Lily just paid off a $400 loan. She had to pay $60 in interest at a simple annual interest rate of 5%. How many years did Lily have this loan?

Answer:

-32 - 36i.

Step-by-step explanation:

(4 - 8i)(2 – 5i)

= 4*2 + 4*-5i + 2*-8i  + (-8i*-5i)

= 8 - 20i - 16i + 40i^2      Now i^2 = -1 so:

= 8 - 36i - 40

= -32 - 36i.

Hi there! :)

Answer:

[tex]\huge\boxed{-32 - 36i}[/tex]

(4 - 8i) (2 - 5i)

FOIL:

(4 · 2) + (4 · (-5i) + ((-8i) · 2) + ((-8i) · (-5i))  =

Simplify: (Remember, i² = -1:

8 + ( - 20i) + (-16i) + (40i²) =

8 - 20i - 16i - 40

Combine like terms:

-32 - 36i

Answer:

[tex] \frac{3(n)}{9} \: or \: 3n \div 9 [/tex]

Step-by-step explanation:

[tex] \frac{3(n)}{9} = \frac{3n}{9} [/tex]

The number is 'n'.

Hope this helps ;) ❤❤❤

Answer:

(x + [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] )(x + [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] )

Step-by-step explanation:

solve the polynomial for x then express in product of factor form

Solve

x² + x - 10 = 0 ( add 10 to both sides )

x² + x = 10

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] = 10 + [tex]\frac{1}{4}[/tex]

(x + [tex]\frac{1}{2}[/tex] )² = [tex]\frac{41}{4}[/tex] ( take the square root of both sides )

x + [tex]\frac{1}{2}[/tex] = ± [tex]\sqrt{\frac{41}{4} }[/tex] = ± [tex]\frac{\sqrt{41} }{2}[/tex] ( subtract [tex]\frac{1}{2}[/tex] from both sides )

x = - [tex]\frac{1}{2}[/tex] ± [tex]\frac{\sqrt{41} }{2}[/tex]

Thus corresponding factors are

(x - (- [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] ) ) and (x - (- [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] ), that is

(x + [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] ) and ( x + [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] )

Thus

x² + x - 10 = ( x + [tex]\frac{1}{2}[/tex] + [tex]\frac{\sqrt{41} }{2}[/tex] )(x + [tex]\frac{1}{2}[/tex] - [tex]\frac{\sqrt{41} }{2}[/tex] ) ← in factored form

Answer:

  20, 21

Step-by-step explanation:

The number halfway between the middle two integers is the average of the four:

  78/4 = 19.5

Then the four integers are 18, 19, 20, 21.

The 3rd and 4th integers are 20 and 21.

Answer: -0.81 .30

Step-by-step explanation:

Answer:

x=5/2

Step-by-step explanation:

(2/7)^2x *(2/7)=(2/7)^6

(2/7)^(2x+1)=(2/7)^6

Equate indices

2x+1=6

2x=6-1

2x=5

x=5/2

Answer:

When multiplying the same number, raised to different powers, you carry the number forward so (2/7)^6  is part of the answer.

Now, we have to calculate the exponent.

2x + 1 = 6

So, the answer is x = 2.5 which means

[2/7]^(2*2.5) x [2/7]^1 = [2/7]^6 which equals

[2/7]^5 x [2/7]^1  = [2/7]^6

Step-by-step explanation:

Answer: X=11

Step-by-step explanation:

                                     7x+ 13 = 90

                                                          (bring like terms together)

                                      7x=90-13

                                      7x=77

                                           therefore x= 11

HOPE THIS HELPS YOU....

AND MARK THE BRAINLIEST

The probability of a passenger choosing chips and soda will be 25%.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A particular airline offers three free snack options to its passengers: cookies, chips, and crackers.

Along with the snack, passengers are offered two free drink options: soda or water.

Then the probability of a passenger choosing chips and soda will be

P = 0.5 x 0.5

P = 0.25

Then the probability in the percentage will be

P = 0.25 x 100

P = 25%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:i

Step-by-step explanatio

The number i¹³ is given by the equation A = i

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The complex number is n = i¹³

Now , the value of A is A = i¹³

On simplifying the equation , we get

i = √ ( -1 )

i² = -1

i³ = -i

i⁴ = 1

So ,

i¹³ = i¹² ( i )

The value of i¹² = ( i⁴ )³

The value of i¹² = ( 1 )³

The value of i¹² = 1

Now , the value of i¹³ = i¹² x i

On simplifying the equation , we get

The value of i¹³ = 1 x i

The value of i¹³ = i

Hence , the value of i¹³ = i

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 4 - ( - 9)}[/tex]

When there is a ( - ) in front of an expression in Parentheses, change the sign of each term

⇒[tex] \sf{ - 4 + 9}[/tex]

Calculate

⇒[tex] \sf{5}[/tex]

Hope I helped!

Best regards!!

Answer:

5

Step-by-step explanation:

- 4 - ( -9 )

Two negatives multiplied  = positive

Therefore,

-4 + 9 = 5

Answer:

y = 3x+5

Step-by-step explanation:

[tex](2,11)=(x_1,y_1)\\y =3x-2\\m = 3\\\\Substitute \:values\:into \:point \:slope\:form\\y-y_1=m(x-x_1)\\y-11=3(x-2)\\y-11=3x-6\\y=3x-6+11\\y = 3x +5[/tex]

Answer:

I need help on this to what is it

Answer:

8

Step-by-step explanation:

The formula for the area of a square is s^2, where s is the length of one side.  64 is a perfect square, so square root it and you find that one side is 8.

