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Artyom0805 [142]
2 years ago
7

QUICK PLEASE. Calculate the final amount if $10 000 invested for 6 years at 4% compounded quarterly.

Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

<h3>Compound interest</h3>

The formula for calculating the compound interest is given as:

A = P(1+r/n)^nt

Given the following parameters

A = 10000(1+0.04/4)^4(6)

A = 10000(1+0.01)^24

A = 10000(1.01)^24

A = 1.2697(10,000)

A = $12,697

Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

Learn more on compound interest here: brainly.com/question/24924853

#SPJ1

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Line c has an equation of y = 4x + 9. Line dis parallel to line c and passes through (-4,-4).
natta225 [31]

Answer:

\large\boxed{\sf y = 5x +16}

Step-by-step explanation:

Here it is given that a line c has a equation of ,

\sf\qquad\longrightarrow y = 4x + 9

And there is another line d which is parallel to line c and passes through the point (-4,-4) . And we need to find out the equation of the line .

Firstly we know that the slope of two parallel lines is same . So on comparing the given line to the slope intercept form of the line which is y = mx + c , we have ;

\sf\qquad\longrightarrow m = 4

Therefore the slope of the parallel line will be ,

\sf\qquad\longrightarrow m_{||}= 4

On using the point slope form of the line , we have ;

\sf\qquad\longrightarrow y - y_1 = m(x-x_1)\\

Substitute the values ,

\sf\qquad\longrightarrow y - (-4) = 5\{ x -(-4)\}

Simplify ,

\sf\qquad\longrightarrow y +4 = 5(x +4)

Open the brackets ,

\sf\qquad\longrightarrow y + 4 = 5x + 20

Subtract 4/on both sides ,

\sf\qquad\longrightarrow y = 5x +20-4

Simplify ,

\sf\qquad\longrightarrow \pink{ y = 5x + 16}

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equation= y-y¹=m(x-x¹)

= y-4= 3(x-3)

y-4= 3x-9

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