Sam opened a money-market account that pays 4% simple interest. He started the account with $7,000 and made no further deposits. When he closed the account, he had earned $560 in interest. How long did he keep his account open? A. 2 years B. 5 years C. 4 years D. 3 years
the answer is 2 years

For the given function f(x) = 2x³ + 6x² - 5x - 3 , g(x) = 3x - 4 , the value of

(f -g)(x) =  2x³ + 6x² -8x + 1 .

As given in the question,

Function is given by :

f(x) = 2x³ + 6x² - 5x - 3 , g(x) = 3x - 4

Substitute the value in the given function and simplified it ,

( f - g )(x)

=  { 2x³ + 6x² - 5x - 3 } - { 3x - 4 }

= 2x³ + 6x² - 5x - 3 -3x + 4

= 2x³ + 6x² -5x -3x -3 + 4

= 2x³ + 6x² - 8x + 1

Therefore,  for the given function f(x) = 2x³ + 6x² - 5x - 3 , g(x) = 3x - 4 , the value of (f -g)(x) =  2x³ + 6x² -8x + 1 .

The complete question is:

If for the given function ,

f(x) = 2x³ + 6x² - 5x - 3 , g(x) = 3x - 4

Find the value of (f - g)(x).

a. 2x³ + 6x² -8x + 1

b. 2x³ + 6x² + 2x+1

c. 2x³ + 6x² + 2x -7

d. 2x³ + 6x² + 8x⁷

Learn more about function here

brainly.com/question/5975436

#SPJ1

The result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756

The expression is

[tex]a^2bc[/tex]

The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operator are addition, subtraction, division and multiplication. The equal sign or inequality signs will not be a part of expression

The expression is

[tex]a^2bc[/tex]

The value of a = 3

The value of b = -14

The value of c = -6

Substitute the values in the expression

[tex]a^2bc[/tex] = [tex]3^2[/tex] × -14 × -6

= 9 × -14 × -6

= 756

Hence, the result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756

The complete question is:

Evaluate [tex]a^2bc[/tex] if a=3, b=-14 and c=-6

Learn more about expression here

brainly.com/question/14083225

#SPJ9

Answer: x = -10.7

Step-by-step explanation:

-10.7 + 4.3 = -6.4

Answer:The value of cos 60 degrees can be calculated by constructing an angle of 60° with the x-axis.

Step-by-step explanation:

Then finding the coordinates of the corresponding point (0.5, 0.866) on the unit circle.
The value of cos 60° is equal to the x-coordinate (0.5).
     ∴ cos 60° = 0.5.

The value of cos 60° using trigonometric ratio  is 1/2 or 0.5 .

What is trigonometric ratios?

There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here , the given is ,

=> cos60°

Since the cosine function is a periodic function, we can represent cos 60° as, cos 60 degrees = cos(60° + n × 360°),

Then

=> Cos 60° = 1/2 = 0.5.

Hence the value of cos 60° is 1/2 or 0.5.

To learn more about trigonometric ratio refer the below link

https://brainly.com/question/24349828

#SPJ4

Answer:

2/9 of the bleachers are rooting for the home team!

Answer:

ac + ad + bc + ad

Step-by-step explanation:

We are going to be using the FOIL (First, Outer, Inner, Last) method.

If we use this, we end up with:

ac + ad + bc + ad

The weight of each small box is 25 pounds while the weight of each large box is 45 pounds

We know that we can be able to find the mass of each type of box from the use of simultaneous equations. Al we need to do is to form two systems of equations. Let the weight of each small box be x and the weight of each large box be y then;

x + y = 70 ------ (1)

50x + 70y = 4000 ----- (2)

x = 70 - y ------ (3)

Substitute equation (3) into (2)

Then;

50(70 - y) + 70y = 4000

3500 - 50y + 70y = 4000

20y = 4000 - 3500

20 y = 500

y= 25

Then substitute y = 25 into equation (1)

x + 25 = 70

x = 70 - 25

x = 45

Learn more about equations:https://brainly.com/question/10413253

#SPJ1

Answer: 50, 99

Step-by-step explanation:

we just have to substitute the values of x and y in the given expressions.

7(2)+4(9)=50

4(9)+7(9)=99

Answer:

Step-by-step explanation:

7x + 4y= 50 and 4y + 7y= 99

Since, x=2 and y=9

7x + 4y= 7*2 + 7*9= 14 + 36= 50

and similarly

4y + 7y= 4*9 + 7*9= 36 + 63= 99

Check more about quadratic functions here:

https://brainly.com/question/27958964?referrer=searchResults

The number of ways he can form the teams would be = 336 ways.

Badminton is a type of racket game that makes use of single or double players where by they make use of a racket to hit a shuttlecock over the net to their opponents side.

The number of players available for the badminton game = 8

The number of teams to the formed = 4

To find the number of ways to form 4 double teams from these 8 players would be to find the factorials of 8 divided by factorial 4.

That is ;

8!/4! = 8×7×6×4×3×2×1/4×3×2×1

= 8064/ 24

= 336 ways.

