lilly 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?

•A.) 2

•B.) 3

•C.) 4.5

•D.) 5

Answer:

(2/3)n + 7

Step-by-step explanation:

Represent the number by n.

Then "two thirds of (that) number" is (2/3)n.

Finally, we add 7:

"Two-thirds of a number increased by seven" is (2/3)n + 7

Answer:

The answer is 2x+16=12(1/6x +1/192 )

Step-by-step explanation:

hopefully this answer can help you to answer the next question

Answer:

y = 4x-31

Step-by-step explanation:

parallel lines, slope is the same.

two ways to solve it,

y=4x+c

sub y = -11. x =5

-11 = 4(5) + c

c = -31

OR

y-(-11) = 4(x-5)

y+11=4x-20

y=4x-20-11

y=4x-31

Answer:

The equation is y = 4x - 31

Step-by-step explanation:

y - y1 = m (x - x1)

y - (-11) = 4 (x - 5)

y + 11 = 4x - 20

y = 4x - 20 -11

y = 4x - 31

Answer:

25

Step-by-step explanation:

(-5)^2

(-5)*(-5)

25

Answer:

25

Step-by-step explanation:

(-5)^2 = 25, since -5 x -5 is 25.

Now, if the -5 hadn't been in parenthesis, -5^2 would be read as -(5 x 5), and would equal -25.

Brainliest, please! I'm so close to becoming an Expert!

Answer:

30 feet

Step-by-step explanation:

The molding needed would be equal to the perimeter of the kitchen floor. The perimeter of the kitchen floor is 2*(9+6)=30 feet

A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = 2(L + W) \: \rm unit

A kitchen floor is 9 feet long and 6 feet wide is given.

The molding needed would be equal to the perimeter of the kitchen floor.

The perimeter of the kitchen floor = 2 (9+6)

The perimeter of the kitchen floor = 30 feet

Therefore, A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

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Answer:

Your hourly rate is about 19.12 (19.1175699301 rounded to the nearest hundredth)

Step-by-step explanation:

44 × 52 = 2288, 43,741 ÷ 2288 = 19.1175699301. Btw we round to the nearest hundredth because you can't have part of a cent

Answer:

See attached image for the sum computed using wolfram alpha, raw value is: 49382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382715160

Answer:

Step-by-step explanation:

First, i divide all terms by 4

sequence is 1,11,111,1111,....,1111...1111 (with 2000 digits)

[tex]u_1=1\\\\u_2=11=10+1=\dfrac{10^2-1}{9}\\\\u_3=111=100+10+1=\dfrac{10^3-1}{9}\\\\u_4=1111=1000+100+10+1=\dfrac{10^4-1}{9}\\....\\u_n=\dfrac{10^n-1}{9}\\\\\\\displaystyle \sum_{i=1}^n\ u_1 =\dfrac{10^1-1}{9}+\dfrac{10^2-1}{9}+\dfrac{10^3-1}{9}+...+\dfrac{10^n-1}{9}\\=\dfrac{1}{9} *(10+10^2+10^3+....+10^n+1-1-(1+1+1+1...+1)\ )\\\\=\dfrac{1}{9}*( \frac{10^{n+1}-1}{9} -(n+1)\ )[/tex]

[tex]\boxed{4+44+444+....+444...4=\dfrac{4}{9}*( \dfrac{10^{2001}-1}{9} -2001\ )}\\\\\\\approx{4,9382716049382716049382716049383*10^{1999} }[/tex]

Answer:

Step-by-step explanation:

Answer:

|5x|=3  

5x=3 or 5x=-3  

divide both side by 5  

x=3/5 or -3/5

Step-by-step explanation:

Answer: X = -3/5

X = 3/5

Step-by-step explanation:

-3=5X=3

5X= -3

X= -3/5

5X = 3

X = 3/5

Answer:

7/3 = 7 ÷  7 ÷ 3/7 (i think)

Step-by-step explanation:

check mathpapa.com

https://www.mathpapa.com/algebra-calculator.html

No, because

2(y + 1,5)  = 2 · y + 2 · 1,5 = 2y + 3

2y + 3 ≠ 2y + 1,5

Answer:

No

Step-by-step explanation:

2 ( y + 1.5 ) = 2y + 3. Not 2y + 1.5

Answer:

Hello,

We don't need vw(x) !

