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IrinaVladis [17]
3 years ago
10

Halla dos numeros consecutivos cuyo producto sea 4224.

Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer:

64,98*63.98

Step-by-step explanation:

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Geometry. Find the angle
lisabon 2012 [21]

Answer:

x = 10°; Angle A = 84°

Step-by-step explanation:

Angle A + Angle B = 180

5x + 34 + 2x + 76 = 180

7x + 110 = 180

7x = 70

x = 10

Angle A: 5(10) + 34 = 50 + 34 = 84°

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3 years ago
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Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t
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To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

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3 years ago
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What is the measure?
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The answer for this problem: Option C.
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What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl
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Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

A(t) = A(0)(1+r)^t

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that r = 0.05, and thus:

A(t) = A(0)(1+r)^t

A(t) = A(0)(1+0.05)^t

A(t) = A(0)(1.05)^t

Time for the balance to triple?

This is t for which A(t) = 3A(0). So

A(t) = A(0)(1.05)^t

3A(0) = A(0)(1.05)^t

(1.05)^t = 3

\log{(1.05)^t} = \log{3}

t\log{1.05} = \log{3}

t = \frac{\log{3}}{\log{1.05}}

t =  22.52

It takes 22.52 years for the balance to triple in value.

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3 years ago
A jewelry supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 57% markup. Find
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