Pete is 4 times the age of Myrtle. 2 years ago, Pete was 8 times as old as Myrtle. How old are they?

Mathematics

1 answer:

otez555 [7]2 years ago

7 0

Answer:

one How old is Myrtle to being with?

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Martin is offered an investment where for $6,000 today, he will receive $6,180 in one year. He decides to borrow $6,000 from th

nirvana33 [79]

Answer:

The correct answer is D. 3 % p. a .

Step-by-step explanation:

For the investment offered, Martin is supposed to get $180 as an interest ($6,180 - $6,000).

Now Martin is borrowing $6,000 from the bank to make this investment. He should be charged $180, so that he breaks even on investment.

Thus using the formula:

Interest= Principal × Time ( per annum) × $\frac{Interest rate}{100}$ ; (Here simple and compound interest are same as the sum borrowed is to be charged for a single year)

⇒ 180 = $\frac{6000}{100}$ × 1 × Interest rate

⇒ 180 = 60 × Interest rate

⇒ Interest rate = 3

Thus the correct answer is 3% per annum.

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What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Sup

zhannawk [14.2K]

Answer:

$- \frac{3}{4} \times \frac{p^{8} }{q^{3} }$

Step-by-step explanation:

We have to find the quotient of the following division, $\frac{15p^{-4}q^{-6} }{- 20p^{-12} q^{-3}}$ .

Now, $\frac{15p^{-4}q^{-6} }{- 20p^{-12} q^{-3}}$

= $- \frac{3}{4} p^{[- 4 - (- 12)]} q^{[-6 - (- 3)]}$ {Since all the terms in the expression are in product form, so we can treat them separately}