You deposit $30,000 into a savings account with an interest rate of 2.5% compounding quarterly for 10 years.
Part A- how much interest do you earn in 10 years?
Part B- how much money will be your account at the end of 10 years.

Answer:

The area of this shape is [tex]50cm^2[/tex].

Step-by-step explanation:

To find the area of this figure, you only need to know the area of the rectangle and the area of the triangle. The area of the rectangle would be 5 * 6 = [tex]30cm^2[/tex]. Since the length of the rectangle plus the base of the triangle is equivalent to 14, that means the base of the triangle is equal to 14 - 6 = 8 cm. The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], the base you now know is 8 cm, and the height is 5 cm, which means the area of the triangle would be [tex]\frac{1}{2} *5*8[/tex] = [tex]\frac{1}{2} * 40[/tex] = [tex]20cm^2[/tex]. Add the area of the rectangle to the area of the triangle and you'll get the area of the entire shape, which is 30 + 20 = [tex]50cm^2[/tex].

Answer:

See below

Step-by-step explanation:

This is a piecewise function with a domain of (-4,5) and a range of [1,6]. (-4,5) means x can be between -4 and 5, but -4 and 5 can't be included (notated by the parentheses). [1,6] means y can be between 1 and 6 where 1 and 6 are both included in the range (notated by the brackets).

Answer:

(4, 3 ) and (1.5, 8 )

Step-by-step explanation:

Given the 2 equations

2x + y = 11 → (1)

xy = 12 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.

y = 11 - 2x → (3)

Substitute y = 11 - 2x into (2

x(11 - 2x) = 12 , that is

11x - 2x² = 12 ( subtract 12 from both sides )

11x - 2x² - 12 = 0

2x² - 11x + 12 = 0 ← in standard form

(x - 4)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5

Substitute these values into (3) for corresponding values of y

x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )

x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )

Answer:

your answer will be A.π(12.1)²

Step-by-step explanation:

hope it helps...

have a great day

Answer:

option A

is the correct answer of this question π(12.1)^2

hope it helps and your day will be full of happiness.

^_^

Answer:

i hope you understand this answer

[tex]3x : 8 = 9 : 2[/tex]

[tex] \frac{3x}{8} = \frac{9}{2} [/tex]

[tex]3x × 2 = 8 × 9[/tex]

[tex]3x = \frac{8 \times 9}{2} [/tex]

[tex]3x = 4 \times 9[/tex]

[tex]x = \frac{4 \times 9}{3} [/tex]

[tex]x = 4 \times 3[/tex]

[tex]x = 12[/tex]

Answer:

Point G and Point B

Step-by-step explanation:

The quadrant on the top right is quadrant 1 and the quadrant on the top left is quadrant 2. The quadrant on the bottom right is quadrant 4 and the quadrant on the bottom left is quadrant 3.

Answer:

17.8

Step-by-step explanation:

Using the SOH CAH TOA identity

Opposite = 16

Hypotenuse = QR = x

Angle of elevation = 64 degrees

Sin64 = opp/hyp

Sin 64 = 16/x

x = 16/sin64

x = 16/0.8898

x = 17.8

Hence QR is 17.8 to the  nearest tenth of a foot

Answer:

I'm going to say true because that's the most logical answer

Step-by-step explanation:

Answer:

they are not equivalent

Step-by-step explanation:

12/27 reduces to 4/9 if you divide by 3

20/36 reduces to 5/9 if you divide by 4

4/9 ≠ 5/9

Step-by-step explanation:

Get your answer by reducing them:

12/27=4/9 ( in the table of 3)

20/36=5/9 ( in the table of 4)

hope it helps

Answer:

Volume = 120 cubic cm

Step-by-step explanation:

We would apply the formula for determining the volume of a square bases pyramid which is expressed as

Volume = 1/3 x base area x height

From the diagram,

length of square base = 6 cm

The base area = 6^2 = 36

height = 10

Thus,

Volume = 1/3 x 3/6 x 10

Volume = 120 cubic cm

I hope this help you! :)

Answer:

The volume of the space for each drawer is 6 feet^3.

