Calculate, to the nearest cent, the future value FV (in dollars) of an investment of $10,000 at the stated interest rate after the stated amount of time. 6% per year, compounded annually, after 7 years

Answer:

See below

Step-by-step explanation:

Slope of AB is correct

Slope of CD is incorrect

Slopes are different, lines are not parallel

Answer:

x=3

y=2

(3,2)

Step-by-step explanation:

Answer:

what is the topic?

Step-by-step explanation:

just want to give you the right answer

Answer:

the slope is 1/3

Step-by-step explanation:

Step-by-step explanation:

60x20:100=12

20%of 60 is 12

The answer is 60. 10 flacors times 6 cones to choose from. 10 times 6 is 60.

The number of ways possible for Gabe to choose ice creams cones is 60.

The ice cream shop offers 10 flavors of ice cream.

Gabe will choose one type of cone, one size, and one type of ice cream flavor.

Therefore,

The number of ways ice cream cones is possible for Gabe to choose is;

[tex]\rm = ^2C_1\times ^3C_1 \times ^{10}C_1\\\\= 2\times 3 \times 10\\\\=60[/tex]

Hence, The number of ways possible for Gabe to choose ice creams cones is 60.

To know more about Combination click the link given below.

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Answer:

acute hope it helps

Step-by-step explanation:

mark as brainiest

Construction of 30° acute angle

Answer:

x + 46

Step-by-step explanation:

Step 1: Write expression

4(-8x + 5) - (-33x - 26)

Step 2: Distribute

-32x + 20 + 33x + 26

Step 3: Combine like terms

x + 46

Answer: 5

Step-by-step explanation: just do 3 3/5 divided by 18/25 on a calculator

Answer:

x=5/2 and y=3

Step-by-step explanation:

since AC is a perpendicular bisector, BC=CD

[tex]6x-6=3y[/tex] so [tex]6x=3y+6[/tex]

if AC = a

using pythagorean theorem:

[tex](6x-6)^2 + a^2 = (6x+1)^2[/tex]

[tex](3y)^2 + a^2 = (5y+1)^2[/tex]

simplifies to:

[tex]36x^2-72x+36+a^2=36x^2+12x+1[/tex]

[tex]9y^2+a^2=25y^2+10y+1[/tex]

further simplifies to:

[tex]84x-35=a^2[/tex]

[tex]16y^2+10y+1=(8y+1)(2y+1)=a^2[/tex]

so we now have

[tex]84x-35=(8y+1)(2y+1)[/tex]

plugging the first equation in we get

[tex]42y+84-35=(8y+1)(2y+1)=16y^2+10y+1[/tex]

[tex]42y+49=16y^2+10y+1[/tex]

[tex]16y^2-32y-48=0[/tex]

[tex]y^2-2y-3=0[/tex]

[tex](y-3)(y+1)=0[/tex] so [tex]y=-1, y=3[/tex]

y=-1 is impossible, so y=3

therefore x=15/6=5/2

Answer:

$75

Step-by-step explanation:

Please mark Brainliest when you’re able.

Answer:

f(4)= 11

If g(x)=2, x=0

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write equation

4(x + 2) = 10

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

4(0.5 + 2) = 10

4(2.5) = 10

10 = 10

Answer:

It actually equals .5

Step-by-step explanation:

you have to distribute the 4 to the parenthesis, which will give you 4x+8=10, you subtract 8, which gives you 4x=2, you divide by 4, you get 1/2, decimal form .50

Answer:

16.4

Step-by-step explanation:

so , since this question stated there ARE coaches but does NOT say how many exactly , that's what you have to find out , so each coach can take 50 people each and there are 820 in total so you have to divide 820 by 5 and you get 16.4 . that means there must be 16.4 coaches to go but you cant split the coach into a 4th you have to round down (because the decimal is lower than 5 ) so then you'll get 16 coaches as your final answer

17 coaches are needed.

Given each coach can take 50 peoples to festivals and there are 820 people in total.

We have to calculate the no. of coaches.

Now no. of coaches is total no. of peoples divided by 50.

So, Coaches needed = [tex]\frac{820}{50}[/tex][tex]= 16.4[/tex]

But remember here no of coaches can't be in decimal so we have to round it off to nearest tens place, Hence no of coaches will be 17.

Hence 17 coaches are needed.

