Find the measure of angle ABD.

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

Answer:

5x+32y+76

Step-by-step explanation:

First, distribute.

4 x 2x = 8x

4 x 8y = 32y

4 x 9 = 36

Then, combine like terms.

8x - 3x = 5x

36 + 40 = 76

And that leaves 5x+32y+76

Answer:

Etymology

the study of the origin of words and the way in which their meanings have changed throughout history.

Step-by-step explanation:

Answer: 6/14

Step-by-step explanation: There are 6 rock songs and a total of 6+5+3= 14 songs. So, the probability is 6/14

Answer:

314ft^2

Step-by-step explanation:

The area of a circle is found using this equation:

A=3.14r^2

r = radius

so if we know the radius is 10ft, we can put that into the equation and it will read:

A=3.14(10)^2

^2 means squared, for clarification.

Using PEMDAS we know to do exponents first

A=3.14(100)

Now multiply

A=314

and don't forget to add your units and square!

A=314ft^2

Answer:

a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5

Step-by-step explanation:

3x + 5y = 4

5y = -3x + 4

y = -3/5x + 4/5

Answer:

choice #4, total=31.14 mm^2

Step-by-step explanation:

14x2=28 is area of rectangle

1^2xPi=area of small circle

3.14=area of small circle

total=31.14 mm^2

Answer:

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

674.6

Step-by-step explanation:

If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place

Answer:46.6%

Step-by-step explanation: multiply 42 by 100 than divide that by 90

Answer:

hello

Step-by-step explanation:

no sé soy nuevo jajajaja

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

Answer:

If x = 3 then y = -8

If x = -3 then y = 10

If x = 4 then y = -11

If x = -2 then y = 7

Answer:

4.75

Step-by-step explanation:

19/4 = 4.75

Answer:

One book would cost $13.

Step-by-step explanation:

To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.

I hope this helps you.

Answer:

A=78ft

Step-by-step explanation:

The area of a trapezoid is A=(a+b)/2 *h

a=long base

b=short base

h=height

For your trapezoid, it will look like this:

a=15ft

b=11ft

h=6ft

Let's add those into the equation:

A=(15+11)/2 *6

Okay, let's solve it! Using PEMDAS, we know parenthesis are first.

A=26/2 *6

Now we divide!

A=13*6

Multiply! And don't forget to add your unit.

A=78ft

Answer:

y=mx+b is slope intercept form

Step-by-step explanation:

letter B :)

Answer:

Answer:

3. Variável Aleatória (v.a.): Uma função X que associa a cada elemento do espaço ... Se o conjunto de valores é qualquer intervalo de ... P (X < 6) = P(X=5) + P(X=4) + P(X=3) + P(X=2).

Answer:

∠A = 88°

Step-by-step explanation:

= 180° - (50° + 38°)

= 180° - 88°

= 92°

∠A + 92° = 180°

∠A = 180° - 92°

∠A = 88°

Answer:

area of cross section of cylinder is  inch²

Step-by-step explanation:

Given : Cylinder is 7 inch tall and has a volume of inches³.

We have to find the area of cross section of cylinder.

Area of cross section of cylinder =

To find the cross section first find radius.

Given Volume of cylinder = inches³

Also , Volume of cylinder =

Thus,

Divide both side by 7, we get,

On simplifying , we get,

Since, radius has to be positive, thus neglecting negative term.

Thus, radius of cylinder = 3 inch

Thus, area of cross section of cylinder =

area of cross section of cylinder =

Thus, area of cross section of cylinder is  inch²

Step-by-step explanation:

Answer:The third one is!!

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4

Answer: A the first one

Answer:

£4414.20

Step-by-step explanation:

Find out how much is 1% of the money invested in his bank account.

100% = 2100

1% = 2100 ÷ 100 = 21

Find out 5.1% which is his interest that he receives every year.

5.1% = 21 x 5.1 = 107.1

Find out how much he receives including interest every year.

2100 + 107.1 = 2207.1

Find out how much he will have after 2 years.

2207.1 x 2 = 4414.2

You do not need to estimate as there isn't an estimated for nearest penny as it has been estimated for you.

Answer:

The new expression is:  12 x^2 - 12 x+ 30

Step-by-step explanation:

if C = x^2 + 7

and

D = 3 x^2 - 4 x + 3

Then, 3 C + 3 D can be obtained via:

3 ( x^2 + 7 ) + 3 ( 3 x^2 - 4 x + 3 )  = 3 x^2 + 21 + 9 x^2 - 12 x + 9 =

= 12 x^2 - 12 x+ 30

Answer:

290d + 245

Step-by-step explanation:

Hello! So what you do first is make two equations, then combine them.

For the food booths, the equation would be 15(4d) + 150

For the game booths, the equation would be 23(10d) + 95

Now simplify them.

Food booths: 60d + 150

Game booths: 230d + 95

Next, we combine the two equations to get one equation.

60d + 150 + 230d +95

Simplify even more...

290d + 245

This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!

Answer:

[tex] \frac{\pi^{c} }{3} [/tex]

Step-by-step explanation:

Measure of the length of an arc of a circle is given as:

[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]