Lili has saved $2,500 money from her part time job at a bakery. Since she will not need this money for a few years, she decides to put the money in a 3-year CD (Certificate of Deposit) at a local credit union. The credit union offers Lili 2.75% APR, compounded quarterly. How much will Lili's CD be worth at the end of the 3 years?

Answer:

Step-by-step explanation:

Given  x^2 - 16x + 60 = -12

Using the completing the square method to find x;

subtract 60 from both sides

x2 - 16x + 60-60 = -12-60

x2 - 16x  = -72

Add square of the half of the coefficient of x to both sides

x2 - 16x + (1/2(-16))²  = -72 +  (1/2(-16))²

x^2 - 16x +64 = -72+64

(x-8)² = -8

Take the square root of both sides

√(x-8)² = √-8

x - 8 = ±√8i

x =  ±√8i+8

x =  ±2√2i+8

The solution of the given equation is:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

Given that:

Equation:  [tex]x^2 - 16x + 60 = -12[/tex]

Simplify the above equation as:

x² - 16x + 60 = -12

x² - 16x = -12 - 60

x² - 16x = -72

Add 64 to each side of the equation to complete the square.

x² - 16x + 64 = -72 + 64

x² - 16x + 64 = -8

Write x² - 16x + 64 as (x - 8)² since it is a perfect square trinomial.

(x - 8)² = -8

Take the square root of both sides to get the solutions.

[tex]x - 8 = \±\sqrt{-8}\\x = 8\±\sqrt{-8}\\x = 8+\sqrt{-8}\\x = 8-\sqrt{-8}[/tex]

where i is the imaginary unit.

Hence, the value of x are:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

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Answer: 12 defective phones

Steps: Divide 870 by 145.

870 ÷ 145 = 6

6 batches are in this amount. If 1 batch has 2 defective phones, then 6 batches have 12.

Therefore the amount is twelve.

Plz mark brainliest:)

Answer: the third one

Step-by-step explanation: C

Answer:

0

Step-by-step explanation:

Using the trigonometric identity

cotx = [tex]\frac{cosx}{sinx}[/tex]

Given

3cotθ = 2 , then

3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )

3cosθ = 2sinθ ( subtract 3cosθ from both sides )

2sinθ - 3cosθ = 0

Thus

[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]

= [tex]\frac{0}{2sin0+3cos0}[/tex]

= 0

Answer: x=-1

5x+9=4

-9       -9

_______

5x= -5

/5    /5

x= -1

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

[tex]\huge{\pink{Given \: Equation:}}[/tex]

Step 1:

[tex]5x + 9 = 4[/tex]

Step 2:

[tex]⇒5x = 4 - 9[/tex]

Step 3:

[tex]⇒5x = - 5[/tex]

Step 4:

[tex]⇒x = \frac{ - 5}{5} [/tex]

Step 5:

[tex]⇒x = - 1✓[/tex]

[tex]\huge{\blue{Verification:}}[/tex]

Step 1:

[tex]5x+9=4.[/tex]

Step 2:

[tex]⇒5 \times - 1 + 9 = 4[/tex]

Step 3:

[tex]⇒ - 5 + 9 = 4[/tex]

Step 4:

[tex]\red{⇒4 = 4}[/tex]

[tex]\huge{†Hence \: Vertified†}[/tex]

Answer:

One unit right and three units down

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is translated a units right and b units up, its new location is at X'(x + a, y + b) while if a point is translated a units left and b units down, its location is X'(x - a, y - b).

Since point B is located at (0, 2) and translates to B' with coordinates (1, -1), the translation is given as (x + 1, y - 3) that is 1 unit right and 3 unit down.

-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.

Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?

Answer:

I believe the slope is 2/3.

Answer:

First year = 30000

Second year = 12000

Step-by-step explanation:

Given

[tex]Loan = \$42000[/tex]

Represent first year with f and second year with s.

So, we have:

[tex]s + f = 42000[/tex]

and

[tex]f = 3s - 6000[/tex]

Required

Solve for f and S

Substitute 3s - 6000 for f in the first equation.