Step-by-step explanation:

Solve for the volume of the entire dresser.

Formula for volume of a rectangle:

Volume (v) = Length (l) × width (w) × height (h)

v = 2 × 6 × 3

v = 12 × 3

v = 36

Now divide the volume by the number of drawers.

36 ÷ 6 = 6

Answer:

The value of x is 6

Step-by-step explanation:

- 3x + 12 = 2x - 18

12 + 18 = 2x + 3x

30 = 5x

5x = 30

x = 30 ÷ 5

x = 6

Thus, The value of x is 6

-TheUnknownScientist

Answer:34 13

Step-by-step explanation:

ffrff

Answer:

The same amount

Step-by-step explanation:

Because its Borrowed money you cant just go around spending unlimited money with out paying the bank back it would not be fair.

Answer:

Answer in explanation section

Step-by-step explanation:

8(2x-14)+13=4x-27.       Given

16x-112+13=4x-27.          Distributive property

16x-99=4x-27.                 Simplify

14x-99=-27.                      subtract

14x=72.                             Subtract

x=36/7.                              Divide to get x

Answer:

18.9

Step-by-step explanation:

perimeter of a trapezoid is base + base + side + side (p = a + b + c + d)

adding up each of the sides gives you 18.9

Answer:

Canada

Step-by-step explanation:

Multiply $1.50 by the amount of liters in a gallon 3.78541 and it is less than 6.20

Answer:

peter pays more money

Step-by-step explanatipeter is more

because 4 liters is a bit over a gallon and each liter is 1.50 so 1.50 x 4 is 6 dollars so peter pays more money

Answer:

A) 744 inches

Step-by-step explanation:

24 x 31 = 744

Answer:

the answer will be 30...................

Answer:

$90.95

Hope this helps you! Also, here is a story to go along with my answer!

Once Upon A time there was a noble Knight, he wasn’t like any other Knight, he had powers, something much more than a sword and shield. He was part of a fairytail, which in this world is a association of wizards, or people who can use magic. As the noble night was walking around town, he noticed a figure far in the distance, of course he was a young, curious knight, so he decided to go explore the figure in the distance. As he walked upon the figure that wasn’t so far anymore he relized somethin, something so astonishing that he thought would never Be real, a castle full of treasures full of coins and gems. As he walked in to the castle, he wasnt aware f what would happen if he where to take the treasure, he made the best choice, not to satisfy his greed, and left the castle as it was when he found it before, promising himself not to tell anyone about what he witnessed that day.

Yours Truly, TheAnimeCatUwU

Answer:

C

Step-by-step explanation:

You need to times 35.5 by 10.75 which will get you 381.62 which rounds to 381.63

Answer:

18.7

Step-by-step explanation:

just add them

Answer:

The equation is:

f(x) = Ix + 3I - 2

Step-by-step explanation:

For a function like:

f(x) = Ix - kI + c

k is the x-value where the vertex is, and c is the y-value where the vertex is.

In the graph we can see that the vertex is in the point (-3, -2)

then:

x-value = -3 = k

y-value = -2 = c

Replacing those in the equation for the function:

f(x) = Ix - (-3)I - 2

f(x) = Ix + 3I - 2

Answer:

4) 10

5) 15

6) 20

7) 4

8) 27

equations used to solve:

4) 4x+50=90

5) (2x+60)+6x=180

6) 3x+30=90

7) (8x+120)+7x=180

8) 99+3x=180

Answer:

i think its f(x)=-2(x-2)(by the power of 2)-2

Step-by-step explanation:

Answer:

452.16 in^2

Step-by-step explanation:

multiply 12 times 12

then multiply that number by Pi(3.14)