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3 years ago

Rewrite the slope intercept equation of the line y=1/3x-2 in standard form

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

y=1/3 x - 2
3y = x - 6
x - 3y = 6 ...this is standard form

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In the expretion7to the third power-4*3+8 the firstt operation is

xxMikexx [17]

Answer:

7³

Step-by-step explanation:

Using PEMDAS, we see that E (which stands for exponents) comes before M (which stands for multiplication) and A (which stands for addition) so the first operation you should do is 7³.

8 0

2 years ago

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

2 years ago

What is 12/88 in simplest form

-BARSIC- [3]

The answer is 3/22
hope I heped

4 0

3 years ago

Read 2 more answers

What is the height of a Isosceles Triangle if the sides are (4,4,3) HELP ASAP

Sati [7]

The height would be 3.7
Because it's an isosceles triangle, you and I know that the sides are 4 and the base is 3. We also know that to find the height we need to use Pythagorean's theorem. Therefore, h square + 1.5 square = 4 square (we get 1.5 from dividing 3 to get the base). Solve it and the height is 3.7

5 0

2 years ago

Evaluate the expression 60-3 to the 2nd power (8) + 11

astraxan [27]

Answer: ? 60-3^2 is 60-9 so that’s 51 and 8+11 is 19

Step-by-step explanation:

5 0

3 years ago