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2 years ago

12/13+(-1/13 complete the expressions to find the sum or difference..

Mathematics

1 answer:

Afina-wow [57]2 years ago

6 0

Answer:

11/13

Step-by-step explanation:

$\frac{12}{13}+ (-\frac{1}{13} )$
$\frac{12}{13} - \frac{1}{13}$
$\frac{11}{13}$

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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

Brums [2.3K]

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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Given f(x)=cos c and g(x)=cot x, what are the domain and range of f(g(x))?

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Answer:

Alternative C is the correct answer

Step-by-step explanation:

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