7. A car that was originally worth $29,500 depreciates at a rate of $2,500 per year. Find the
value of the car after six years.

Answer: $28,575.05

Step-by-step explanation:

Formula: FV = (1+r/n)^nt

FV = future value of the deposit

P = principal or amount of money deposited

r = annual interest rate (in decimal form)

n = number of times compounded per year

t = time in years.

3,500(1+7.25%)^30=28,575.05468

Answer:

length=48cm

Step-by-step explanation:

a²+14²=50²

a²+196=2500

a²=2304

a=48

Answer:

well then... idek sorry :(

Step-by-step explanation:

please mark brainliest

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I hope it's right uwuwuwu

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

Answer:

360

Step-by-step explanation:

hope this helps.

Answer: The line is dotted and shaded above

Answer:

[tex]y=-2x+13[/tex]

Step-by-step explanation:

For reference, slope-intercept form is:

[tex]y=mx+b[/tex]

[tex](m=slope)[/tex]

[tex](b=y-intercept)[/tex]

For the equation [tex]2x+y=13[/tex] to be written in slope-intercept form, all we must do is subtract [tex]2x[/tex] from both sides of the equation:

[tex]2x+y=13[/tex]

[tex]y=-2x+13[/tex]

Answer:

3 baby carrots, 4 crackers and 6 grapes

Step-by-step explanation:

Given

[tex]Baby\ Carrots = 9[/tex]

[tex]Crackers = 12[/tex]

[tex]Grapes = 18[/tex]

Required

Determine the number of each food item in a lunch box

First we need to get the number of lunch boxes by calculating the GCF of 9, 12 and 18

[tex]9 = 3 * 3[/tex]

[tex]12 = 2 * 2 * 3[/tex]

[tex]18 = 2 * 3 * 3[/tex]

The GCF is:

[tex]GCF = 3[/tex]

This implies that the number of lunch boxes is 3.

If there are 3 lunch boxes:

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

Answer: 55

Step-by-step explanation:

67

Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

(a) Triangle

Given that:

[tex]Base = 27cm[/tex]

[tex]Height = 16cm[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 27cm \times 16cm[/tex]

[tex]Area = 216cm^2[/tex]

(b) Square

Given that:

[tex]Length = 17.6mm[/tex]

The area is:

[tex]Area = Length^2[/tex]

[tex]Area = (17.6mm)^2[/tex]

[tex]Area = 309.76mm^2[/tex]

(c) Semi-circle

Given that:

[tex]diameter =44in[/tex]

First, calculate the radius (r)

[tex]r = 0.5 \times diameter[/tex]

[tex]r = 0.5 \times 44in[/tex]

[tex]r = 22in[/tex]

The area is:

[tex]Area = \frac{\pi r^2}{2}[/tex]

[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]

[tex]Area = 760.61in^2[/tex]

(d) Triangle

Given that:

[tex]Base = 20.4in[/tex]

[tex]Height = 14.6in[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]

[tex]Area = 148.92in^2[/tex]

Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

Read more about areas at:

https://brainly.com/question/16418397

Answer:

24x1.35=32.4

He should have recieved $32.40 in change.

Answer:

He spent 20,000 points on the castle and 12,000 points on the spell.

Step-by-step explanation:

It says that he spent 5/8 points on the castle

32000/1 x 5/8 = 20,000

We got our points for the castle. Now we need to find how many points for the spells, which is the remaining. 32000-20,000=12,000

This means that 20,000 points are used on the castle and 12,000 on the spell.

Answer:20000 and 12000

Step-by-step explanation:

Answer:

50.27 mi

Step-by-step explanation:

lol

Answer:

csc²x

Step-by-step explanation:

cot^2(x)sec^2(x)

~Rewrite

1/cos²x * cos²x/sin²x

~Multiply

cos²x/cos²xsin²x

~Cancel out

1/sin²x

~Rewrite using trig identity

csc²x

Best of Luck!

Answer:

C=304

Step-by-step explanation:

4cups everyday

elephants eat 74×

its 4×74=304

Answer:

4 x 76 = c; c = 304

Step-by-step explanation:

Hope this helps! :)

Let me know if I'm wrong.

Answer:

the answer is option c : 0 zero

Answer:

1.2

Step-by-step explanation:

Answer:

[tex] {x}^{2} = {9}^{2} + {40}^{2} \\ {x}^{2} = 81 + 1600 \\ {x}^{2} = 1681 \\ x = \sqrt{1681} \\ x = 41[/tex]

plzz ,thnx my answer...

Answer:

No.  5x and 5x² are not like terms.

When a variable is raised to two different powers, they can not be added together.

Another way to look at it is to note that:

5x + 5x² ≡ 5x(1 + x)

It is more obvious there that 1 and x are not like terms, thus neither are 5x and 5x², though they do have common factors.

Answer:

-17=x-15 +15

-2=x

Step-by-step explanation:

prove me wrong

-17 = x - 15

Move -15 over to -17, it becomes a positive.

15 - 17 = x

15 - 17 = -2

x = -2

Answer:

6 Hours

Step-by-step explanation:

Q. A car wash can wash four cars in one hour. The table shows the total number of cars washed. How long will it take to wash 24 cars?

A. 4 Cars = 1 Hour

   8 Cars = 2 Hours

   12 Cars = 3 Hours

   16 Cars = 4 Hours

   20 Cars = 5 Hours

   24 Cars = 6 Hours

Hope this helps

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex](40)^2=(8)^2+(h)^2[/tex]

[tex]1600=64+h^2[/tex]

[tex]1600-64=h^2[/tex]

[tex]1536=h^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{1536}=h[/tex]

[tex]\pm 39.1918358=h[/tex]

Height cannot be negative. Round to the nearest foot.

[tex]h\approx 39[/tex]

Therefore, the height of the ladder on the wall is 39 foot.

Answer:

Step-by-step explanation:

if we are supposed to solve [tex]x^{2}[/tex] + 2x + 9 = 0   there here is the solution

using the quadratic formula

= (-2 ± [tex]\sqrt{2^{2}-4*9 }[/tex] )/2

= (-2 ± [tex]\sqrt{-32}[/tex]) / 2

= (-2 ± i [tex]\sqrt{16*2}[/tex])/2

= (-2 ± i 4[tex]\sqrt{2}[/tex])/2

= -1 ± i 2[tex]\sqrt{2}[/tex]

complex number land   :)

Answer:

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: [tex]\mathbf{y=-6x+8}[/tex]

Step-by-step explanation:

We need to  write an equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4)

The equation in slope-intercept form is : [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept for our equation.

In the question, we are given slope m = -6

Now, we need to find y-intercept.

Using slope m = -6 and the point (2,-4) we can find y-intercept

[tex]y=mx+b\\-4=-6(2)+b\\-4=-12+b\\b=12-4\\b=8[/tex]

So, we get y-intercept : b = 8

Now, the equation of line having slope m = -6 and y-intercept : b = 8 in slope-intercept form will be:

[tex]y=mx+b\\y=-6x+8[/tex]

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: [tex]\mathbf{y=-6x+8}[/tex]

Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like