12000*(1.015)^2

   = 12000*(1.030225)

   = 12362.7

Value of investment after two years = £12362.7

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