$2,000 at 4% for 24 months. Find the interest earned

What is the inequality of - r/4 < 8 sorry I couldn't put the line under the greater or less sign.

USPshnik [31]

So -r/4<8
treat it as kind of an equal sign so do the sam eto both sides

multily both sdies by 4 to gert rid of fraciton

-r<32
multiply by -1
remember when multipy by -1 flip the sign

r>-32

6 0

3 years ago

∠xangle, x and ∠ y ∠yangle, y are supplementary angles. ∠ y ∠yangle, y measures 13 9 ∘ 139 ∘ 139, degrees. What is the measure o

Elena-2011 [213]

Answer:

41°

Step-by-step explanation:

Supplementary angles are angles that has their sum total of angles as 180°.

If two angles ∠x and ∠ y are supplementary, this means

∠x+∠y = 180° ... (1)

Since ∠y = 139°, to get ∠x, we will substitute the value of ∠y in equation 1 to have;

∠x + 139° = 180°

∠x = 180°-139°

∠x = 41°

Therefore the measure of ∠x is 41°

4 0

3 years ago

Read 2 more answers

The balance on Matthew’s gift card is $228. His card was debited by $178 from purchasing several items. What is the remaining ba

Natasha_Volkova [10]

Answer:

50 dollars

Step-by-step explanation:

228-178=50

5 0

2 years ago

The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).

Serjik [45]

Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

7 0

3 years ago

Numbers that add to -0.5 and multiply to 1

Oliga [24]

Short Answer
There are two numbers
x1 = -0.25 + 0.9682i <<<< answer 1
x2 = - 0.25 - 0.9582i <<<< answer 2

I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5
y = - 0.5 - x (1)
xy = 1 (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1 Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0 Order these by powers
-x^2 - 0.5x -1 = 0 Multiply though by - 1
x^2 + 0.5x + 1 = 0 Use the quadratic formula to solve this.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 1
b = 0.5
c = 1

$\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}$

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out. Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1

7 0

3 years ago