[tex]s + f = 42000[/tex]

[tex]s + 3s - 6000 = 42000[/tex]

[tex]4s - 6000 = 42000[/tex]

Collect Like Terms

[tex]4s = 42000 + 6000[/tex]

[tex]4s = 48000[/tex]

Solve for s

[tex]s = 48000/4[/tex]

[tex]s = 12000[/tex]

Substitute 12000 for s in [tex]f = 3s - 6000[/tex]

[tex]f = 3 * 12000 - 6000[/tex]

[tex]f = 36000 - 6000[/tex]

[tex]f = 30000[/tex]

Answer:

$4000, $5600 and $7200

Step-by-step explanation:

Let the money be 5x,7x and 9x.

Total collection of money is $16,800

ATQ,

5x+7x+9x=$16,800

21x=$16,800

[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]

So, the values are :

5x=5(800) = $4000

7x=7(800) = $5600

9x=9(800) = $7200

Answer:

c

bc u have to multiple 4 three times if u do b then it’s going to be wrong

Step-by-step explanation:

Answer:

c

bc u have to multiple 4 three times if u do b then it’s going to be wrong

Step-by-step explanation:

Answer:

D. 1

Step-by-step explanation:

If you take any two points (x, y), the slope is found by taking the difference of the y-coordinates and dividing that by the difference of the x-coordinates.

Here, we actually are given 4 points of the form (x, y), so we can just arbitrarily choose any two. I'll just go with the first two: (-2, 0) and (1, 3).

The difference of the y-coordinates is:

3 - 0 = 3

The difference of the x-coordinates is:

1 - (-2) = 3

Dividing these gives:

3/3 = 1

The slope is thus 1, and the answer is D.

~ an aesthetics lover

Answer:

the third one

Step-by-step explanation:

See attachment for math work and answer.

Answer:

-28*F, hope this helps!

Answer:

-28 F

Step-by-step explanation:

please give the other guy brainliest :))))

Answer:

504 * 0.12 = 60.48

Step-by-step explanation:

math

Answer:

its 60.48

Step-by-step explanation:

Convert 12% to a decimal which is 0.12

then do the sum 0.12x504

Answer:

7 = x

Step-by-step explanation:

7 - 2x = x - 14

7 + 14 = x + 2x

21 = 3x

7 = x

Hope this helps!

Answer:

D.  45/8

Step-by-step explanation:

The value of function g (7) is,

⇒ g(7) = 45/8

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

⇒ g(x) = 7/8x - 1/2

Now, Plug x = 7 in above equation,

⇒ g(x) = 7/8x - 1/2

⇒ g(7) = 7/8 (7) - 1/2

⇒ g(7) = 49/8 - 1/2

⇒ g(7) = 49/8 - 4/8

⇒ g(7) = 45/8

Thus, The value of function g (7) is,

⇒ g(7) = 45/8

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Answer: Bella invested $500 in first and $500 in second stock this year.

Step-by-step explanation:

Given: Total principal amount = $1000

Interest = $110

For first year , interest = P x r  , where P= principal , r= rate of interest ( in decimal)

For first bond , interest rate=  15% = 0.15

Let P = x

Interest = 0.15x

For second bond ,  interest rate=  7% = 0.07

Let P = 1000-x

Interest = 0.07(1000-x)=70-0.07x

Now, [tex]0.15x+70-0.07x=110[/tex]

[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]

Also, 1000-x = 1000-500=500

Hence, Bella invested $500 in first and $500 in second stock this year.

Answer:

what is your question here??

Answer: 2

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

Answer:

u' = (-1, -4) , v' = (2, -4), w' = (2, -7)

Step-by-step explanation:

 Option (3) will be the correct construction of the angle bisector.

   Steps to construct an angle bisector are as followed,

Step - 1

Put the compass at the vertex of the angle.

Step - 2

Draw an arc cutting both the arcs at two distinct points.

Step - 3

Draw two arcs from these points intersecting at a point.

Step - 4

Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.

     Therefore, Option (3) will be the correct option.

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Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z

To find the value of ∠Z we use tan

We have

[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]

We have the final answer as

Hope this helps you

Answer:

the answer is B)41.76

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Step-by-step explanation:

poin

Answer:

1) 17/20 2)24 and  1/2 3)terminating 4) 0.8 5)1.8

Step-by-step explanation:

4) 4/5 times both sides by 2 then you get 8/10= 0.8

Answer:

first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.

Step-by-step explanation:

hope this helps :)