Justin wants to buy a laptop computer that costs $580. He takes a loan from the electronics store that charges him 14.5% simple interest per year. What is the balance of the loan after 2 years?

Answer: y=8-6x

Step-by-step explanation:

Answer:

8 cups per hour

Step-by-step explanation:

We already have both values, the total sum of hours and the total amount of cups the faucet dripped. We would divide the hours by the cups of water to get an answer of 12. You can also double check this when doing one of these problems on your own, by multiplying your answer by the divisor. (14) 14 times 8 is 112, so we know our answer is correct.

Hope that helps :D

The rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A faucet dripped 14 cup of water in 112 hours.

The total sum of hours and the total amount of cups the faucet dripped.

The rate in cups per hour = 112/14

The rate in cups per hour = 8

Thus, the rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.

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Answer: log(2) 512= 9

Step-by-step explanation:

A P E X ;)

In logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:

[tex]log_{(2)}\ 512 = 9[/tex]

As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.

To understand this, let's break down the expression.

The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.

By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.

So, in logarithmic form can be written as:

[tex]log_{(2)}\ 512 = 9[/tex]

Therefore, in logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:

[tex]log_{(2)}\ 512 = 9[/tex]

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Answer:

2x2x2x2x3

Step-by-step explanation:

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

Answer: 133,300

Step-by-step explanation:

Given that:

Number of kcals per serving = 430

Percentage of protein in the kcal = 31%

To obtain the number or amount of protein in one serving :

31% of 430

= 0.31 * 430

= 133.3 kcal

I kcal = 1000 gram calories

Hence,

133.3 kcal = (1000 * 133.3) = 133,300 gram calories

Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

Answer:

Good thanks for points hehe

Answer:

I think it’s is into fifths if I’m correct

Step-by-step explanation:

Answer:

1, 0

Step-by-step explanation:

Just go on a chart graph and do what it asks and you get that.

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

Answer:

it will take him 44 minutes

Step-by-step explanation:

20 minutes / 5 pages = 4 minutes per page

4 minutes per page * 11 pages = 44 minutes

Answer:

x-1+5x+1=180, 6x=180, x=30

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

So you start with an equation. 2/3 plus 1/4= ?.

Step 1: Find a common donominator.

Count by each number until they meat up.

3 6 9 12

4 8 12

Step 2: Multiply.

Basically, make sure that if you do something to the bottom you do the same to the top. You have

[tex]\frac{2}{3}[/tex]  = [tex]\frac{?}{12}[/tex]. 3 times 4 is 12. 2 times 4 is 8. Your new fraction is [tex]\frac{8}{12}[/tex].

[tex]\frac{1}{4}[/tex] = [tex]\frac{?}{12}[/tex]. 4 times 3 is 12. 1 times 3 is 3. Your new fraction is [tex]\frac{3}{12}[/tex].

Step 3: Just Add!

[tex]\frac{8}{12} + \frac{3}{12}= \frac{11}{12}[/tex]

Step 4: Answer the question! The question asks "How much cake is left. You know that a whole cake is [tex]\frac{12}{12}[/tex]. So, [tex]\frac{12}{12} -\frac{11}{12} = \frac{1}{12}[/tex]

Answer:

5/9

Step-by-step explanation:

5/9 is 0.5 recurring

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

[tex]\frac{2}{25}[/tex]

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

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Answer:

f(x)=(x-8)^2 -6

Step-by-step explanation:

Answer:

see pdf

Step-by-step explanation:

Answer:

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Given that,

cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]

From the trigonometric functions,

cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]

⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]

[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]

9 = 3 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 9 - 3

   = 6

x = [tex]\sqrt{6}[/tex]

Thus, opposite side = [tex]\sqrt{6}[/tex]

So that,

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{\sqrt{6} }{3}[/tex]

Therefore,

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]

Rewrite these equations in matrix form

[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]

we can write it like this,

[tex]AX=B\\X=A^{-1}B[/tex]

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]

now multiply the matrix with B

[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]

Answer:

They are independent events

Step-by-step explanation:

For independent events;

Pr(A & B) = Pr(A) × Pr(B)

Given that:

A = day is Monday or Wednesday

Since we have four weeks and each week will have one Monday and Wednesday each,

Pr(A) = (8/28)

B = day falls in the first or third week

Since, first and the third week has a total of 14 days,

Pr(B) = 14/28

Therefore;

Pr(A) × Pr(B) = 8/28 * 14/28

Pr(A) × Pr(B)  = 1/7

Now, A and B = day is either Monday or Wednesday, and it is in the first or third week

There are four such days, Thus Pr(A and B) = 4/28 = 1/7

Since, Pr(A and B) = Pr(A) * Pr(B),

A and B are independent events

Answer:

14

Step-by-step explanation:

3 1/2= 3.5

so...

3.5*4=14

Answer:

14

Step-by-step explanation:

7 / 2 × 4

7 × 2

14

hope it helps!

Answer:

Um.

Step-by-step explanation:

Could you give an example of what? Or no.?

Answer: A,C,E

Step-by-step explanation:

All of the other answers give you a decimal.

Answer:

Step-by-step explanation:

A

1215 divided by 3 = 405

B

1215 divided by 9 = 135

C

1215 divided by 5 = 243

*The other answers can give a decimal answer.

Answer:

(-1, -2)

Step-by-step explanation: