Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?

Answer:

16

Step-by-step explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

Simplify (if you want to)

[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]

64 to the power of 2/3 is 16.

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the border/perimeter of the yellow ribbon is 26in

let the  width be x

W=x

and the lenght

L=x+3

Step two:

Required

The expression for the perimeter to find the dimensions of the yellow ribbon given the above condition.

we know that the perimeter of a rectangle is given as

P=2L+2W

26=2(x+3)+2x---------This is the expression required

26=2x+6+2x

26=4x+6

26-6=4x

20=4x

divide both sides by 4

x=20/4

x=5in

The width is 5in

The length is

L=x+3

L=5+3

L=8in

Step-by-step explanation:

radius

(2,2)-(1,-3)=(1,5)

radius= 5.09 units

Answer:

No solutions

Step-by-step explanation:

Answer:

they usually have the sum of an answer that they divided

Step-by-step explanation:

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft

Answer:

CD = 7

Step-by-step explanation:

Given that the triangles are congruent, then corresponding sides are congruent, that is

CD = AB , substitute values

3y + 1 = 15 - 4y ( add 4y to both sides )

7y + 1 = 15 ( subtract 1 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Thus

CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7

Answer: The point (5,7) is on the line 5x+6y = 67

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

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

A line with a slope of 3 passes through the point (6,9).

m = 3

The line equation:

y = mx + c

y = 3x + c

9 = 3(6) + c

c = -9

y = 3x - 9

Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

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Answer:

D. 12 servings

Step-by-step explanation:

Normally, when working with fractions, I would like to make the denominators of both fractions the same.

[tex]\frac{1}{2}[/tex] cup diced onion --- 8 servings

[tex]\frac{2}{4}[/tex] cup diced onion --- 8 servings

[tex]\frac{3}{4}[/tex] cup diced onion --- [tex]\frac{3}{2}[/tex] × 8 servings = 12 servings

Answer:

They made a mistake of the value of W.  If half of W is 30, then 1/1 should thus be 60, but it's 15. Leon made a mistake on the value of W. 1/2w-12=18 would actually be 3 based of background information.

Step-by-step explanation:W-

Answer:

Step two

Step-by-step explanation:

step one isn't wrong

and he infact made a mistake

Answer: w=−4

Step-by-step explanation:

hoped this helped

Answer:

z > -108.5

Step-by-step explanation:

1. z/7+19>3.5

Subtract 19 from both sides

2. Z/7 > -15.5

Multiply both sides by 7

3. Z > -108.5

Answer:

5 + 3a

Step-by-step explanation:

5 - a + 4a =

5 + ( -a + 4a ) =

5 + ( 4a - a ) =

5 + ( 3a )

Answer:

ccccccccccccccccccccc

Answer:

y=2x+4

Step-by-step explanation:

If you look at the table y goes up by 2 every time x goes up by 1 and when x is 0 y is 4 so its y=2x+4

Answer:

4:3

Step-by-step explanation:

16:12=8:6=4:3

Answer:

4:3

Step-by-step explanation:

16 and 12 can both be divided by 4

16/4 = 4 12/4 = 3

so your simplified ratio is 4:3

Answer: -2

Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0

Then you add 4 to 0 so -2r=4 then divide

Answer:

A

Step-by-step explanation:

Geometry has nothing to do with driving.

Answer:

1.015

Step-by-step explanation:

Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.

Answer:

0.01

Step-by-step explanation:

because if u subtract 1.01 from 1.02 it will give you the answer

Answer:

B) A and C

Step-by-step explanation:

A and C are negative reciprocals of each other.

Answer:

2x+7

Step-by-step explanation:

F(x+3)=2(x+3)+1

F(x+3)= 2x+6 +1 =2x+7

Answer:

Step-by-step explanation:

(

9

+

3

)

+

(

7

+

4

)

(9+3n)+(7+4a)

(9+3n)+(7+4a)

Simplify

1

Rearrange terms

(

9

+

3

)

+

(

7

+

4

)

({\color{#c92786}{9+3n}})+(7+4a)

(9+3n)+(7+4a)

(

3

+

9

)

+

(

7

+

4

)

({\color{#c92786}{3n+9}})+(7+4a)

(3n+9)+(7+4a)

2

Rearrange terms

3

Eliminate redundant parentheses

4

Add the numbers

5

Rearrange terms

Solution

4

+

3

+

1

6

The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation 3x + 2 - x = 11x + 9.

The first step would be subraction property of equality.

We'll subtract 2 from each side of the equation.

3x + 2 - x - 2 = 11x + 9 - 2.

3x - x = 11x + 7.

We choose subraction property of equality to separate the vriables and the constants.

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Answer:

The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.

Step-by-step explanation:

The given length of the line segment is 20 units.

The line segment is translated up 6 units and left 8 units.

Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.

So, the length of the line segment is preserved on translation.

After translation, the length of the line remains unchanged.

So, the length of the resulting line segment is 20 units.