Four years ago, Jennifer opened a saving account that earns 5% simple interest every year. She started the account with $650 and has not been touched the account since.

Answer:

The alternative form would be ≈ 21.213203

Step-by-step explanation:

Answer:

6t

Step-by-step explanation:

The product is smaller than the factors of the product.

Let's say that we have two real positive numbers A and B.

If we define 0 < A < 1

Then when we multiply A and B (a real positive number) we will have that:

A*B < B

So the value of B is decreased.

Now, if both numbers are in that range:

0 < A < 1

0 < B < 1

We will have that:

A*B < B

A*B < A

So the product is smaller than A and smaller than B, which are the factors of the product.

So the product is less than both of the factors.

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The fourth coordinate for the given parallelogram are going to be (5, 7).

According to the statement

We have to find that the coordinate of the parallelogram.

So, For this purpose, we know that the

A parallelogram is a quadrilateral with opposite sides parallel

From the given information:

The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1).

Then

Now,

The slope of AB = Slope of CD

(y - 5)/(x - 11) = (1 - 3)/(8 - 2)

6(y - 5) = -2(x - 11)

⇒ 6y + 2x = 52 are going to be the primary equation.

Now,

The slope of BC = Slope of AD

[(y - 3)/(x - 2)] = [(5 - 1)/(11 - 8)]

[(y - 3)/(x - 2)] = 4/3

3(y - 3) = 4(x - 2)

⇒ 3y - 4x = 1 are the second equation.

Now, By substitution

x = 5 and y = 7

Hence, The fourth coordinate for the given parallelogram are going to be (5, 7).

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Answer:

huh?

Step-by-step explanation:

Answer:

the compound interest will be 365,809.5 naira.

Answer:

[ 5 4 2 ]

Step-by-step explanation:

column A is the correct answer.

The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible for this situation? Time (s) A. Distance (m) B. Distance (m) C. Distance (m) D. Distance (m) E. Distance (m) 0 0 2.00 9.00 ‡ ‡ 1 1.00 4.00 18.00 1.00 1.00 2 4.00 6.00 27.00 0.50 0.25 3 9.00 8.00 36.00 0.33 0.11 4 16.00 10.00 45.00 0.25 0.06 5 25.00 12.00 54.00 0.20 0.04 6 36.00 14.00 63.00

A quadratic relation means one variable is proportional to the square of the other variable.

for this problem, distance and time will be proportional to the following equation

d = kt² or t = kd²

where k is a (constant).

when y look at column A closely.  The numbers are all perfect squares: 1, 4, 9, 16...

This means d = kt²  with k=1:

at t = 0, d = 1 x 0² = 0

at  t = 1, d = 1 x 1² = 1

at  t = 2, d = 1 x 2² = 4

at   t = 3, d = 1 x 3² = 9

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Answer:

Step-by-step explanation:

well jar b's amount of sweets must be between 205 and 175

The correct answer of the given expression is 4x².

It is given that ∛64 x⁶

 On simplifying , we get

=  ∛4³(x²)³

  =  4x²

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Answer:

17

Step-by-step explanation:

We can tell this is a right angle (90 degrees) by the square drawn in the angle.

So this becomes a two-step equation.

4x+22=90

4x+22-22=90-22

4x=68

4x/4=68/4

x=17

Answer:

elena

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to the question, write the single logarithm of the given logarithmic expression and the expression is as follows:

Expression: [tex]log_{2}15 -log_{2}5[/tex]

Using logarithmic formula that is it divide when subtraction is there: [tex]log(a)-log(b)=log(\frac{a}{b} )[/tex].

Now, the expression can be re-written as:

Expression: [tex]log_{2}15 -log_{2}5=log_{2}(\frac{15}{5} )=log_{2}(3)[/tex]

The solution for the given expression is: [tex]log_{2}(3)[/tex].

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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Answer:

-y

Step-by-step explanation:

i did the test

Answer:

Y=8

Step-by-step explanation:

Move all terms that don't contain y to the right side and solve.

The two consecutive integers in which the side length of the square fall between is 9 and 10

The formula for the area of a square is given as follows:

            A = (s)²

where A = area of square

            s = length of side of a square

According to the question we have been given that

the area of square = 90 inch²

Now putting the required values in the formula of area we get

          (s)² = 90

Taking square root both sides we get

           s = √90

 As 90 is not a perfect square but it lies between two perfect squares which are 81 and 100.

As     √81 = 9   and √100 = 10

Now,   √81 ≤ √90 ≤ √100

     ⇒    9 ≤ √90 ≤ 10

Hence two consecutive integers such that the side length of the square fall between is 9 and 10

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Answer:

Step-by-step explanation:

3/9 can be a rational number.

Let me show you:

The Answer and/or 1 : 3 or 3 : 9.

