What is the simple
interest for a loan of $50
for 2 years at an interest
rate of 6 percent?

Answer:

D.

Step-by-step explanation:

The dot in the answer means multiply.

Steps to solve:

8^3

~Simplify

8 * 8 * 8

~Multiply all

4,096

Best of Luck!

Answer:

760

Step-by-step explanation:

95 x 800 / 100 = 760

Answer:

760

Step-by-step explanation:

95 percent *800 =

(95:100)*800 =

(95*800):100 =

76000:100 = 760

The product of two linear functions having same variables will be a quadratic function where as the The product of two linear functions having different variables will be a linear function.

Linear function is the function whose degree is 1.

Degree of a function is the highest power of the variable of the function.

Let us take two examples.

1. Suppose the two linear functions are -

f(x) = 2x + 3 and g (x) = x + 5

The product of f(x) and g(x) will be

(2x + 3)(x + 5)

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

= 2x² + 10x + 3x + 15

= 2x² + 13x + 15

Here, f(x) and g(x) are the functions having same variables so there product is a quadratic function.

2. Suppose the two linear functions are -

f(x) = 2x + 3 and g (y) = y + 5

The product of f(x) and g(y) will be

(2x + 3)(y + 5)

=2x (y + 5) + 3 (y + 5)

= 2xy + 10x + 3y + 15

Here, f(x) and g(y) are the functions having different variables so there product is a linear function.

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Answer:

100

Step-by-step explanation:

30-28=100 if u round it to thr nearest hundreth because

30 2-2=0

- 18-8=10

-28

10 rounded to tye nearest hunderth is 100

Answer:

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

Answer:

\((x,y)=\left(\; \boxed{0,0} \; \right)\quad \textsf{(smaller $x$-value)}\)

\((x,y)=\left(\; \boxed{\dfrac{1}{10},\dfrac{1}{200}} \; \right)\quad \textsf{(larger $x$-value)}\)

Step-by-step explanation:

Given system of equations:

\(\begin{cases}2y=x^2\\ \;\;y=5x^3\end{cases}\)

To solve by the method of substitution, substitute the second equation into the first equation and rearrange so that the equation equals zero:

\(\begin{aligned}y=5x^3 \implies 2(5x^3)&=x^2\\10x^3&=x^2\\10x^3-x^2&=0\\\end{aligned}\)

Factor the equation:

\(\begin{aligned}10x^3-x^2&=0\\x^2(10x-1)&=0\end{aligned}\)

Apply the zero-product property and solve for x:

\(x^2=0 \implies x=0\)

\(10x-1=0 \implies x=\dfrac{1}{10}\)

Substitute the found values of x into the second equation and solve for y:

\(\begin{aligned}x=0 \implies y&=5(0)^3\\y&=0\end{aligned}\)

\(\begin{aligned}x=0 \implies y&=5\left(\dfrac{1}{10}\right)^3\\y&=5 \cdot \dfrac{1}{1000}\\y&=\dfrac{1}{200}\end{aligned}\)

Therefore, the solutions are:

\((x,y)=\left(\; \boxed{0,0} \; \right)\quad \textsf{(smaller $x$-value)}\)

\((x,y)=\left(\; \boxed{\dfrac{1}{10},\dfrac{1}{200}} \; \right)\quad \textsf{(larger $x$-value)}\)

Answer:

It is B

Step-by-step explanation:

It is the graph of f (x) reflected about the x-axis and shrunk vertically by a factor of 10.

Answer:

B.

It is the graph of f(x) translated 3 units down.

Step-by-step explanation:

Popular Problems Algebra Solve for h A=1/2h(b+B)

A = 1/2h (b+B)

h=2Ab+B

Explanation

Popular Problems Algebra Solve for h A=1/2h(b+B)

A= 1/2 h(b+B)

Rewrite the equation as

1/2⋅(h(b+B))=A.

1/2⋅(h(b+B))=A

Multiply both sides of the equation by 2.

2(1/2⋅(h(b+B)))=2A

hb+hB=2A

Factor h out of hb+hB.

h(b+B)=2A

Divide each term in h(b+B)=2A by b+B and simplify.

h=2Ab+B

How is algebra solved?

A General Rule for Equation Solving

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Answer:

a) Discrete

b) Continuous

c) Continuous

d) Discrete

e)Discrete

Step-by-step explanation:

Continuous:

Real numbers, can be integer, decimal, etc.

Discrete:

Only integer(countable values). So can be 0,1,2...

a. The number of people in a restaurant that has a capacity of 100.

You cannot have half a person, for example.

The possible number of people in the restaurant are 0, 1, 2,..., 100. So this variable is discrete.

b. The height of a randomly selected giraffe.

The giraffe can have half a meter, for example. That is, the height can be a decimal number. So this variable is continuous

c. The square footage of a house.

You can have half a square, for example. So this variable is continuous.

d. The number of light bulbs that burn out in the next week in a room with 10 bulbs.

