Suppose you loan $320 to a friend and charge them 11% annual interest. If they don't pay any back, how many years will it take for them to owe you $2,000? Round your answer to the nearest hundredth (2 places after the decimal).​

Answer:

5

Step-by-step explanation:

The distance between M and M' is 5 units in the cartesian plane.

The length along a line or line segment between two points on the line or line segment.

The midpoint M of A(a,b) and B(c,d) is given by:

M(a+c/2, b+d/2)

After the two points are moved, the new coordinates are A'(a+2,b+8) and B'(c-10,d-2).

The new midpoint M' of A'(a+2,b+8) and B'(c-10,d-2) is given by:

M'(a+2+c-10/2 , b+8+d-2/2)

M'(a+c-8/2 , b+d+6/2)

To find the distance between M and M', we can use the distance formula:

d(M,M')=√((a+c)/2 - (a+c-8)/2)²+((b+d)/2-(b+d+6)/2)²

=√4²+(-3)²

=√16+9

=5 units

Hence, the distance between M and M' is 5 units.

To learn more on Distance click:

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Answer:

(6, 7) is where B is.

Step-by-step explanation:

If you go down 1/2 and right 5, you get to M. If you go another 1/2 down and right 5, you will get to B.

This is because M is the midpoint, or center point, of line AB. That means there is equal distance going from A to M and equal distance going from B to M.

#teamtrees #WAP (Water And Plant)

Answer: Positive 7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

because the opposite of a negative is a positive.

Answer:

$11.25

Step-by-step explanation:

Answer:

rise over run

Step-by-step explanation:

you count the y axis from one point on a line to another then you count the x axis from the same two points and turn this into a fraction of y over x

y/x this is the slope

Answer:

for more math help use the app called connects

Answer:

Step-by-step explanation:

[tex]f(x) = x^2 + x - 1\\g(x) = x +3\\\\\\(f\:o\:g)(x) = f(g(x))[/tex]

we input the function g(x) into every x in f(x)

[tex]f(g(x)) = (x+3)^2 + (x + 3) - 1\\f(g(x)) = x^2 + 6x + 9 + x + 3 - 1\\f(g(x)) = x^2 + 7x + 11[/tex]

Option A is the correct answer or Y-4=1/3(x-4):)

Answer:

0.03172

Step-by-step explanation:

Leading zeros (Zero before non-zero numbers) are not significant

0.02435 have 4 sigfig, round off to 0.0244, 3 sigfig

0.00732+0.0244 =0.03172

Answer:

4(x + 12) = 4x + 48

Step-by-step explanation:

Answer:

2(2x + 6)

Step-by-step explanation:

Answer: y=6x + 27

Step-by-step explanation:

Answer:

not sure yet. hold on. a second

Answer:

well the sequence is the perfect squares

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The sequence of square numbers is

n    |    1      2      3     4     5     6

n² |    1      4       9   16    25    36

Given

4  , 9,  16,  25,  36 ← moved 1 place to the right

Thus

4 = (1 + 1)²  , 9 = (2 + 1)² ,  16 = (3 + 1)² , etc

In general the n th term is

[tex]a_{n}[/tex] = (n + 1)²

Answer:

How  do I have the same problem as a high schooler when im in 6th grade

Step-by-step ex

jsn=55

Answer:

wheres the picture dude

Step-by-step explanation:

Answer:

3^2+2^2-5×2-6

9+4-10-6

-3

Step-by-step explanation:

-3 is the answer

Answer:

It could be solved by filling in "x" as 2.

Step-by-step explanation:

F(x) = 2^3 + x^2 - 5(2) - 6

f(x) = 8 + 4 -10 - 6

f(x) = 12 -16

= -4

Hope this is easy enough to understand.

Answer:

8. 95°

9. 85°

10. 49°

11. 53°

Step-by-step explanation:

8) m + 28° + 57° = 180°

m = 180°–28°–57°

m = 95°

9) m∆4 + m∆5 = 180°

95° + m∆5=180°

m∆5 = 180°–95°

m∆5 = 85°

10) 180°–36°–95°=49°

11) 180°–42°–85°=53°

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

11%

Step-by-step explanation:

$9559-$8500=1059

1059/9559= .110786

.110786 x 100= 11.0786%

11.0786%= 11%

Answer:

$188

Step-by-step explanation:

first you would do 87 + 7 which is 94

then multiply it by 2 which is 188

hope this helps :)

Answer:

The original price of the jacket was $188

Step-by-step explanation:

1/2x - 7 = 87

      +7     +7

1/2x = 94

x2       x2

x = 188

Answer: The measurement of angle B is 34. The measurement of angle C is 108. The measurement of angle F is 72.

