If you received $175.84 on $314 invested at a rate of 7%, for how long did you invest the principal?

Answer:

Answer down below!

Step-by-step explanation:

Let's start off by finding a point in the graph where we can start off on

This point that we can use it (0,-3)

From there, we use rise/run to find the slope

We go up 1 and over 1

Thus, our slope is 1!

Answer:

See below

Step-by-step explanation:

Answer:

Step-by-step explanation:

ewerwerer

The general form of equation a) y = 2, b) x = -4.

Here the point A = (-4,2)

a) we have to find the equation parallel to the x-axis

As a line should be parallel to x axis so it must pass from y-axis. As the coordinate of A is (-4, 2) so by this we get y = 2 and x = -4.

But we have to put the value of x as 0 and y = 2 then only we get an equation of a line parallel to x-axis.

So y = 2

which is parallel to x-axis

b) equation of a line perpendicular to the x-axis.

As a line should be perpendicular to x-axis, so line should pass form the x-axis and not with the y-axis. As point A is (-4. 2), so we have to take the value of x = -4 and y = 0. So we get an equation.

x = -4 is the general equation.

Therefore the general equation a) y =2 and b) x =-4.

To know more about the general equation of line refer to the link given below:

https://brainly.com/question/18831322

#SPJ1

Answer:

The red dot is between -7 and -8 on the number line so it has a fractional or decimal value. The number of equal parts from one whole number to the next whole number is the number in the denominator. The number of equal parts from -7 to the red dot is the number in the numerator.

Step-by-step explanation:

Answer:

pi/2

Step-by-step explanation:

sqrt(2) is around 1.4

sqrt(pi) is around 1.75

sqrt(4) is 2

So only option left is pi/2 which is around 1.57

Answer:

x=0

Step-by-step explanation:

3=2x+3

Subtract 3 on both sides

0=2x

x=0

Answer:

58/9 = x

Step-by-step explanation:

3(x-5) + 2(3x-1) = 41

Expand:

(3x-15) + (6x-2) = 41

Simplify:

9x-17 = 41

9x = 58

x = 58/9

Hope that helps

After solving the quadratic equation x² + 3x = 40 using the quadratic formula, (A)  x = –8, x = 5  

We can solve this quadratic formula by following a few steps.

The given equation is,

x² + 3x =40

Let's subtract 40 from both sides,

x² + 3x - 40 =40 - 40

Or, x² + 3x - 40 = 0

Now, we have to find a suitable pair of factors of -40 which is capable to generate +3 ( coefficient of x ).

The required pair is 8 and -5, and ( 8 - 5 ) = 3    

[ -40 = 8 × -5 ]

Therefore, x² + 3x - 40 = 0

Or, x² + ( 8 - 5 )x - 40 = 0

Or, x² + 8x - 5x - 40 = 0

Or, x ( x + 8 ) - 5 ( x + 8 ) = 0   [ taking x and 5  as common ]

Or, ( x + 8 ) ( x - 5 ) = 0            [ taking ( x + 8 ) as common ]

If the multiplication or product of two or more terms is zero, then we can write each term as zero.

               ( x + 8 ) = 0

               Or, x = -8        ( by subtracting 8 from both sides )

              ( x - 5 ) = 0

              Or, x = 5           ( by adding +5 with both sides )

Now, we can conclude that x = -8 and 5.    

To know more about quadratic equations visit,

https://brainly.com/question/17177510?referrer=searchResults

#SPJ9

Answer:

d  138

Step-by-step explanation:

<5 is vertical to <2, so they are congruent.

<2 is corresponding to the 138° angle, so they are congruent.

m<5 = m<2 = 138°

Answer: d  138

Answer:

A , B, D, F

Step-by-step explanation:

A) ∠1 ≅ ∠ 4    {Vertically opposite angles are congruent}

B) m∠2 + ∠4 + ∠6 = 180°    {Straight line angles}

    ∠6 ≅ ∠3

⇒ ∠2 + ∠4 + ∠3 = 180°

D) ∠2 + ∠3 + ∠4 = 180°   {Straight line angles}

f) ∠2 + ∠3 = ∠5 + ∠6   {Vertically opposite angles}

The equation in slope-intercept form of the line passing through the given points is,  y = (-1/2)x + 1

A table containing values of x and y is given:

x           y

-2          2

0           1

2           0

4           -1

So the points on the line are:

(-2,2), (0,1), (2,0) and (4,-1)

The equation in slope-intercept form of a line is,

   y = mx + c,

where m is the slope of the line and c, the y-intercept of the line.