For more details on round off calculation follow the link:

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Answer:

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for y using Substitution

Step 4: Substitute y back into an original equation to solve for x

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find x - y

x = 14/25

y = -2/5

Hope this helped! :)

Answer:

[tex]\displaystyle x-y=\frac{24}{25}[/tex]

Step-by-step explanation:

We are given the system:

[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ 5x-3y=4& \quad \end{array} \right.[/tex]

And asked to find the value of x - y if (x, y) is a solution to the above system.

Thus, let's solve the system. We can use eliminiation

We can see that the coefficients of x share a LCM.

Multiplying the second equation by negative two yields:

[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ -10x+6y=-8 & \quad \end{array} \right.[/tex]

Adding the two equations yields:

[tex](10x-10x)+(-16y+6y)=(12+(-8))[/tex]

Simplify:

[tex]-10y=4[/tex]

Solve for y:

[tex]\displaystyle y = \frac{4}{(-10)} = -\frac{2}{5}[/tex]

To find x, substitute y for either equation and evaluate. The second equation states that:

[tex]5x-3y=4[/tex]

Substitute:

[tex]\displaystyle 5x-3\left(-\frac{2}{5}\right)=4[/tex]

Multiply:

[tex]\displaystyle 5x+\frac{6}{5}=4[/tex]

And solve for x:

[tex]\displaystyle \begin{aligned} 5x+\frac{6}{5} &= 4 \\ \\ 5x &= \frac{14}{5} \\ \\ x &= \frac{14}{25}\end{aligned}[/tex]

Hence, our solution to the system is:

[tex]\displaystyle \left(\frac{14}{25},- \frac{2}{5}\right)[/tex]

We want to find the value of:

[tex]x-y[/tex]

Substitute:

[tex]\displaystyle = \left(\frac{14}{25}\right) - \left(-\frac{2}{5}\right)[/tex]

Evaluate. Hence:

[tex]\displaystyle x - y = \frac{24}{25}[/tex]

And we're done!

Answer:

It has a slope of zero because the change in the y-values is 0.

Step-by-step explanation:

The line passes through points (9, 30) and (18, 30) and has a slope of zero because the change in the y-values is 0.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through the points (9, 30) and (18, 30).

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

∴ Slope(m) = (30 - 30)/(18 - 9).

Slope(m) = 0/9.

Slope(m) = 0.

The line has a slope of zero because the change in the y-values is 0.

So it must be a line parallel to the x-axis.

learn more about lines and slopes here :

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huh Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I used the graphing calculator on desmos

Answer:

15

Step-by-step explanation:

Answer:

205/3 meters or 68.33 meters

Step-by-step explanation:

Perimeter = 2W + 2L

L = 2W - 5

230 = 2W + 2(2W - 5)

230 = 2W + 4W - 10

230 = 6W - 10

220 = 6W

W = 110/3 or 36.67 m

Add the Width into the formula for L to find the length

L = 2(110/3) - 5

L = 205/3 m or 68.33 m

Answer:

1/2 pound

1 ounce

17,000 mcg

10grams

0.4

12 mg

Answer: No

Step-by-step explanation: The two variable, lets say that y = x5

This is an ex. of. a related function

If its and inequality, ex. y < x5 This can not be a function for it doesnt have an equal sign

Answer:

B

Step-by-step explanation:

Complementary means that when added up two angles will equal 90° so 90-15=75 means that B is the correct answer.

Answer:

1). m∠ACE = 115°

2). m(∠DCB) = 35°

3). m(∠ACB) = 30°

Step-by-step explanation:

In the diagram attached,

1). AB and CD are the parallel lines and the line AC is a transverse,

  m(∠ABC) = 35°

  m(∠BAC) = 115°

  ∠BAC ≅ ∠ACE [Alternate interior angles]

  m(∠ACE) = m(∠BAC) = 115°

2). Since, AB and CD are the parallel lines and line CB is a transverse,

   ∠ABC ≅ ∠DCB [Alternate interior angles]

    m(∠ABC) = m(∠DCB) = 35°

3). From ΔACB,

    m(∠ACB) + m(∠CBA) + m(BAC) = 180°

    m(∠ACB) + 35° + 115° = 180°

    m(∠ACB) = 30°

Answer:

x ≥ -2

Step-by-step explanation:

We see that x has to be greater than -2 but can include it as well. Therefore, we use the greater than or equal to sign.

x ≥ -2