Sophia wants to take out a loan of $6,000 with interest that compounds monthly. Use the formula A = P(1 + rn)n∗t to find which of these loan terms will have the lowest total cost. A) 2 years at 4% interest B) 3 years at 3% interest C) 4 years at 1% interest D) 5 years at 2% interest

A rectangular prism has dimensions of 8cm by 9cm by 10cm therefore the volume is 720cm³.

This is referred to as the measure of the space occupied within the boundaries of any three-dimensional solid.

Volume of rectangular prism = l × w × h where l is length, w is width and h is height.

Volume =  8cm × 9cm × 10cm = 720cm³.

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Answer:

Choice C

Step-by-step explanation:

Rational numbers are any number that can be written as a quotient or fraction.

Answer:

24.90 pound

1 dollar equivalent to 0.8301 pound

so 30 dollar will be 30 multiply by 0.8301

which equals 24.903 pounds

Correct option is B, The three zeros are 2, 3, -3.

The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.

If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.

y= (x-2)(x-3)(x+3)

The zeros of the above function are -

x = 2

x = 3

x = -3

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Answer:

Step-by-step explanation: (11c + 8) (-9c - 1)

Then expand

which would be 11c ( -9c - 1) + 8 ( -9c - 1)

-99c^2 -11c - 72c - 8

It becomes -99c^2 - 83c -8

I hope this was helpful

Answer:

v = 1/-3

Step-by-step explanation:

cross multiply

-3v = 1

then:

divide through by the coefficient of v which is -3

-3v/-3 = 1/-3

[tex]-1=\dfrac{1}{3} v[/tex]

Flip:

[tex]\dfrac{1}{3} v=-1[/tex]

Multiply both sides by 3:

[tex]3\times(\dfrac{1}{3} v)=3\times(-1)[/tex]

[tex]\fbox{v = -3}[/tex]

Answer:

e

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

Following order of operations rules, we must do the work inside the parentheses first, and inside the parentheses we must divide as indicated before doing the subtraction.

(2/3)( [3/4] - [1/3] )

3/4 and 1/3 have different denominators so must be rewritten using the LCD (12):

(2/3)(9/12 - 4/12)  =  (2/3)(5/12)  =  10/36  =  5/18

Answer:

250 small cubes

Step-by-step explanation:

Because the volume of the bigger cube 30000

divided by the volume of the smaller cube 120 is 250

30000/120=250

Answer:

D

Step-by-step explanation:

the last graph

Answer:

16p^12 q^4

Step-by-step explanation:

Open up the parenthesis and simplify.

2^4 is 16

p^3 times ^4 is p^12

q times ^4 is q^4

So your answer is 16p^12 q^4

Answer:

16p^12 q^4

Step-by-step explanation:

This is because the power 4 will multiple with all the variables inside

hence, p^3 will become p^12

and q^1 will become q^4

the power 4 will also change 2 into 2^4 which is 16

Answer:

Es la b

Step-by-step explanation:

Answer:

100 ft^2

Step-by-step explanation:

The large upper rectangle has dimensions 12 ft by 23 ft, and thus has area 276 ft^2.  The small lower rectangle is 15 ft by (12 - 7) ft,  or 15 t by 5 ft, and thus has area 75 ft^2.  The total area is

75 ft^2 + 25 ft^2, or 100 ft^2.

Answer:

4x10^12, or the 4th one

Step-by-step explanation:

Step-by-step explanation:

1 + 1 = 2

hope I helped! :))

Answer:

4 ^ -8

Step-by-step explanation:

Answer:

x= 3. y = 3

Step-by-step explanation:

-3x + 7y = 12. #1

x - 2y = -3. #2

Multiply Eqtn #2 by 3 and add the two together:

-3x + 7y = 12

3x - 6y = -9

or. y = 3

Plug this value into Eqtn #2 and you'll get

x = 3

Answer: 16 it right i hope or 6

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

woop

The inequality is x 26 and asks for the values of x where the perimeter of the rectangle is smaller than 112.

In mathematics, a link between two terms or values that isn't comparable is referred to as an inequality. As a result, imbalance leads to inequality. A mathematical inequality is a relationship between two non-equal expression . Egality is distinct from inequality. The not common basic is frequently used to denote that two values aren't actually equal (). Various inequalities are used to contrast the values, no matter how small or large. Many simple inequalities can be resolved by switching the two aspects until the variables are the only thing remaining. But a number of things encourage inequality: Values that are negative are divided or added along either side.

Here,

given

A rectangle's perimeter is determined by its length, width, and height.

rectangle's perimeter is calculated as length + length + width + width.

(x +4) + (x+4) + x + x < 112

x + 4 + x + 4 + x + x < 112

4x + 8 < 112

4x < 104

x < 26

In order to find the x value that occur when the rectangle's boundary is less than 112, the inequality is x 26.

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In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

Multiplication, division, addition, and subtraction are all possible in mathematics. Expression, number, and mathematical operator are the components of a mathematical expression (such as addition, subtraction, multiplication, or division, etc.). Expressions and phrases can be contrasted. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For instance, the phrase 4m + 5 consists of the terms 4m and 5, as well as the provided expression's variable m, all of which are separated by the arithmetic sign +.

given

A stationer sells 17 magazines for €2.70 each, for a total of €45.9; 28 newspapers cost €1.50 each,

for a total of €42; and

x postcards, for a total of €0.30x,

for a total of €97.20.

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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1)

a) The equation Y=3/4x+3 can be used to represent the growth of the trees over time.

b) The y-intercept in this equation represents the starting height of the trees, which is 3 feet.

c) In 3 years, the height of the trees will be 5.25 feet according to the equation.

2)

No, the equation 3x - 4y = -12 cannot be used to represent the same information in question #1. This equation is not in slope-intercept form, which is necessary to represent a linear relationship between two variables.

a) The 3 and the 4 in this equation are coefficients of the variables x and y, respectively. They do not represent any specific value or quantity in the context of the problem.

b) It is not possible to determine the height of the tree in 24 years using this equation because it is not in the correct form.

c) To find the x-intercept, we can set y to 0 and solve for x. This gives us x = -3. The x-intercept in this equation represents the number of years at which the height of the tree is 0 feet. This does not have any meaning in the context of the problem.

Answer:

8 and 1 third.

Step-by-step explanation:

Answer:

(- 4, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A (- 2, 8) and (x₂, y₂ ) = B (- 6, - 4) , then

midpoint = ( [tex]\frac{-2-6}{2}[/tex], [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-8}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 4, 2 )

Answer:

How long does my answer have to be?

Step-by-step explanation: