Arnold Ackerman deposits $870 in a savings account at Home City Bank. The account pays an annual interest rate of 7 percent. He makes no other deposits or withdrawals. After three months the interest is calculated. How much simple interest does his money earn?

Answer:677

Step-by-step explanation         i dont know

Here it should be this

a) 300

b) 1732

As the name of the test suggests, you have to compute the derivative:

[tex]f(x) = \dfrac1{2x+3} \implies f'(x) = -\dfrac2{(2x+3)^2}[/tex]

Find where, if at all, the derivative vanishes or is undefined - these are the critical points of f(x).

In this case, the derivative is never 0 since the numerator is constant and the denominator is non-negative. You also see that f '(x) is negative over its entire domain.

The denominator goes to 0 when 2x + 3 = 0, or x = -3/2.

Now split up the domain of f(x) into intervals with endpoints at the critical points. Here, we consider the two intervals, (-∞, -3/2) and (-3/2, ∞).

Take any point from either interval and check the sign of f '(x) at that point. Any points will do, but you should strive to pick one that makes calculations simple.

• From (-∞, -3/2), take x = -2; then f ' (-2) = -2 < 0. Since f '(x) is negative over this interval, f(x) is decreasing over it.

• From (-3/2, ∞), take x = 0; then f ' (0) = -2/9 < 0. Again, this means f(x) is decreasing over this interval.

So, the first derivative test tells us that f(x) = 1/(2x + 3) is decreasing over the intervals (-∞, -3/2) and (-3/2, ∞); in other words, over its entire domain.

For the second function, we have

[tex]f(x) = \dfrac{x+1}{x+3} \implies f'(x) = \dfrac{(x+3)-(x+1)}{(x+3)^2} = \dfrac2{(x+3)^2}[/tex]

Again, there's only one critical point, this time at x = -3 where the derivative is undefined.

• From the interval (-∞, -3), take x = -4; then f ' (-4) = 2 > 0, so f(x) is increasing.

• From the interval (-3, ∞), take x = 0; then f ' (0) = 2/9 > 0, so f(x) is increasing.

Step-by-step explanation:

It's easier to graph when both equations are in its slope-intercept form, y = mx + b.

-2x -10y = 10

-2x + 2x - 10y = 2x + 10

-10y = 2x + 10

-10y/-10 = (2x + 10)/-10

y = -1/5x -1  [slope: -1/5, y-intercept (0, -1)]

-3x -15y = 15

-3x + 3x - 15y = 15

-15y = 3x + 15

-15y/-15 = (3x + 15)/-15

y = -1/5x - 1  [slope: -1/5,  y-intercept (0, -1)]

To graph this system, plot the y-intercept, (0, -1) on the graph, then use the slope, m = -1/5 (down 1 unit, run 5 units to the right). Repeat the process until you have enough points to connect and create a line.  

Because the given systems of linear equations are equivalent, their lines coincide on top of each other. This means that they have infinitely many points of intersection. Hence, they have infinite solutions.

8x + 6y = 24

6y = -8x + 24

6y/6 = (-8x + 24)/6

y = -4/3x + 4 [slope: -4/3, y-intercept (0, 4)]

4x + 3y = 9

3y = -4x + 9

3y/3 = (-4x + 9)/3

y = -4/3x + 3 [slope: -4/3, y-intercept (0, 3)]

Use the same techniques as described in the first part. Plot the y-intercepts on the graph, then use the slope of each equation to plot other points.

These lines are parallel, which implies that they will never intersect each other. Hence, there's no solution to this system.  

Attached are the screenshots of the graphed systems of linear equations.

Answer:Think of the equation as an equation for a line

y=mx+b

where in this case

C= 5 /9  (F−32)

or

C= 5 /9 F - 5/9 x 32

You can see the slope of the graph is  5 /9

, which means that for an increase of 1 degree Fahrenheit, the increase is  

5 /9  of 1 degree Celsius.

C= 5 /9 (F)

C= 5/9(1)

C=5/9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9/5 degrees Fahrenheit.

C= 5/ 9 (F)

1= 5 /9 (F)

(F)= 9 /5

Since  

9/5 = 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C= 5 /9 (F)

C= 5 /9 x 5/9

C=25/81

(which is≠1)

An increase of  5/9

degree Fahrenheit leads to an increase of  

25/81.

, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

9514 1404 393

Answer:

  28/25

Step-by-step explanation:

To make the number into a fraction, multiply and divide by 100:

  1.12 × 100/100 = 112/100

Recognize that numerator and denominator have a factor of 4 in common:

  112/100 = 28×4/(25×4) = 28/25

Answer:

Step-by-step explanation:

In point-slope form,

y - y1 = m(x - x1)

m = -4/3

x1 = 6

y1 = -3

y + 3 = (-4/3)(x - 6)

Answer:

5 hours

Step-by-step explanation:

120/60= 2

120/40= 3

3+2=5

9514 1404 393

Answer:

  2x -3y = -19

Step-by-step explanation:

Taking the differences between the given points, we have ...

  (Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)

The equation of the line can be written ...

  Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line

  4x -6y = 4(-2) -6(5) = -38

Dividing by 2 gives the standard form equation ...

  2x -3y = -19

_____

Additional comment

The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."

Answer:

y = 0.45x

Step-by-step explanation:

proportional relationships must pass through the point 0,0

both the x and y intercepts must equal 0

Answer:

3.5

Step-by-step explanation:

35% of 10 is the same thing as 0.35(10)

0.35 x 10 = 3 + (0.05 x 10) = 3 + 0.5 = 3.5

-Chetan K

Answer:

The answer is 8√2

Hope this helps

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-3*x+y-(10)=0

Pull out like factors :

-3x + y - 10 = -1 • (3x - y + 10)

Answer:

I believe there is an error with the problem

Step-by-step explanation:

3*6*2 + 2*6*3 + 6*2 = 36+36+12 = 84

The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126 so option (b) will be correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression

ab² + 2ab + a²

Now,

a = 6 and b= 3

So,

⇒  6(3)² + 2(6)(3) + 6²

⇒  36 + 54 + 36

⇒ 126

Hence "The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ5

Answer:

105

Step-by-step explanation:

Divide 951 by 9

Answer: The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6."

Step-by-step explanation:

you can write ratios as 3/6 , 3 to 6, or 3:6

Step-by-step explanation:

Since we arent given enough information to SOLVE for h, I will get as close as I can by rearranging the equation for h

Convert the fraction to a decimal for simplicity

A = 0.5(a + b)h

Divide both sides of the equals by 0.5

A/0.5 = (a + b)h

We can convert A/0.5 into its reciprocal

2 A = (a + b)h

Divide both sides of the equation by the bracketed (a + b)

(2 A)  /  (a + b) = h

Rewritten

Answer:

30; -5 is 5 units away from 0 and V is 25 units away from 0, and 5 + 25 = 30.

Step-by-step explanation:

To find the distance between point T, which has a value of -5, and V, which has a value of 25, we should find the absolute value of each number and then add those numbers together.

So, the absolute value of -5 is 5 and the absolute value of 25 is 25. 25 + 5 = 30, and this is the length of TV.

If you have any further questions or need clarification on anything, let me know!

Answer:

2(1 - 6d⁴)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(6 - 9d⁴) - (3d⁴ + 4)

Step 2: Simplify

Answer: the box and whisker plot looks like this, the pink line starts between 8 and 10, the box starts between 10 and 12, the middle is between 14 and 16, the right side of the box is between 18 and 20, and lastly the pink line on the right ends at 22.

Step-by-step explanation: I did the test

Answer:

14/2 i think

Step-by-step explanation:

Answer:

yes

no

yes

no

Step-by-step explanation:

You can tell it's negation when the word "not" is used.

Answer:

the answer is b

Step-by-step explanation:

Answer:

3 games played every Day

Step-by-step explanation:

So for Cowtown Bowling Center the cost of shoes is $2.50, and $4.00 per game

Then the Bowler is $3.25 for shoes and 3.75 per game

So to get the answer your gonna wanna set up the equation like

Saterday =$3.25+$3.75(x), then for

Sunday = $2.50+$4.00(x)

The X is how many games so if you plug in the same amount of game in both

Example

Saterday=$3.25+$3.75(2)=$10.75

Sunday = $2.50+$4.00(2)=$10.50

So if you do 3 then the totals will come out to be the same

Answer

Saterday=$3.25+$3.75(3)=$14.50

Sunday = $2.50+$4.00(3)=$14.50

Answer:

A familiar use of modular arithmetic is in the 12-hour clock, in which the day is divided into two 12-hour periods. If the time is 7:00 now, then 8 hours later it will be 3:00. Simple addition would result in 7 + 8 = 15, but clocks "wrap around" every 12 hours.

Step-by-step explanation:

hope It's can help

Answer:

b

Step-by-step explanation:

Answer:

[tex]2g[/tex]

Step-by-step explanation:

In other words, this problem is asking where Fishing Hook G is after it's 2 times deeper.  Let g = its previous depth. We do 2 * g = 2g.

Answer:

x - x/2 - (x/2)(3/4) - 3/4 = 0

x = 6

so, he spent 3 hours on the drums.