2

4

7

÷

1

3

6

=

1

5

7

Explanation:

When you divide mixed fractions you first convert them to improper fractions. Further, dividing by a number

a

b

is equivalent to multiplying by its reciprocal i.e. for dividing by

a

b

, you multiply by

b

a

i.e. numerator and denominators reversed. Hence,

2

4

7

÷

1

3

6

=

2

×

7

+

4

7

÷

1

×

6

+

3

6

=

18

7

÷

9

6

=

18

7

×

6

9

=

2

18

7

×

6

1

9

=

2

×

6

7

=

12

7

=

1

×

7

+

5

7

=

1

5

7

**Step-by-step explanation:**

x² + x - 2 = 0

x² + 2x - x - 2 = 0

x(x + 2) - 1(x + 2) = 0

(x + 2)(x - 1) = 0

x + 2 = 0 and x - 1 = 0

x = -2 and x = 1

So, f(x) has no solution if x = -2 or 1

Domain = {x | x ≠ 2 and x ≠ 1}

**Answer:**

53.51 years

**Step-by-step explanation:**

FV = PV e⁽ⁿˣ⁾

FV = Future Value = $5000

PV = Present Value = $1500

n = Interest Rate = 2.25%

x = time in years = ?

e = mathematical constant = 2.7183

So,

5000 = 1500 e⁽⁰°⁰⁰²⁵ˣ⁾

50 / 15 = e⁽⁰°⁰⁰²⁵ˣ⁾

㏑ (3.3333) = 0.0225x ㏑ (2.7183)

1.2040 = 0.0225x

x = 53.51 year

So, If compounded continuously at an APR of 2.25% the amount invested in an account of $1500 will accumulate to $5000 in 53.51 years.

**Answer:**

-18

**Step-by-step explanation:**

Put -195 as y and solve

-195 = 9x - 33

Add 33 to both sides

-162 = 9x

Divide both sides by 9

-18 = x

Well you see it is a really simple one to do x should be 9 trust me its 9 even tho it dont sound correct