Learn more about factorials here:

https://brainly.com/question/25997932

#SPJ1

Using simple mathematical operations, we know that Brandi's answer which is 404 is incorrect.

A mathematical function known as an "operation" in mathematics is one that converts zero or more input values into a precisely specified output value.

The quantity of operands has an impact on the operation's complexity.

Exponents, PEMDAS, parenthesis, multiplication, and division.

So, to check whether Brandi's answer is correct:

1621/4 = 404

So, to check it is ts correct, multiply 404 by 4.

If the answer is correct, then the product will be 1621.

If the answer is wrong, the product will not be 1621.

Calculate as follows:

404 × 4  = 1,616

Therefore, using simple mathematical operations, we know that Brandi's answer which is 404 is incorrect.

Know more about mathematical operations here:

brainly.com/question/28937023

#SPJ1

If the square banquet has area = 3600m² then length of the room is 60 m .

The Area of the Square with side "s" can be calculated using the formula

Area = s × s

In the question ,

it is given that ,

the area of the Square banquet is = 3600m²  ,

let the length of the side of the room be "s" .

So , By the Area of the Square formula ,

we get ,

s × s = 3600

s² = 3600

taking quare root both the sides ,

we get

√s² = √3600

s = 60

the side = 60m

Therefore , If the square banquet has area = 3600m² then length of the room is 60 m .

Learn more about Area here

https://brainly.com/question/13368194

#SPJ9

well, from the end of year 5 to the end of year 6 is only 1 year later, so

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$3315.30\\ P=\textit{original amount deposited}\dotfill & \$3203.19\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 3315.30=3203.19[1+(\frac{r}{100})(1)] \implies \cfrac{3315.30}{3203.19}=1+\cfrac{r}{100} \\\\\\ \cfrac{3315.30}{3203.19}-1=\cfrac{r}{100}\implies 100\left( \cfrac{3315.30}{3203.19}-1 \right)=r\implies \stackrel{\%}{3.5}\approx r[/tex]

For the given function, f(x)=(3.25)^x+6 As x decreases without bound, f(x) increases without bound

To describe the end behaviors of the function modeled by the graph,

f(x)=(3.25)^x+6

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Here,

The function given is,

f(x)=(3.25)^x+6

Given function contains equality so the function has no boundaries and the function is described from negative infinity to positive infinity, But the function has inverse behavior as when x is negative the function is positive.

Thus, for the given function, f(x)=(3.25)^x+6 asAs x decreases without bound, f(x) increases without bound

To learn more about function refer here:

brainly.com/question/21145944

#SPJ1

Inez had won the race.

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Thus, Inez had won the race.

Learn more about Sequence here:

https://brainly.in/question/46012600

#SPJ2

The solution to the system of linear equations u = v and 4u = 2v - 12 is (-6, -6)

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

u = v and 4u = 2v - 12

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (-6, -6)

Hence, the solution is (-6, -6)

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

The velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The time = 3.4 seconds

There is no air resistance.

v = 32t

v = 32(3.4)

v = 108.8 m/s

T = D/S = 50/108.8 = 0.45 seconds

Thus, the velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

Step-by-step explanation:

v+27°+4v+39+11v=180°

v+4v+11v+27°+39°=180°

16v+66=180°

16v=180°-66

16v=114

16v÷16=114÷16

v=7.125

Using the straight line method, the depreciation expense in year 1 and 2 is $14,000.

Using the double declining method, the depreciation expense in year 1 is  $29,600 and $17,760 in year 2.

Using the unit of production method, the depreciation expense in year 1 is $18,000 and $19,000 in year 2.

The straight line depreciation method is a depreciation method in which the the depreciation amount each year of the asset's useful life is the same.

Straight line depreciation = (cost of the asset - salvage value) / useful life

Cost of the asset = $70,000 + $3000 + $1000 = $74,000

Straight line depreciation = ($74,000 - $4,000) / 5  = $14,000

The double declining method entails depreciating an asset at twice the rate of the straight line method.

Depreciation expense = cost of the asset x depreciation factor

Depreciation factor = 2 x (1/useful life)

Depreciation expense in year 1 = (2 /5) x  $74,000 = $29,600

Book value in year 2 = $74,000 = $29,600  = $44,400

Depreciation expense in year 2 = (2 /5) x  $44,400 = $17,760

The depreciation in the unit of production method depends on the output of the machine each year.

Depreciation = (output in a year / total output) x (cost of the asset - salvage value)

Depreciation in year 1 = ($74,000 - $4,000) x (36,000 / 140,000) = $18,000

Depreciation in year 2 = ($74,000 - $4,000) x (38,000 / 140,000) = $19,000

To learn more about the unit of output depreciation method, please check: https://brainly.com/question/28019636

#SPJ1

Here is the rest of the question:

Units produced in Year 1 = 36,000 units

Units produced in Year 2 = 38,000 units.

The graph of the given function is attached below.

We are given a function. A function connects an input and an output. It is analogous to a machine with an input and an output. And the output is somehow related to the input.

