Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?

Answer:

The slope is 3/2

Step-by-step explanation:

(x1,y1)=(12,16)

(x2,y2)=(34,49)

m= y2−y1 /x2−x1

49−16 /34−12

33 /22

3 /2

Answer:

-3/2

Step-by-step explanation:

y1-y2 / x1-x2

16- 49/12-34

33/22 or -3/2

I hope this helped, Have a Wonderful Day!!

Answer:

-2y-2x=-6

Step-by-step explanation:

-5y = 3y = -2y

6x - 8x = -2y

40 - 46 = -6

Answer:

Answer:

X=5

Y=-2

Step-by-step explanation:

trust the process

Answer:

1) The slope of the line segment AB is [tex]\frac{4}{3}[/tex].

2) The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].

4) The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].

Step-by-step explanation:

1) Let [tex]A(x,y) = (2,3)[/tex] and [tex]B(x,y) = (8,11)[/tex]. From Analytical Geometry, we get that slope of AB ([tex]m_{AB}[/tex]), dimensionless, is determined by the following formula:

[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (1)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the slope of the line segment is:

[tex]m_{AB} = \frac{11-3}{8-2}[/tex]

[tex]m_{AB} = \frac{4}{3}[/tex]

The slope of the line segment AB is [tex]\frac{4}{3}[/tex].

2) The length of the line segment AB ([tex]l_{AB}[/tex]), dimensionless, can be calculated by the Pythagorean Theorem:

[tex]l_{AB} =\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex] (2)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the length of the line segment AB is:

[tex]l_{AB} = \sqrt{(8-2)^{2}+(11-3)^{2}}[/tex]

[tex]l_{AB} = 10[/tex]

The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB are, respectively:

[tex]x_{M} = \frac{x_{A}+x_{B}}{2}[/tex] (3)

[tex]y_{M} = \frac{y_{A}+y_{B}}{2}[/tex] (4)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the coordinates of the midpoint of the line segment AB are, respectively:

[tex]x_{M} = \frac{2+8}{2}[/tex]

[tex]x_{M} = 5[/tex]

[tex]y_{M} = \frac{3+11}{2}[/tex]

[tex]y_{M} = 7[/tex]

The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].

4) From Analytical Geometry we can determine the slope of a line perpendicular to line segment AB as a function of the slope of the line segment:

[tex]m_{\perp} = -\frac{1}{m_{AB}}[/tex] (5)

If we know that [tex]m_{AB} = \frac{4}{3}[/tex], then the slope of a line perpendicular to AB is:

[tex]m_{\perp} = - \frac{1}{\frac{4}{3} }[/tex]

[tex]m_{\perp} = -\frac{3}{4}[/tex]

The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].

Answer:

Bro just look up trig triangle calculator

Step-by-step explanation

Answer:

27.5

Step-by-step explanation:

sin(33) = 15/x

x=15/sin(33)

Answer:

Option 3

Step-by-step explanation:

10x11=110 +3=113

113/11

Answer:

30/11

Step-by-step explanation:

this answer is 30/11

Answer:

0.333333

Step-by-step explanation:

Hope this helps and have a great day!

Answer:

  17 years

Step-by-step explanation:

The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

Solving for t, we find ...

  A/P = (1 +r/n)^(nt) . . . . . . divide by P

  log(A/P) = nt·log(1 +r/n) . . . . take logarithms

  t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t

For the given values, the time required is ...

  t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353

It would take about 17 years for the account value to reach $1740.

_____

Additional comment

The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.

Answer:

2t+b=8.00

e+t+b=8.50

2e+2t=10.00

Step-by-step explanation:

Answer:

Mickey mouse was created by Walt Disney.

Step-by-step explanation:

Active voice = Walt Disney creates Mickey Mouse.  (subject, verb, object)

passive voice = Mickey mouse was created by Walt Disney. (object, verb, subject).

Answer:

the answer is b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

according to the midsegment theorem, a midsegment of a triangle is parallel to a side of a triangle and its length is 1/2 length of the side.

1/2FG= 15, SO FG=30,

1/2 GH=36 SO GH=72

AREA = 1/2(72*30)=1080 CM^2

Answer:

1/2(72*30)=1080 CM^2

Step-by-step explanation:

don't rember how i got it, just remeber having this question on my work.

The answer is A because it makes both triangles congruent

Answer:

156.63 ft squared

Step-by-step explanation:

The bedroom is a rectangle.

Area of a rectangle- A=length times width

multiply the two numbers and you will get 156.63.

Be sure to add the units (feet).

Answer:

Y = 3x - 6

Step-by-step explanation:

- 3y = -9x + 18

divide by -3

y = 3x - 6

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22  including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18%  to get ;

82/100 * 91.22 = $ 74.80

4

Step-by-step explanation:

so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.

Answer:

Step-by-step explanation:

How many miles from El Paso to Corpus Christi?

The total driving distance from El Paso, TX to Corpus Christi, TX is 699 miles or 1 125 kilometers.

Answer:

1 inch

Step-by-step explanation:

1/2 inch = 0.5 inch

0.5/300 = n/600

0.5 * 600 = n * 300

300 = 300n

1 = n or n = 1

Answer:

18

Step-by-step explanation:

Please give brainliest!

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

So if a baseball weighs 25.75 ounces less than the bat and it says what is the relationship between the ball and the bat so if the baseball weighs less than the bat then that would be 25.75<B=W I believe

Answer:

1.95

Step-by-step explanation:

4 or d object is moving away at an increasing speed

Answer:

(-1, -2)

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

Substitute values of y and d into equation.

12y+9d = 12(5) + 9(7)

Evaluate.

12(5) + 9(7) = 60 + 63

Simplify.

60 + 63 = 123

Answer:

123

Step-by-step explanation:

12y + 9d

12(5) + 9(7)

60 + 63

123

Answer:

-350

Step-by-step explanation:

5×2-3×-10/2×-10

=10-3×-50

=7×-50

=-350

Answer:

Step-by-step explanation:

The question is in this image.