So we need to find the slope and the y-intercept of the line from the given table values.

Let (x₁, y₁) = (-2,2) and (x₂, y₂) = (0,1).

Then slope of the line, m = (y₂-y₁)/(x₂-x₁)

                                           = (1-2)/(0- -2)

                                           = -1/2

The y-intercept of a line is the y-co-ordinate of the point which intersect the y-axis. I.e., it is the y-co-ordinate of the point at which x = 0.

From the table, when x = 0, y = 1.

Hence the y-intercept, c = 1.

So finally, the equation in slope-intercept form of the line is,

y = (-1/2)x + 1

The question is incomplete. Find the complete question below:

Find an equation in slope-intercept form of the line that passes through the given points.

x           y

-2          2

0           1

2           0

4           -1

Learn more about slope-intercept form at https://brainly.com/question/1884491

#SPJ1

EXPLANATION:

Given;

We are given a graph of a function.

Required;

We are required to determine from the graph if the function is even, odd or neither even nor odd.

Solution:

To determine this from a graph, we should note that a function which is symmetrical with the y-axis is an even function. The graph which is symmetrical with the origin after a 180 degree rotation is an odd function.

Observe that if this graph is flipped from left to right (across the y-axis), it would not retain its original shape.

However, if the graph is rotated 180 degrees about the origin, it would retain its original shape.

Therefore, the graph depicted is an odd function

ANSWER:

The function is an ODD function

Answer:

l=4.5

Step-by-step explanation:

The area of a rectangle is length times width.

Area = LW

L = length

W = width

L = Area / W

L = 45 / 10

L = 4.5

You cannot replace a type of formatting inside a cell with a different type of formatting.

Your search string is treated as a pattern by the dialog box, which then returns all records that do. Consider the case where you have a datasheet (a table or a query result) with details on clients, vendors, goods, and order dates. The find operation returns all occurrences of "mar" when you perform a search, along with any additional entries that meet the pattern you supplied.

The dialog box doesn't scan the full database; it simply searches one table at a time. You can search the table that supports a form if the dialog box is opened from within one.

For some features provided by the Find and Replace dialog box the search and replace feature can't accept the following condition.

That a user cannot replace a type of formatting inside a cell with a different type of formatting.

To learn more about Formatting click here:

brainly.com/question/21934838

#SPJ4

The product of 54 and 2.2*10^6 expressed in scientific notation 1.188 x 10⁸

Formulate the following given the conditions: 54 × 2.2 × 106

Incorporate and multiply: (54 x 2.2) = 106

Determine the quotient or product:

118.8 × 106

Write the amount in scientific notation as follows: 1.188 108

1.188 108 written in scientific notation

Solution: 1.188 x 10⁸

To learn more about scientific notation from given link

https://brainly.com/question/1767229

#SPJ10

Answer:

1500

Step-by-step explanation:

Answer:

24 cans=72 people

1 people = 24÷72 cans

39 people = 24÷72×39 cans

=13 cans

Answer: the answer is (0,-8)

Answer: 12x-8y

- Hope this helped.

Answer:

12x-8y

Step-by-step explanation:

combine 10x and 2x

the combine (-5y) and (-3y)

The given series is a geometric sequence with a common ratio of 1/2 it is also written as 0.5.

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Number sequences are groups of numbers that adhere to a pattern or rule. A geometric sequence is one in which the rule is to multiply or divide by a specific number each time.

We have,

20, 10, 5, …

The distinction between consecutive terms is:

10 - 20 = -10

5 - 10 = -5

Since -10 ≠ -5, therefore the given series has no standard difference, which means the given sequence is not arithmetic.

