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enot [183]
4 years ago
11

Principal, $3000; annual interest rate, 5.1%; time, 2 years The balance after to years is

Mathematics
2 answers:
Serjik [45]4 years ago
8 0

now, this is assuming "simple interest".


\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 5.1\%\to \frac{5.1}{100}\dotfill &0.051\\ t=years\dotfill &2 \end{cases} \\\\\\ A=3000[1+(0.051)(2)]\implies A=3000(1.102)\implies A=3306

IrinaK [193]4 years ago
4 0

First you have to know the formula for this question which is I = PRT. plug it in I= 3000 times 0.051 times 2 which gets the answer to youre question which is $306.

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Is the solution of this equation extraneous?
UkoKoshka [18]

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

\sqrt{x+7} - 1 = x  ( add 1 to both sides )

\sqrt{x+7} = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : \sqrt{-3+7} - 1 = \sqrt{4} - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : \sqrt{2+7} - 1  = \sqrt{9} - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

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3 years ago
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Murljashka [212]

Answer:

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Step-by-step explanation:

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8 - 14 = -6

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3 years ago
Find the area of the triangular prism
alisha [4.7K]

Answer:

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Step-by-step explanation:

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Please help! [99points]
Leto [7]
Hi!

The answer is B. Linear function.

A linear function is when the change in <em>y </em>and <em>x</em><em> </em>is constant. For example, let's make some <em>x</em> and <em>y</em> values. 

x 1, 2, 3, 4, 5
y 2, 4, 6, 8, 10

When <em>x</em> increases by 1, <em>y</em> increases by 2. The change in <em>x</em> and <em>y </em>is constant, therefore, that is a linear function. 

x 6, 9, 13, 26
y 3, 5, 10, 11

There is no pattern in those numbers, therefore this is not a linear function.

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EleoNora [17]

Step-by-step explanation:

Hi there!

From the question;

The slope of the line is 5/10 or 0.5.

Also the equation of the line passes through the point (0,5).

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So, use the formula here and keep the values;

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