Step-by-step explanation:

Answer:

man can u send the pic of the diagram I will solve it

Answer:

16.225

just times 2.5 times 6.49

Answer:

it would be 5pi/6 radians

Step-by-step explanation:

Answer:

[tex]\frac{5\pi }{6\\}[/tex]

Step-by-step explanation:

to convert degrees to radians, use the equation [tex]\frac{\pi }{180\\}[/tex]. then simplify

150*[tex]\frac{\pi }{180\\}[/tex]=[tex]\frac{150\pi }{180\\\\}[/tex]=[tex]\frac{5\pi }{6\\}[/tex]

Answer:

Area = 230 cm

Step-by-step explanation:

We can split this shape into different parts: a rectangle and a triangle (I attached an image below as a visual aid).

The area of a rectangle is given as:

[tex]Area = width * length[/tex]

and the area of a triangle is given as:

[tex]Area = \frac{1}{2} *base * height[/tex]

Let's first solve for the area of the rectangle. The width of the rectangle is 20cm, and the height of the rectangle is 7cm. So, the area is 7 × 20 = 140cm.

Now, let's solve for the area of the triangle. The base of the triangle is 20 cm, and the height of the rectangle is 16 - 7 = 9cm. So, the area is [tex]\frac{1}{2} * 20 * 9[/tex] = 90cm.

We add the two values together to get the combined area of the shape. 140 + 90 = 230 cm.

Answer:

Step-by-step explanation:

Grove City = 45,032

Franklin = 41,064

Franklin < Grove City

5 thousands > 1 thousand

Answer:

Step-by-step explanation:

-5x+2-4  if x =6

-5(6)+2-4

-30+2-4

-30-2

-32

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

Answer:

✔(3, 2)

Step-by-step explanation:

E-2021

Answer:

Step-by-step explanation:

The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.

The missing side is the hypotenuse

x + 2x + sqrt(x^2 + (2x)^2 ) = 28

3x + sqrt(x^2 + (2x)^2 ) = 28

sqrt(x^2 + (2x)^2 ) = 28 - 3x                 Square both sides

x^2 + 4x^2 = 784 - 168x + 9x^2

5x^2 = 784 - 168x + 9x^2

0 = 784 - 168x + 4x^2                         Use the quadratic formula to solve this. It does not factor.

x = 5.34

2x = 10.68

hypotenuse = sqrt (5*5.35^2)

hypotenuse = 5.35*sqrt(5)

hypotenuse = 11.96

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

Shortest leg = 5.35

Other leg = 10.7

Hypotenuse = 11.96

Total = 28.01

So the answer is mathematically correct for the hypotenuse being the unknown.

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If the leg is unknown, then I'll set up the equation and you can solve it.

x + sqrt(4x^2 - x^2) + 2x = 28             subtract x from both sides

sqrt(4x^2 - x^2) + 3x = 28                   Square both sides

sqrt(3x^2) = 28 - 3x                    

3x^2 = 784 - 168 + 9x^2

6x^2 - 168x + 784 = 0

x = 5.91

You can carry on from here.

Answer:

Step-by-step explanation:

Let's call the sides a,b,c

P=28 so

a+b+c=28

twice as long means a = 2b  substitute in equation above

2b+b+c=28

3b+c=28

but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse

Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c

a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²

4b² = b²+c² or c² = b²+ 4b²

3b² = c² or c² = 5b²

yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784

9b²-168b+784=3b² or 9b²-168b+784=5b²

6b²-168b+784=0 or 4b²-168b+784=0

and probably solve using quadratic equations

Given:

Predicted value of rain = 28 mm

Actual amount of rain = 35 mm

To find:

The percent error.

Solution:

We know that,

[tex]\text{Percent error}=\dfrac{\text{Predicted value - Actual value}}{\text{Actual value}}\times 100[/tex]

On substituting the values, we get

[tex]\text{Percent error}=\dfrac{28-35}{35}\times 100[/tex]

[tex]\text{Percent error}=\dfrac{-7}{35}\times 100[/tex]

[tex]\text{Percent error}=\dfrac{-1}{5}\times 100[/tex]

[tex]\text{Percent error}=-20\%[/tex]

Therefore, the percent error is -20%.