Possible values: 0 bulbs, 1 bulb, ..., 10 bulbs

Only countable values.

So discrete

e. The number of points scored during a basketball game.

0 points, 1 point, 2 points, 10 points, ...

There are no half points in basketball.

So discrete

Answer:

1464843750

Step-by-step explanation:

an= 6*-5^12

9514 1404 393

Answer:

  A.  1/2

Step-by-step explanation:

The points on a unit circle are (cos(θ), sin(θ)), where θ is the angle from the +x axis to to the ray from the origin through that point.

If the point is (√3/2, 1/2), then sin(θ) = 1/2.

Answer:

4.7 or 4.71

Step-by-step explanation:

jdjdjdjdjdjhr

Answer: 3/4 hour

Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.

Answer:

Lizzie practiced for 7 + 4 + 14 + 20 = 45 minutes on Thursday and Friday altogether.

Step-by-step explanation:

Answer:

9 / 12

Step-by-step explanation:

2 / 4

= ( 2 / 4 ) x ( 3 / 3 )

= ( 2 x 3 ) / ( 4 x 3 )

= 6 / 12

3 / 12 + 2 / 4

= 3 / 12 + 6 / 12

= ( 3 + 6 ) / 12

= 9 / 12

Step-by-step explanation:

\( \bf \underline{Given-} \\ \)

\( \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ \)

\( \bf \underline{To \: find-} \\ \)

\(\textsf{between there sum = ?}\\\)

\( \bf \underline{Solution-} \\ \)

\( \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ \)

\( \leadsto \: \sf{ \frac{3}{12} \: + \: \frac{2}{4} } \\ \)

Process how to find LCM of 4 and 12↓

\( \sf{\mathsf{\begin{array}{r | l} \underline2& \underline4 \: \underline {12 } \\\underline 2&\underline2 \:\underline 6 \\\underline3&\underline1 \: \underline3 \\ &\underline1 \: \underline1 \\ \end{array}} }\\ \)

\( \sf{ LCM} = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12 \\ \)

\( \sf \leadsto{ \: \frac{3 + 6}{12} } \\ \)

\( \sf \leadsto{ \: \frac{9}{12} } \\ \)

\( \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ \)

Therefore, the sum of 3/12 and 2/4 is 3/4.

x=64Step-by-step explanation:

Answer:

4 asa

it's your correct answer

Step-by-step explanation:

i hope it's helpful for you

Answer:

249798.8

Hope this helps! <3

Step-by-step explanation:

B. Yes, we are 99% confident that the population mean is within the interval.

C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.

D. No.  Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9.  So the interval minimum would still be higher than 225.

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).

The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.

We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .

Factorization by grouping:

We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.

This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)

Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).

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Step-by-step explanation:

Explanation is in the attachment

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

Answer:

Step-by-step explanation:

The equation of a line in

point-slope form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

−

y

1

=

m

(

x

−

x

1

)

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−

where m represents the slope and

(

x

1

,

y

1

)

a point on the line

here

m

=

−

2

and

(

x

1

,

y

1

)

=

(

3

,

0

)

⇒

y

−

0

=

−

2

(

x

−

3

)

⇒

y

=

−

2

(

x

−

3

)

←

in point-slope form

Answer:

\(\huge\boxed{\sf x = 3}\)

Step-by-step explanation:

f(x) = 3x - 5

Given that, f(x) = 4

Put it in the above equation.

4 = 3x - 5

Add 5 to both sides

4 + 5 = 3x

9 = 3x

Divide 3 to both sides

3 = x

x = 3

\(\rule[225]{225}{2}\)

Answer:

24,26,28

Step-by-step explanation:

78 divided by 3 is 26, which means that 26 is the middle number and the next even number that is lower and bigger are the other two integers. You divide it by 3 because it's 3 consecutive even intergers

Answer:

Pigeonhole Principle

Step-by-step explanation:

From series {1,2......2n} ; we need to select 'n + 1' integers.

Even integers series from above series = {2,4,6..........2(n-1), 2n}

Odd integers series from above series = {1,3,5........2(n-2), 2n-1}

So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.

The Event of choosing a letter from F to D is

n(A) = 4

A series of possible results from an experiment that have been given a probability is called an event. Separate events in an experiment may not be equally probable, since they may involve vastly dissimilar sets of outcomes, and a single result may be a component of many different events.

Given that a bag contains eight different balls, each of which is labeled from A to H. Given that a ball is selected at random, and the letter it lands on is written down as the result. Given that there is an equal chance of drawing any one of the balls, the sample space for drawing one ball is

Generally, the equation for S is  mathematically given as

S = {A,B,C,D,E,F,G,H} and n(S) = 8

Therefore

G = The event of choosing a label from D to F

Where

F= {A,B,C,D}  

Sample size

n(A) = 4

In conclusion,

n(A) = 4

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