In the cuboid, the line segment parallel to AD is BC as they both lie on same plane and are directed in same direction.

Two lines are said to be parallel if they lie on the same plane and are directed towards the same direction.

Given in the question is a labelled cuboid.

From the definition of parallel lines, they should lie on the same plane. Therefore, we will eliminate EB and EH because they don't lie in the plane of AB. CD lies in the plane of AB, but is directed perpendicular to AB. BC is in the same plane in which AB lies and is also directed in the direction of AB.

Therefore, in the cuboid, the line segment parallel to AD is BC.

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The property of real numbers illustrated by the given equation is associative property of multiplication.

Associative property states that the number in an equation can be grouped together in any way without the total value of the result changing. There are two types of associative property.

1. Associative property of addition which is given by:

(a+b)+c=a+(b+c)

2. Associative property of multiplication which is given by:

(ab)c=a(bc)

Associative property of multiplication states that the way factors are grouped in a multiplication equation does not change its product.

As the given equation 2. 3(3. 4. 12. 9)=(2. 3. 3. 4)(12. 9) contain multiplication operation, the property of real numbers illustrated is associative property of multiplication.

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Answer:

A.) 2(-2) -y=10

     -4-y= 10

     +4      +4

        -y=14

      /-1     /-1

     y= -14

B.) 2(0)-y=10

      -y=10

     /-1    /-1

   y=-10

C.) 2(2)-y=10

        4-y=10

     -4       -4

       -y = 6

        /-1  /-1

     y=-6

Answer:

im jk wdf is this goodluck

There will be $ 2249.728 in the account after 3 years .

Simple Interest : Each year interest is calculated on the principal amount ( the amount that was deposited initially ) .

Simple Interest = ( P * R * T ) / 100

P ( principal amount ) = 2000

R ( Rate of Interest ) = 4

T ( No . of years for which amount is deposited ) = 3

Substituting values

Simple Interest = ( 2000 * 4 * 1 ) / 100

                         = 80

Amount in account after 1 yr = 2000 + 80

                               = $ 2080

In second year amount will be = 2080 + [ ( 2080 * 4 * 1 ) / 100 ]

                                            = 2080 + 83.2

                                             = $ 2163.2

After three yrs . amount in account = 2163.2 + [ ( 2163.2 * 4 * 1 ) / 100 ]

                                       = 2163.2 + 86.528

                                         = $ 2249.728

Hence , there will be $ 2249.728 in the account after 3 yrs .

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The value of x is -1. Option B

From the information given, we have the equation as;

2x - 10/ 4 = 3x

Where;

Let's simplify the equation

cross multiply

2x - 10 = 3x × 4

2x - 10 = 12x

collect like terms

2x - 12x = 10

-10x = 10

Divide both sides by the coefficient of x

x = 10/ -10

x = -1

Thus, the value of x is -1. Option B

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Answer:

17x + 4

Step-by-step explanation:

Distribute: 4(5x + 1) - 3x

20x + 4 - 3x

Combine like terms: 20x + 4 - 3x --> 17x + 4

Hope this helps! :')

Answer:

[tex]\sf \bf m^6[/tex]

Step-by-step explanation:

 In exponent multiplication, if bases are same, add the powers.

      [tex]\sf \boxed{\bf a^m*a^n =a^{m+n}}[/tex]

[tex]\sf m^9 * m^{-3}=m^{9 +(-3)}[/tex]

               [tex]\sf = m^{6}[/tex]

The simplified form of the expression is 11.

Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.

You may also hear the simplest form called "lowest term."

In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:

Combine Like terms

Factoring

Increasing (the opposite of factoring)

Clean out fractions by multiplying

Recognizing a pattern you have seen earlier, just like the difference between squares

Simplify the following:

sqrt(11) * sqrt(11)

sqrt(11)  * sqrt(11) = 11:

Answer: 11

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Moshde needs to carry out 55 cuts and style to save at least $1,278 per month

Moshde charges $42 per haircut and style

Her monthly expenses is $1040

She wants to save $1278

The number of cuts and styles required is

1040 + 1278 /42

= 2318/42

= 55.2

Hence Moshde need to make 55 cuts and style to save at least $1278 per month

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According to the question, the given rational expression can be simplified and as shown below:

Rational expression = [tex]\frac{49-z^{2} }{z+7}[/tex]

To simplify the given rational expression, calculate the factors of the numerator as well as denominator. And later divide it from each other. These expressions are also called as polynomial expressions.

Rational expression = [tex]\frac{(7-z)(7+z)}{z+7} =\frac{(7-z)}{1} =7-z[/tex]

Therefore, final expression of the given equation is [tex]7-z.[/tex]

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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Yes , the given logarithm is a common logarithmic.

We have given an logarithm function which is [tex]log_{10}100[/tex]   ..... (1)

As , we can see that this log has a base of 10 so , it is a common logarithm.

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