The ratio between consecutive terms is:

10/20 = 1/2

5/10 = 1/2

The given series has a common ratio of 1/2, which means the given sequence is geometric.  it is also written as 0.5.

To learn more about geometric sequence, refer to:

https://brainly.com/question/28188245

#SPJ13

The perimeter of the rectangular tennis court is 96.7 m

An equation shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width. A rectangular tennis court has an area of 528 m², hence:

Area = length * width

528 = xy

y = 528/x

If the length is decreased by 1 m and the width is increased by 1 m, the area of the tennis court is increased by 16 m². Hence:

new area = new length * new width

528 + 16 = (x - 1)(y + 1)

xy + x - y + 1 = 544

x(528/x) + x - 528/x + 1 = 544

528 + x - 528/x + 1 = 544

multiplying through by x:

528x + x² - 528 + x = 544x

x² -15x - 528 = 0

x = 31.67, hence y = 528/31.67 = 16.67

Perimeter = 2(x + y) = 2(31.67 + 16.67)

Perimeter = 96.7 m

The perimeter is 96.7 m

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

v = 8

Step-by-step explanation:

[tex]2(2v + 9) = 50[/tex]

[tex]2v + 9 = 25[/tex]

[tex]2v = 16[/tex]

[tex]v = 8[/tex]

 A function is a relationship between inputs where each input is related to exactly one output.

The outputs are called the range

The range of the function:

R = {-1, 0, 3}

Option C is the correct answer.

 A function is a relationship between inputs where each input is related to exactly one output.

A function has an input and an output.

Example:

f(x) = x + 1

f(1) = 1 + 1 = 2

Input = domain = 1

Output = range = 2

We have,

Function:

y = x² - 1

The domain of a function = {-2, -1, 0, 1, 2 }

Let y = f(x)

x = -2, -1, 0, 1, 2.

f(-2) = 4 - 1 = 3

f(-1) = 1 - 1 = 0

f(0) = 0 - 1 = -1

f(1) = 1 - 1 = 0

f(2) = 4 - 1 = 3

Thus,

The range of the function:

R = {-1, 0, 3}

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Primarily use the Distributive Property to solve this equation.

3(5 - x) - 2(5 + x) = 3(x + 1)

Distribute the outer terms.

3(5) + 3(-x) - 2(5) - 2(x) = 3(x) + 3(1)
15 - 3x - 10 - 2x = 3x + 3
-3x - 2x + 15 - 10 = 3x + 3
-5x + 5 = 3x + 3

Now, isolate all x terms.

-5x + 5x + 5 = 3x + 5x + 3
5 = 8x + 3
5 - 3 = 8x + 3 - 3
2 = 8x
2/8 = 8x/8
x = 1/4

The value of x in the given figure is 10.

In the given triangle,

∠ADC = ∠BDC =  90°

Hence the triangles ΔACD and ΔBCD are right-angle triangles. Thus we can apply Pythagoras' theorem in both triangles.

So in ΔACD,

CB² = BD² + DC²

And in ΔBCD,

CA² = AD²+ DC²

But, CA = 15 and CB = x + 5

So, (x + 5)² = BD² + DC²

15² = AD² + DC²

⇒225 = AD² + DC²

Here, BD = AD as given in the figure

Replacing BD with AD in the first equation we get,

(x + 5)² = AD² + DC²

Now, equate the values of AD² + DC² to obtain the value of x,

(x + 5)² = 225

⇒ x² + 25 + 10x = 225

⇒ x² + 10x - 200 = 0

⇒ x² + 20x - 10x - 200 = 0

⇒x(x + 20) - 10(x + 20) = 0

⇒(x + 20)(x - 10) = 0

Thus x = -20, 10

Hence the value of x is 10.

To learn more about Pythagoras' Theorem visit:

https://brainly.com/question/21926466

#SPJ13

By solving equations, we can conclude that there are 30 oatmeals in the jar.

So, a number of oatmeals are in the jar.

The total number of cookies is 54.

From the equation:

Now, solve for 'x' as follows:

Number of oatmeals when "x = 6':

Therefore, by solving equations, we can conclude that there are 30 oatmeals in the jar.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ13

Answer:

A question you will ask the people in your sample.