[tex]w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Step-by-step explanation:

[tex]w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}[/tex]

Answer:

26

because a is gone in b than

Answer:

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

Step-by-step explanation:

a(a+b)

in this question first a will multiply by a+b.

like this;

a(a+b)

= a(a)+ab

= a^2+ab

The simpler form of the expression a(a + b) is [tex]a^2 + ab.[/tex]

Distributive law states that for any numbers a, b, and c :

a(b + c) = ab + ac

Expression: a(a + b) rewrite it using the distributive law to simplify it.

1. Start with the expression a(a + b).

2. Apply the distributive law by multiplying the 'a' outside the parentheses by each term inside the parentheses:

a(a + b) = a * a + a * b

3. Simplify by multiplying:

a(a + b) = [tex]a^2 + ab[/tex]

Therefore, the simpler form of the expression a(a + b) is [tex]a^2 + ab.[/tex]

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Answer:

15

Step-by-step explanation:

For this we must find the GCF, or greatest common factor, because we cannot have multiples.

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Factors of 15:

1, 3, 5, 15

GCF = 15

Each bag will have 2 Hershey bags, and 1 Blow Pop

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Answer:

y+11=-[tex]\frac{1}{4}[/tex](x-4)

Step-by-step explanation:

since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-[tex]\frac{1}{4}[/tex](x-4)

Answer:

Step-by-step explanation:

3x(x - 2y) - 4(x - 5y) = 3x*x - 3x*2y  + x*(-4) - 5y*(-4)  {Distributive property}

                               = 3x² -  6xy - 4x + 20y

Answer:

(12 x 7) feet2

Step-by-step explanation:

formula of area= length times breadth

The expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle is called the area of the rectangle. The rectangle has two sides one is the width and the other is the Length.

Given that Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide.

The area of the rectangle is the product of its width and length.

Area = L x W

The expression for Shenandoah's bedroom area will be written as below:-

Area = 12 x 7

Area = 84 square feet

Therefore, the expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

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Answer:

Area = 13.5 cm^2

Step-by-step explanation:

When we know 2 sides and the included angle

the area is  =(½)ab sin C

where a and b are the side lengths and C is the angle between them

Area = 1/2 ( 13*7) sin 38

Area = 13.48477

Rounding to the nearest tenth

Area = 13.5 cm^2

Answer:

0.35 * 1000 = 350

1.2 * 1000 = 1200

Answer:

We know:

Covert the given l to ml:

(a)

(b)

Answer:

f^(-1)(x) = 3x/(2-x)

Step-by-step explanation:

f(x) = 2x/(x+3)

f(x)*(x+3)=2x

x(2-f(x))=3f(x)

x=3f(x)/(2-f(x))

f^(-1)(x) = 3x/(2-x)

Answer:

The answer for this question is C

Answer:

The number 43 is a composite number because 42 can be divided by 1, by itself and at least by 2, 3, and 7. So it is possible to draw its prime tree. The prime factorization of 42=2*3*7

Step-by-step explanation:

hope this helps :)

Answer:

Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors

Answer:

169 of the 200 free throws

Step-by-step explanation:

You would expect her to make at least 169 of the 200 free throws

1) Art

2) Sports

3) Nature

Answer:

Because it is terminating.

Step-by-step explanation:

0.71875 is rational because it is terminating (has a clear end). If it were a bunch of random numbers that never ended, then it would be irrational.

0.71875 is a rational number because it is a terminating and non-repeating decimal.

Rational numbers are numbers that can be written as the ratio of two integers. For example: 1/2, 3/4, are rational numbers

Irrational numbers, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

Now,the given number is 0.71875

Here we see that digits after decimal 71875 stops,

hence the given number can be convert into fraction of the form a/b

So,

0.71875 = 71875/100000

So 0.71875 can be expressed in the form of a/b

Therefore 0.71875 is rational because it is a terminating and non-repeating decimal.

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Answer:

Step 1: Equation at the end of step 1

(((x^{2} )-4xy)+(4(((x

2

)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y

2

)))−3

2

−z

2

Step 2: Equation at the end of step 2

(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x

2

)−4xy)+2

2

y

2

)−3

2

z

2

Step 3: Final Result

x^{2} -4xy+4y^{2} -9z^{2}x

2

−4xy+4y

2

−9z

2