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3 years ago

3xxyyy using exponents

Mathematics

2 answers:

olasank [31]3 years ago

5 0

Just count the amount of each letter and write it as a exponent = 3x²y³

djyliett [7]3 years ago

3 0

Texponent tels how many times it's repeated

so the x is 2 times y is 3 times

3x²y³

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When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

3 years ago

Pleeeaaaase brainliest to first person

Sergeeva-Olga [200]

Answer:

4•8 feet

Step-by-step explanation:

Distance= first floor × second ÷ escalator

Distance= 12feet × 12feet ÷ 30 feet

= 12×12÷30

= 4•8 feet

8 0

3 years ago

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2/4+3/8. how do I calculate this

solniwko [45]

Well, 2/4 is equivalent to 4/8. So you can turn the 2/4 into 4/8 and then add 4/8 plus 3/8.

6 0

3 years ago

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(5x^2+20x) ÷(x+4) divide, it's really important, I thank you for the people who help me in this :)

Sergio [31]

Answer:

Step-by-step explanation:

Given expression: $\frac{5x^2+20x}{x+4}$

Take the common number 5 outside in the numerator.

$\frac{5x^2+20x}{x+4}=\frac{5(x^2+4x)}{x+4}$

Now, take x common in both the terms in numerator.

$\frac{5(x^2+4x)}{x+4}=\frac{5x(x+4)}{x+4}$

Cancel out the common factor in the both numerator and denominator.

$\frac{5x(x+4)}{x+4}=5x$

Hence, the answer is 5x.

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3 years ago

Find the area of the trapezoid by composing into rectangles or decomposing into triangles or other shapes as needed. Show your w

mash [69]

So I decided to make a visual aid for this problem.

All of the work is outlined in the image.

Your final answer is 109.

Hope that helps!

7 0

3 years ago