Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?

Method used:-

Completing the square method.

Steps :-

[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]

Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.

[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]

Simplify the equation. You'll get a +ve & -ve value.

[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]

Simplify it further.

[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]

The solutions are :-

x = 0 & x = -1

______

Hope it helps ⚜

Answer:

9/10 < 7/5

Step-by-step explanation:

7/5 = 14/10

9/10 < 14/10

Answer:

7/5 is greater than 9/10

Step-by-step explanation:

7/5 = 14/10

Answer:

15

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Each number you're adding 12.

24 + 12 = 36, 36 + 12 = 48,. etc..

B

A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12

The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

The corresponding angles in the image given are: ∠2 and ∠3.

Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.

In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Answer: D hope this helps

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

Answer: b because i did the eqaution on paper

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

f(x)=(x-2)^2+1

Answer:

what kind kind of prob

Step-by-step explanation:

dp you have a Story

Answer:

there is no picture to explain your qustion and im confused

Step-by-step explanation:

The income tax rate must be 29%.

Given that,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

If the Thai government wants to raise $70 billion in tax revenue,

We have to find,

The approximately where should it set the income tax rate?

According to the question,

Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.

[tex]\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810[/tex]

If the Thai government wants to raise $70 billion in tax revenue,

Then,

The income tax rate is,

[tex]\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent[/tex]

Hence, The income tax rate must be 29%.

For more details refer to the link given below.

https://brainly.com/question/16016455

Answer:

c

Step-by-step explanation:

Trust me, I got 100%

Answer:

the star is quadrant 2

Step-by-step explanation:

Answer:

The purple star

i do not know but its something around number

Answer:

x-intercepts(-7,0)

y-intercepts(0,-2)

Step-by-step explanation:

Step-by-step explanation:

The x-intercept is (-7,0)

The y-intercept is (0,2)

Answer: I think its C

Step-by-step explanation:

Answer:

1400

Step-by-step explanation:

two ways to do this

1, find the area of the shaded place.

2, find the area of the whole thing, subtract by the area of the corners.

          this way is easier so its what ill do

whole box is 60*30=1800

3 corners are 10*10=100    15*10=150    and   15*10=150

1800-150-150-100 = 1400

or you could do it the first way

bigger box is 20*45=900

long box is 10*35=350

small box is 15*10=150

900+350+150=1400

Answer:

M equals 9.3

Step-by-step explanation:

To get m alone add 4.2 to each side

Answer: Bro. Thats not telling us anything

Step-by-step explanation:

Answer:

-12z + 2

Step-by-step explanation:

yeah-ya........ right???

Answer:

(25 months 109 weeks)+(765 days)=6.26685869years.May this help you

Answer:

I don't know what you want to know so I assume you want to find out his miles in minutes:

Divide 40 with 60

Which is 2/3

So Max rode 2/3 miles in a minute

Step-by-step explanation:

Answer:

4 hours if going ten mph and 2 hours if going 20 mph

Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

Using the range concept, it is found that the greatest element in the range of this relation is 9.

Hence, the range is: {0, 5, 8, 9}.

For more on range of data-sets, you can check https://brainly.com/question/10891721

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

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if you want a third point, just ask!

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Hope this helps.

-

<3

Answer:

65.4 degrees

Step-by-step explanation:

cos(x) = 5/12

x = arccos(5/12), which is approximately  65.3756816 (on calculator). to the nearest tenth that is 65.4