Ask question

Ask question

All categories

Svetllana [295]

3 years ago

7

What is the solution of 2x^2+8=x^2-16

1 answer:

AfilCa [17]3 years ago

8 0

Answer:

x = -12

Step-by-step explanation:

2x^2 + 8 = x^2 - 16

2x + 2x + 8 = x + x - 16

4x + 8 = 2x - 16

-2x -2x

2x + 8 = -16

-8 -8

2x = -24

---- ------

2 2

x = -12

You might be interested in

If f(x)=3x+2, find f(f^-1(14))

krek1111 [17]

F(x) = 3x + 2x = 3f-1(x) + 2x - 2 = 3f-1(x)(x - 2)/3 = f-1(x)(14 - 2)/3 = f-1(14)12/3 = f-1(14)4 = f-1(14) f(f-1(14)) = f(4)f(4) = 3(4) + 2f(4) = 12 + 2f(4) = 14 A function and its inverse are inverse operations, like addition and subtraction. They undo each other. f(f-1(x) = x

6 0

3 years ago

Read 2 more answers

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 <em>future value FV.</em>

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

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10

<u>End of year 2 (capital + interest + new deposit)</u>

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

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

<u>End of year 3 (capital + interest + new deposit)</u>

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

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 <em>sum of a geometric sequence </em>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 <em>present value PV</em> 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

Len [333]

Answer:

B. 30

Step-by-step explanation:

A line is 180 degrees, so when we have 100, we subtract that from 180 to get the interior angle of 80.

A triangle has a sum of 180, so we just subtract 80 and 70 from 180 to get 30.

Hope this helps

5 0

3 years ago

32 is 16% of what number

Alecsey [184]

The answer is 200. 1% is equal to 2, so 100% is equal to 200.

7 0

3 years ago

Read 2 more answers

Help with question 1 & 2 pls .

Anastasy [175]

Answer:

1. (c)

2. (c)

Step-by-step explanation:

7 0

3 years ago