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4 years ago

Correct answers only!

Mathematics

1 answer:

saveliy_v [14]4 years ago

5 0

Answer:

1180.12

Step-by-step explanation:

p= 4000

r = 9% =0.09

t =3

plug in into B = p(1 + r)^t

B = 4000(1 + 0.09)^3

B = 4000(1.09)^3

B =5180.116 round to the 2 decimals

B = 5180.12

make the difference between B, the balance (final amount) and p, the principal (starting amount) = 5180.12-4000 =1180.12

Read more on Brainly.com - brainly.com/question/16685853#readmore

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ollegr [7]

Answer:A

Step-by-step explanation:

There is a pattern where every two days the previous log is multiplied by three. If you divide 3 by 2 you get 1.5 this is the increase per one day so just multiply day 6 by 1.5 to get the answer for day 7.

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3 years ago

Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12

geniusboy [140]

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4 years ago

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Nastasia [14]

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Step-by-step explanation:

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3 years ago

1/(x-1)x+1/x(x+1)+...+1/(x+9)(x+10)=11/12

nata0808 [166]

Notice that

$\dfrac1{(x-1)x} = \dfrac1{x-1} - \dfrac1x \\\\ \dfrac1{x(x+1)} = \dfrac1x - \dfrac1{x+1} \\\\ \vdots \\\\ \dfrac1{(x+9)(x+10)} = \dfrac1{x+9} - \dfrac1{x+10}$

That is, the n-th term (where n = -1, 0, 1, …, 9) in the sum on the left side has a partial fraction decomposition of

$\dfrac{1}{(x+n)(x+n+1)} = \dfrac1{x+n} - \dfrac1{x+n+1}$

and in the sum, some adjacent terms will cancel and leave you with

$\dfrac1{(x-1)x} + \dfrac1{x(x+1)} + \cdots + \dfrac1{(x+9)(x+10)} = \dfrac1{x-1} - \dfrac1{x+10} = \dfrac{11}{12}$

Now solve for x, bearing in mind that we cannot have x = 0, -1, -2, …, -10 :

$\dfrac1{x-1} - \dfrac1{x+10} = \dfrac{11}{12}$

Combine the fractions on the left side:

$\dfrac{(x+10)-(x-1)}{(x-1)(x+10)} = \dfrac{11}{(x-1)(x+10)} = \dfrac{11}{12}$

Then we must have

$(x-1)(x+10) = x^2 + 9x - 10 = 12 \implies x^2+9x-22 = (x+11)(x-2) = 0$

so that either x = 2 or x = -11.

4 0

3 years ago

Et f(x) = x2 + 6 and g(x) g(x) x+8/x . Find ( g o f)( -7)

earnstyle [38]

Answer:

Step-by-step explanation:

A function composition is where one function is substituted within another function and is written g(f(x)). Here we will substitute f(x) into g(x). For g(f(-7)), we substitute -7 for x.

$\frac{x^2+6+8}{x^2+6}$

Now substitute -7 for x.

$\frac{x^2+6+8}{x^2+6} = \frac{(-7)^2+6+8}{(-7)^2+6}=\frac{49+6+8}{49+6}=\frac{63}{55}$

6 0

4 years ago