Gretchen invested $1000 in a certificate of deposit that paid interest at a rate of 9% per year. How much was the CD worth at the end of the 3 years?

Answer:

22155.84 in

Step-by-step explanation:

r = 84 in

π = 3.14

then area if circle = r² × π

… A = 84² × π = 22155.84 = ( 22.15584 min )

Answer:

9

Step-by-step explanation:

Because all other answers round down

Answer:

The missing digit is 9

Step-by-step explanation:

For this question, we would look at rounding rules. Given that the first 3 numbers after the decimal are 383, if we want the secon 3 to round up to a 4, then the 4th number after the decimal would have to be greater than or equal to 5. The only option that matches this is 9. Hope this helps!

Answer:

the answer is A

Step-by-step explanation:

Answer:

$7.5

Step-by-step explanation:

1 quart = 4 cups

So:

12 cups = 12/4 = 3 quarts

Each quart is 2.5 dollars

3 * 2.5 = $7.5

Answer:

1 = 117 ( vertically opposite angles are equal )

2 = 117 ( corresponding angles are always equal )

Step-by-step explanation:

Answer:

angle one=122 because it is using the alternate interior angle theorem

angle 2=58 because it is using the consecutive interior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58

since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle

Answer:

hope this will help you

good luck

Answer:

B

Step-by-step explanation:

By adding one to the equation, you are shifting it up one along the y-axis, as the picture depicts.

I hope this helped!

Step-by-step explanation:

3/4 + 1/2= 3+2/4= 5/4

Hope it helps you

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

[tex]=\frac{3}{2} +\frac{1}{2}[/tex]

[tex]=\frac{3}{4} +\frac{2}{4}[/tex]

[tex]=\frac{3+2}{4}[/tex]

[tex]=\frac{5}{4}[/tex]

Answer:

0 or 2

Step-by-step explanation:

The number of distinct imaginary roots possible are 2.

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

If f(x) is a third degree polynomial then by corollary to the fundamental theorem of algebra , it must have 3 roots.

It as complex roots occurs in pairs, thus there must be even number of complex roots.

So, there is 2 complex distinct complex roots are possible in third degree polynomial.

Corollary to the fundamental theorem states that every polynomial of  degree n>0 has exactly n zeroes.

Therefore, the number of distinct imaginary roots possible are 2.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

#SPJ7

Answer:

the answer is 5/33

Step-by-step explanation:

Total marbles = 5 blue + 4 red + 3 yellow = 12

Two marbles are selected, first is blue which gives us :

5/12 --eq 1

Then red marble is selected ( note: one marble is already drawn and not replaced so we have a total of 11 marbles )

The probability of red gave us :

4/11 --eq 2

Now we multiply eq 1 and 2

5/12 x 4/11 = 5/33

Answer:

14

Step-by-step explanation:

Answer:

The steps as for drawing a random sample as stated in Sampling Theory textbook by Shalabh, IIT Kanpur are;

1) Specify the population from which the sample is to be drawn by numbering each unit

2) From the random number table, arbitrarily select a number and read the selected number

3) From the population the unit that has the corresponding serial number with the selected random number

4) If a selected random number is repeated, ignore the number when performing Simple Random Sampling Without Replacement SRSWOR

5) Continue the process until the 20 units in the sample are selected

Step-by-step explanation:

Answer:

96×pi ft³

Step-by-step explanation:

by the way, it is totally easy to search for formulas on the internet.

the volume of a cone is

Vc = pi×r²×height/3

we have been given the slant height (10 ft) and the lateral "wall" area of the cone (60×pi ft²).

this wall area is

Aw = pi×r×slant height

60×pi = pi×r×10

60 = r×10

6 = r

so, now we know r fuer the volume formula, and we need the height of the cone (the inner one).

we use Pythagoras

10² = r² + height²

100 = 36 + height²

height² = 64

height = 8 ft

so, now we use the main formula for the volume

Vc = pi×r²×height/3 = pi×6²×8/3 = pi×36×8/3 = pi×12×8 =

= 96×pi ft³

cubic feet ! it is a volume !

Answer:

hope it helps .............

Answer:

9 :  7, or 9/16 to 7/16

Step-by-step explanation:

We know that there are 9 blue hats.

We know there are 7 red hats.

This is a 9 : 7 ratio.

In fraction form, we must find the total ratio, use that as the denominator, then take the seperate amounts, such as bluei adn red hats, and use that as the numerator:

9+7=denominator

denominator = 16

Blue hats = 9

Ratio of red = 9/16

Red hats = 7

Ratio of red = 7/16

Hope this helps!

Answer:

w = 0.215

Step-by-step explanation:

(8.25 + 1) / 4w = 10.75

9.25/4w = 10.75

9.25/4w(4w) = 10.75(4w)

9.25 = 43w

9.25/43 = w

w = 0.215

Step-by-step explanation:

I think that is the answer in the diagram

Answer:

10 quarters

40 dimes

Step-by-step explanation:

q + d = 40

25q + 10d = 625

25 > 10

q < d

25(10) = 250

10(40) = 400

$2.50 + $4.00 = $6.00

Answer:

15 quarters and 25 dimes

Step-by-step explanation:

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

Explanation:

HA = hypotenuse angle

The tickmarks tell us that the hypotenuse IJ is the same length as the hypotenuse LM. So that's the "hypotenuse" portion of "HA".

The "angle" portion refers to the acute angles HIJ and KLM being the same measure, as shown by the curved arc marking. We aren't referring to the right angles because the HA theorem can only be used for right triangles, so that means the right angle is already built into it (and we can ignore the right angles).

Notice how HA is a special case of AAS.

Answer:

(1, 2); (6, 7)

Step-by-step explanation:

Answer:

-7x^2 + 5x + 12 AC = -84 factors = 12, -7

-7x^2 - 7x + 12x + 12

-7x (x + 1) + 12 (x + 1)

(-7x + 12) (x + 1)

Answer: I believe it is the 2nd option.

Step-by-step explanation:

I hope I helped , Have a great day or night . Xoxoxo.

Answer:

2(2x + y + 3y)

=

4x + 8y

4x + 2y + 6y

Answer:

x = 22

Step-by-step explanation:

line AD is 180°

so 40° + (5x + 30°) = 180°

solve for x.

5x = 180-30-40

5x= 110

x = 110/5

x= 22

Answer: 22

180 - 40 = 140

5(22) = 110

110 + 30 = 140

Answer:

b or c

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

1). Equation of the line given in the question is,

[tex]y=\frac{1}{2}x+5[/tex]

Slope of the line = [tex]\frac{1}{2}[/tex]

Slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

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

But [tex]\frac{1}{2}\neq \frac{3}{4}[/tex]

Therefore, slopes of the line and the line given in the graph are not equal.

Option (1) is incorrect

2). Since, [tex]\frac{3}{4}> \frac{1}{2}[/tex]

Therefore, Option (2) is correct.

3). Since, graph has a greater slope, option (3) is incorrect.

Option (2) is the correct statement.

Answer:

3

Step-by-step explanation:

2x^9 = 1

3x^6 = 2

- x - 20 = 3

[tex]slope = \frac{1}{2} [/tex]

Hope it helps you...