The coordinates of several points are given. We need to graph the function by plotting the ordered pairs (0, 0), (10, 125), (20, 250), (30, 375), and (40, 500).

The function is a straight line. A straight line is a one-dimensional figure with an infinite length. It is made up of an infinite number of points connected on both sides of a point. We also need to draw the line through the points. The graph is attached below.

To learn more about functions, visit :

https://brainly.com/question/5975436

#SPJ1

⇒In this case I will use the law of exponents that states:

[tex](x^{m} )^{n} \\=x^{m*n}[/tex]

⇒[tex]=(-3x)^{2y*4} \\=(-3x)^{8y}[/tex]

Answer: 81x^8y^4

Step-by-step explanation:

1. DISTRIBUTE EXPONENT by using the power rule: (ab)^n = (a^n)(b^n)

> Apply PRODUCT RULE: -3x^2y = (-3x^2)^4y^4

>Apply PRODUCT RULE: -3x^2 = (-3)^4 (x^2)^4y^4

2. RAISE -3 to the power of 4 = 81(x^2)^4y^4

3. MULTIPLY THE EXPONENTS in (x^2)^4

> Apply POWER RULE and MULTIPLY EXPONENTS, (a^m)^n = a^mn

(81x^2*4)(y^4)

> MULTIPLY 2 by 4 = 81x^8y^4

And that is your answer, 81x^8y^4

The missing measure is  ∠P =∠X = 122°

Given △ACP ≅ △LNX

XL = 13 cm, m∠L = 29°

AC = 21 cm, m∠C = 29°

PC = 13 cm, m∠Y = ??  (there is no angle Y)

On the right shows the triangles are isosceles, with XL = XN. That means also PA = PC. Those side lengths are all the same: 13 cm.

PA = PC = XL = XN = 13 cm

In the same way, ...

LN = AC = 21 cm

Of course, the angles have a similar relationship:

∠A = ∠C = ∠L = ∠N = 29°

The two base angles in the triangle add to 58°, so the third angle is ...

180° -58° = 122°

∠P =∠X = 122°

As is often the case in over-specified problems, the numbers shown are not consistent. The length LN is actually incorrect for the angle and side specified for triangle ACP, or the angles are incorrect for the side lengths specified. What this means is that the answers you get will depend on how you work the problem. Above, we have taken the given numbers and relationships at face value, even though we know they are incorrect.

Hence the answer is The missing measure is  ∠P =∠X = 122°

To learn more about angels click here https://brainly.com/question/25716982

#SPJ9

Answer:

B. 12

Step-by-step explanation:

Answer:

A: Ira begins walking

B: Ira stops at a diner

C: Ira leaves the diner

D: Ira visits his grandmother

E: Ira walks from grandma’s house to home

Step-by-step explanation:

Hopes this helps please mark brainliest

Aria's vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.

Since Here d represents distance along the trail.

And, V(d) represents the vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail.

If the distance along the trial is 3 km.

That is, d = 3

Then the vertical distance she walked from the top of the valley = V(3)

But According to the question,

V(3) < 3

Her vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.

Hence, For going 3 km along the trail her vertical distance from the top of the valley is less than 3.

Learn more about Vertical Distance at:

https://brainly.com/question/4493830

#SPJ9

Answer:

she can just copy and paste by holding right click and dragging across all of document A and hit ctrl c then ctrl v at the bottom of document B

The team's time on their final run is 4.31 minutes.

According to the question,

We have the following information:

Their first run takes 4.85 minutes. On each of the next two runs, the team's time changes by -0.27 minute compared to the previous time.

Now, the second run will be 0.27 minutes less than 4.85 minutes.

Time for the second run = 4.58 minutes

Now, the third run will be the final run and 0.27 minutes less than the previous run.

Now, the time for the final run will be as given below:

4.58-0.27

4.31 minutes

Hence, the team's time on their final run is 4.31 minutes.

To know more about team's time here

https://brainly.com/question/29394890

#SPJ1

For the image 1, the angular values are x=9⁰ and y=23⁰

For the image 2, the angular values are x=9⁰ and y=14⁰

An angle is a figure in Euclidean geometry made up of two rays that share an endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are located in the plane where the rays are located. The meeting of two planes can also create an angle. Dihedral angles are what they are. A measure of an angle or of a rotation is also referred to as an angle. The ratio of a circular arc's length to radius is known as this quantity. A geometric angle's arc is centered at the vertex and is bound by its sides.

For the first image x and y values are,

As from the given figure,

(4y-2)⁰=90⁰

4y=90+2

y=92/4

y=23⁰

3x-6=21⁰

3x=27

x=9⁰

Therefore, x=9⁰ and y=23⁰

For the second image x and y values are,

2x+27=90/2

2x+27=45

2x=18

x=9⁰

4y-19=y+23

3y=42

y=14⁰

Therefore, x=9⁰ and y=14⁰

To know more about angle, visit:

https://brainly.com/question/28451077

#SPJ1