Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 years?

Answer:

x = 25.5

Step-by-step explanation:

Since there is a pair of parallel lines and a line cutting across the lines, ∠5 and ∠12 are interior angles and add up to 180°.

∠5 + ∠12 = 180°

5x - 11 + x + 38 = 180

Evaluate like terms.

6x + 27 = 180

Isolate 6x.

6x = 180 - 27

    = 153

Find x.

x = 153 ÷ 6

x = 25.5

Answer:

Subtract 5 as you go along the pattern.

82-5=77-5=72-5=67...

Step-by-step explanation:

Answer:

What are the choices?

Step-by-step explanation:

Answer:

1) Combine the x tiles to get: [tex]\mathbf{4x}[/tex]

2) Combine integer tiles to get: 3

3) The equivalent function is: [tex]\mathbf{4x+3}[/tex]

4) If we Substitute any value of x both expressions will be equivalent

Step-by-step explanation:

We are given expression: [tex]x+x+x+x++4-1\\[/tex]

We need to complete following statements.

1) Combine the x tiles to get:

[tex]x+x+x+x\\=4x[/tex]

Combine the x tiles to get: [tex]\mathbf{4x}[/tex]

2) Combine integer tiles to get:

[tex]+4-1\\=3[/tex]

Combine integer tiles to get: 3

3) The equivalent function is:

[tex]x+x+x+x++4-1\\\\4x+3[/tex]

The equivalent function is: [tex]\mathbf{4x+3}[/tex]

4) If we Substitute any value of x both expressions will be equivalent

Verifying:

[tex]x+x+x+x+4-1=4x+3\\Let\: x = 1\\1+1+1+1+4-1=4(1)+3\\4+4-1=4+3\\7=7[/tex]

So, Both expressions are equivalent.

The answer is "4x" for the first box

                        "3" for the second box

                        "4x + 3" for the third box

And "Substitution"  for the last box

                                               You're Welcome!

    PS: I want to thank the first person for answering, you are amazing,

                                                       thanks!

Step-by-step explanation:

–(11/4) = 11 : (–4) = –11/4 = 11/-4

Answer:

Step-by-step explanation:

1620.

Answer:

5%

Step-by-step explanation:

90/1800 = x/100

0.05 = x/100

0.05 * 100 = x

5 = x

1.800 * 5% = 90

Answer:

c. (10.1, 15.7)

Step-by-step explanation:

The calculation of the 95% confidence interval is shown below:

Given that

n = sample = 14

average = [tex]\bar x[/tex] = 12.9

Standard deviation = s = 4.9

Based on the above information

[tex]\alpha = 1 -0.95 = 0.05[/tex]

n - 1 = 14 - 1 = 13

[tex]t_{\alpha}\ value = 2.16[/tex]

Now the 95% confidence interval is

[tex]= \bar x + \pm\ t \times \frac{s}{\sqrt{n} } \\\\= 12.9 \pm 2.16 \times \frac{4.9}{\sqrt{14} } \\\\= 12.9 \pm 2.8287[/tex]

= (10.1, 15.7)

hence, the correct option is c.

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

Answer:

c

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

an expression is like an equation without the equal sign, or according to the Oxford Dictionary: "a collection of symbols that jointly express a quantity."

Answer:

Yes

Step-by-step explanation:

An expression is a collection of symbols that jointly express a quantity, which means a set of symbols that equals a number. a,b, and c are all variables, meaning that its a expression

Answer:

The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]

Step-by-step explanation:

The relation is proportional if [tex]y=kx \:or\:k=\frac{y}{x}[/tex]

Putting values of x and y to find k.

For x =2 and y =1 k is: [tex]k=\frac{y}{x}=\frac{1}{2}[/tex]

For x =4 and y =2 k is: [tex]k=\frac{y}{x}=\frac{2}{4} =\frac{1}{2}[/tex]

For x =6 and y = 3 k is: [tex]k=\frac{y}{x}=\frac{3}{6} =\frac{1}{2}[/tex]

For x = 8 and y = 4 k is: [tex]k=\frac{y}{x}=\frac{4}{8} =\frac{1}{2}[/tex]

For x =10 and y = 5 k is: [tex]k=\frac{y}{x}=\frac{5}{10} =\frac{1}{2}[/tex]

So, The value of k that makes the relationship shown in the table below proportional is [tex]\mathbf{\frac{1}{2}}[/tex]

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4

Answer:

Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.

Step-by-step explanation:

C    

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When subtracting a negitive number from a positive number the difference ends up being a positive. The answer is 7, therefore, greater than 4.

Answer:

1/3

Step-by-step explanation:

11/18 - 4/9 + 1/6

= 1/6 + 1/6

= 1/3

The value of the fraction is 1/3.

PEMDAS rule is the same as BODMAS rule.

PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.