Answer: 1. -90

Step-by-step explanation:

5xy², if x=-2 and y=-3

You substitute the value into the original expression

 5xy²

=5(-2)(-3)² ⇔ substitution

=(-10)(9) ⇔ multiply 5 and -2, and simplify (-3)²

=-90

Hope this helps!! :)

Steps to solve:

5xy²; x = -2, y = -3

~Substitute

5(-2)(-3)²

~Solve the exponent to y

5(-2)(9)

~Multiply inside

5(-18)

~Multiply

-90 (Option 1)

Best of Luck!

Answer:

Option 2

Step-by-step explanation:

When completing the square, you have to find the number that will allow you to find the perfect square trinomials and when you factor that it should get the form a^2 + 2ab + b^2 and if a is equal to 1, then to find b, you have to take the half of the coefficient and square it because of the equation, and to maintain a balanced equation, you have to add it to both sides (same to both sides)

Hope this helped.

Answer:

[tex]\huge \boxed{\mathrm{Option \ 2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

When completing the square, we add the square of half the coefficient of x to both sides of the equation.

[tex]\Longrightarrow \ \displaystyle ( \frac{b}{2} ) ^2[/tex]

Where b is the coefficient of x in the equation.

[tex]\rule[225]{225}{2}[/tex]

There are two possible answers

There are two answers because there are 2 points given. Both equations convert to the slope intercept form equation y = (3/8)x + 29/8

=================================================

Work Shown:

First we need the slope

m = (y2 - y1)/(x2 - x1)

m = (1-4)/(-7-1)

m = -3/(-8)

m = 3/8

-------------------

Using this slope along with the point (x1,y1) = (1,4) gets us the following equation

y - y1 = m(x - x1)

y - 4 = (3/8)(x - 1)

which is one way to express the equation in point-slope form

-------------------

Or we could easily use the other point as (x1,y1). The order of the points does not matter.

y - y1 = m(x - x1)

y - 1 = (3/8)(x - (-7))

y - 1 = (3/8)(x + 7)

is another valid answer.

Answer:

see below

Step-by-step explanation:

7.    1/3 ( n+2) = 5

Multiply each side by 3

n+2 = 5*3

n+2 = 15

Subtract 2 from each side

n+2-2 = 15-2

n = 13

8.x = bills

He started with 300 and paid 1/4 of the bills and ended up with -50

300 - 1/4 x = -50

Rearranging the order on the left

-1/4x + 300 = -50

Answer:

(A) [tex]-\frac{1}{4}x+300=-50[/tex]

Step-by-step explanation:

I "reversed" this problem to find the equation that works for it.

The balance was originally $300. If he's now at a balance of -50$ after paying off [tex]\frac{1}{4}[/tex] of his bills, then [tex]\frac{1}{4}[/tex] of his bills are $350, since [tex]300 - (-50) = 350[/tex].

If  [tex]\frac{1}{4}[/tex]  of his bills are $350, then his full bill is [tex]350\cdot4=1400[/tex]$.

So I tested each equation, where [tex]x=1400[/tex] to see if the equation worked out.

For a:

[tex]-\frac{1}{4}x + 300 = -50\\\\-\frac{1}{4}\cdot1400 + 300 = -50\\\\-350 + 300 = -50[/tex]

-350 + 300 is indeed -50, so I knew this equation works.

Hope this helped!

Answer:6.3 ÷ 100 = 0.063

Answer:

x+4 = 8

(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)

Step-by-step explanation:

An example would be x+4 = 8

(❁´◡`❁)(❁´◡`❁)(❁´◡`❁)

Answer:

Step-by-step explanation:

Hello!!!

from the problem statement we can infer that Jamal had a container of water where he fetches from to fill the graduated cylinder.

More so, after some couple of trails he recorded as follows

25.85, 24.1, and 24.56.

Hence the total amount of water he measured out of the container after three trials is

25.85+24.1+24.56=  74.51 ml

(assuming the cylinder is calibrated in ml)

The total volume of water he measures is  74.51 ml

Answer:

8x + 24

Step-by-step explanation:

Length = 8

Width = x + 3

Area of the rectangle = 8(x + 3)

= 8x + 24

Answer:

Meteorite A= 46  Meteorite B = 23

Step-by-step explanation:

We can solve this problem by making an equation in which we add the weights, A + B = 69

We are told that A is equal to 2 times the weight of meteorite B, in other words, A is equal to 2B

We can make this into an equation and solve for B'

In order to solve for A, we simply input B=23 into 2B

Check:

A + B = 69

46+23 = 69

69 = 69

Answer:

50 degree Celsius

Step-by-step explanation:

40+10 = 50

Answer:

86.74%

Step-by-step explanation:

72/83 = 0.8674

86.74%

Answer:

-4

Step-by-step explanation:

1. Subtract the 5 from both sides

2. Now you have -2x=8. From here you are going to divide -2 from both sides to isolate the x value

3. Once you've done that you will have x=-4

Answer:

3x-12 is the simplififed answer

Step-by-step explanation:

the equation is almost already simplified. when you combine -8 and -4, which are like terms, you get 3x-12. because there are no more lie temrs in the equation, it can not be simplififed any further.

Answer:

3x-12

Step-by-step explanation:

3x-8-4                        -8-4=-12

 3x-12

Answer:

88.

Step-by-step explanation:

428-360 = 88

Answer:

False

Step-by-step explanation:

Equilateral triangles can only be acute.

Because a triangle can only have 180 degrees in angles, in an equilateral triangle all angles must be less than 90 degrees since they all measure the same (60 degrees)

I hope this helps!

-TheBusinessMan

Answer: False.

Step-by-step explanation:

All the angles of an equilateral triangle are 60° all less than 90° so only acute is correct.