Keiko deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 5 years?

Answer:

6

Step-by-step explanation:

Answer:

the equation should be c=768/s or c s=768.

Step-by-step explanation:

This situation involves inverse variation, so the equation will either take the form c=6/3 or the form cs=k.

To write a general equation for this situation, find the value of k. Use the form cs=k and the point (128,6) since the container can fill 128 cups holding 6 ounces each.

cs=k

(128)x(6)=k

768=k

Using 768 for k, the general equation is c=768/s or cs=768.

The equation for the number of cups for a specific size can be written as c = 768/x.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The amount of drinks carried by each cup is 6 ounces.

And, the total number of cups are 128.

Then,the total amount of drink is 128 × 6 = 768 ounces.

Suppose the number of cups be c.

And, the size of each cup be x.

The following equation can be written for the number of cups as,

c = 768/x

Hence, the equation that describes the number of cups for the given case is c = 768/x.

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Answer: B and D

Step-by-step explanation:

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0-3}{2-0}[/tex] = - [tex]\frac{3}{2}[/tex]

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line

Answer:

find the dirivitev

Step-by-step explanation:

Answer:

2b + 2c

35h + 15m

ef + eg

Step-by-step explanation:

you just individually multiply everything inside the parentheses by the number on the outside.

Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

The coordinates of T are (3, 20).

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

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Answer:

B

Step-by-step explanation:

[tex] \sqrt{x} < \sqrt{16} [/tex]

=x<4

Answer:

did they give u some initial numbers to substitute with or something?

Correct Question is:

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

1. The graph of h(x) passes the vertical line test.

2. The graph of the inverse of h(x) is a vertical line.

3. The graph of the inverse of h(x) passes the horizontal line test.

4. The graph of h(x) passes the horizontal line test.

Step-by-step explanation:

Answer is Option 2: The graph of the inverse of h(x) is a vertical line.

A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a

If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.

So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.

Answer:

The answer is 35 degrees because 60-25=35.

Step-by-step explanation:

So the arrow goes through (-2 and -2) so your answer would be -4

-2+-2=-4

Hope this helps

Answer:

Decimal form:0.23529411764

Fraction form:

Step-by-step explanation:As a decimal fraction:

23529411764/100000000000

The Greatest Common Factor

of 23529411764 and 100000000000 is:4

Simplify the fraction:

23529411764 / 4

100000000000 / 4

Simplified:

5882352941/25000000000

ok the answer is b

Step-by-step explanation:

Answer:

110-16.50=93.50

93.50÷11= 8.5

answer is 8 people

Answer:

Inequality: 11x+16.5\le11011x+16.5≤110

Answer: x \le 8.5x≤8.5

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]

The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (5, 13) and (-8, -9)

[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]

d = √(169+484)

d = 25.55 units ≈ 25.6 units

Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

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Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

The white squares

[tex]a = 2[/tex] --- initial

[tex]d = 4 - 2 = 6 - 4[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]W_n = a + (n - 1)d[/tex]

[tex]W_n = 2 + (n - 1)*2[/tex]

[tex]W_n = 2 + 2n - 2[/tex]

[tex]W_n = 2n[/tex]

The gray squares

[tex]a = 6[/tex] --- initial

[tex]d = 8-6=10-8[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]G_n = a + (n - 1)d[/tex]

[tex]G_n = 6 + (n - 1) *2[/tex]

[tex]G_n = 6 + 2n - 2[/tex]

[tex]G_n = 4 + 2n[/tex]

When the white squares is 16

[tex]W_n = 16[/tex] --- Calculate n

[tex]W_n = 2n[/tex]

[tex]16 = 2n[/tex]

[tex]8 = n[/tex]

[tex]n = 8[/tex]

To get the number of gray squares;

Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]

[tex]G_n = 4 + 2 * 8[/tex]

[tex]G_n = 20[/tex]

[tex]{ \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 5x - 36}{x + 2} \div ( {x}^{2} - 18x + 81)}}}} \\ \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( {x}^{2} - (9x - 4x)- 36)}{x + 2} \div ( {x}^{2} - (9x + 9x) + 81)}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 9x + 4x - 36 }{x + 2} \div( {x}^{2} - 9x - 9x + 81)}}}}[/tex]

[tex]{ \dashrightarrow{ \sf{ \green{ \frac{x(x + 4) - 9(x + 4)}{x + 2} \div (x(x - 9) - 9(x - 9))}}}} \\ \\ \\ { \dashrightarrow { \sf{ \green{ \frac{(x + 4)(x - 9)}{(x + 2)} \div ((x - 9)(x - 9))}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( x + 4)(x - 9)}{(x + 2)(x - 9)(x - 9)}}}}} [/tex]

[tex]{ \dashrightarrow{ \underline{ \sf{ \green{ \frac{(x + 4)}{(x + 2)(x - 9)}}}}}} \\ \\ \\ [/tex]

Answer:

Angle BAC = 62.35

Step-by-step explanation:

Here, we want to get the angle marked BAC

From the diagram, we have the angle ABC as 90

This is because angle at the center is twice the angle at the circumference

Furthermore, using the arc angle relationship;

angle ACB is half arc AB

so ACB angle is 55.3/2 = 27.65

mathematically;

Angle BAC + 27.65 + 90 = 180

This is because sum of angles in a triangle is 180

Thus;

angle BAC = 180-90 - 27.65

angle BAC = 62.35

The value of x in the hexagon is 17.

A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.

Therefore, x can be found in the hexagon as follows:

we have to sum the whole angles to get x.

110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720

combine like terms

110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x  = 720

278 + 26x = 720

subtract 278 from both sides of the equation

278 + 26x = 720

278 - 278 + 26x = 720 - 278

26x = 442

divide both sides by 26

x = 442 / 26

x = 17

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Answer:

6x-3

Step-by-step explanation:

remove breceket

3×2 =6

3×-1= -3

answer is 6x-3

Answer:

angle KPL = 70 degree

Step-by-step explanation:

A straight line will equal 180 degrees

To find angle IPN, add angles NPM (60) and IPJ (50) and subtract the number from the straight line (180)

60 + 50 + IPN = 180

110 + IPN = 180

IPN = 70

IPN is a congruent angle to KPL

Congruent means they will equal the same

IPN = KPL

70 = 70

We can check our work by adding NPM (60) and KPL (70) and subtracting the sum from the straight line (180). Our answer should be the same as IPJ (50) as MPL is congruent to IPJ

60 + 70 + MPL = 180

130 + MPL = 180

MPL = 50

Correct

Answer:

y=f(x)

Step-by-step explanation:

This means it falls under x axis

Q2. f(x) moves to the left

Q3. moves to the right

Answer:

[tex]\Huge\boxed{B}[/tex]

Step-by-step explanation:

Hello There!

The area of a rectangle is equal to length times width

2*9=18 so the area of the rectangle is 18 square feet

If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle

18/2=9 so the area of the triangle is 9 square feet

Answer:7

Step-by-step explanation:

Answer:

I'm sure it is 25 hope this helps!!!

Answer:

Should be 25

Step-by-step explanation:

Lol is that pearson realize? i hate that buddy good luck