Given fraction is : (11/18 - 4/9) + 1/6

We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.

And multiply the fraction 4/9 with 2 on both numerator and denominator.

(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6

                           = 3/18 + 1/6

There is only an operation of addition left.

Multiplying both numerator and denominator of 1/6 with 3,

(11/18 - 4/9) + 1/6 = 3/18 + 3/18

                           = 6/18

                           = 1/3

Hence the value of the fractional expression given is 1/3.

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Answer:

The solution to the system of equations be:

[tex]y=4,\:x=0[/tex]

As the consistent system of equations has only one solution, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]3y + 2x= 12[/tex]

[tex]36 - 9y = -6x[/tex]

solving the system of equations

[tex]\begin{bmatrix}3y+2x=12\\ 36-9y=-6x\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}3y+2x=12\\ -9y+6x=-36\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}3y+2x=12\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:9y+6x=36[/tex]

[tex]\begin{bmatrix}9y+6x=36\\ -9y+6x=-36\end{bmatrix}[/tex]

so

[tex]-9y+6x=-36[/tex]

[tex]+[/tex]

[tex]\underline{9y+6x=36}[/tex]

[tex]12x=0[/tex]

[tex]\begin{bmatrix}9y+6x=36\\ 12x=0\end{bmatrix}[/tex]

solve 12x=0 for x

[tex]12x=0[/tex]

Divide both sides by 12

[tex]\frac{12x}{12}=\frac{0}{12}[/tex]

[tex]x=0[/tex]

[tex]\mathrm{For\:}9y+6x=36\mathrm{\:plug\:in\:}x=0[/tex]

[tex]9y+6\cdot \:0=36[/tex]

[tex]9y=36[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{36}{9}[/tex]

[tex]y=4[/tex]

Thus, the solution to the system of equations be:

[tex]y=4,\:x=0[/tex]

As the consistent system of equations has only one solution, it is independent.

Answer:

x = 2

y = 0

Step-by-step explanation:

x - y = 2

2x + 3y = 4

Using creamers rule of determinants, we have;

D =

|1 1|

|2 3|

Thus; D = (1 × 3) - (1 × 2)

D = 1

Dx =

|2 1|

|4 3|

Dx = (2 × 3) - (1 × 4)

Dx = 2

Dy =

|1 2|

|2 4|

Dy = (1 × 4) - (2 × 2)

Dy = 0

Thus;

x = Dx/D = 2/1

x = 2

y = Dy/D = 0/1

y = 0

Answer:

D.

Step-by-step explanation:

Answer:

this person is right the answer is D

Step-by-step explanation:

have a good day good luck on the test

edg 2022

Answer:

a

Step-by-step explanation:

5 hours

Answer:

E is short for 10^x. The number that comes after the E is the power of 10.

So its 7.6*10^12

now that scientifically notation

For standard your gonna need to simplify that

so we know 10^12 is 1000000000000

Multiply the 7.6

7600000000000

hope I helped :)

Answer:

xfgn  

Step-by-step explanation:

Answer:

33 adult tickets and 21 student tickets

Step-by-step explanation:

We will create a system of equations.

Let x = the number of adult tickets sold and let y = the number of student tickets sold

x + y = 54

3x + 2y = 141

We can cancel out the y by multiplying the first equation by -2.

-2x - 2y = -108

3x + 2y = 141

Adding these equations together we get:

x = 33

Plugging this into the equation, we have:

38 + y = 54

y = 21

There were 33 adult tickets and 21 student tickets

Answer: y>2x+4

Step-by-step explanation:

Answer:

one that looks like triangle

Step-by-step explanation:

Answer:

Step IV; Tommy must set the quadratic expression equal to 0 before factoring.

plz give brainlyest

It is found that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that the system of a linear equation and a quadratic equation.

2x – y = –1

x² – 5x – y = –7

Now Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic equation as;

x²  – 7x – 1,

Step I: y = 2x + 1

Step II: x²  – 5x – (2x + 1) = –7

Step III: x²  – 5x – 2x – 1 = –7

Step IV: x²  – 7x – 1 = –7

Therefore, we conclude that in Step IV; Tommy must set the quadratic equations equal to 0 before factoring and then solving.

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Answer:

X= 3

Step-by-step explanation:

Answer:

B. -14

Step-by-step explanation:

sana maka tulong ako sayo

at ano ba ang grade nyo

Answer:

70+120/100x70(1+100/100)=(100/100+120/100)= 220/100 hope helps you

Step-by-step explanation:

Answer:

154 dollary doooos

Step-by-step explanation:

The requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The question seems to be incomplete, there must be a figure that illustrates the situation,

Since, as of the given data, he might run x distance less toward the east as of the 100 feet east, and than swim, the distance is given as,
= √[x² + 80²].

And the distance run  = 100 - x.

Thus, the requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

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