Whitney deposits $9,000 for two years. She compares two different banks. State Banks will pay her 4.1% interest, compounded monthly. Kings Savings will pay her 4.01% interest, compounded continuously.

Using the concept of combination, the value of the expression 9C4 is 126

Recall the combination formula :

[tex]9C4 = \frac{9!} {(9-4)!4!} [/tex]

[tex]9C4 = \frac{9 \times 8 \times 7 \times 6} {4 \times 3 \times 2 \times 1} [/tex]

[tex]9C4 = \frac{3024} {24} = 126 [/tex]

Therefore, the value of the expression 9C4 is 126.

Learn more : https://brainly.com/question/18405415

Answer:

[tex] \frac{4x + 3}{x + 5} [/tex]

Step-by-step explanation:

add x and 3x

Answer:

Step-by-step explanation:

I need the expressions, please.

Answer:

y = - 2 - x

Step-by-step explanation:

Since x + y = - 2, In the other side, it would be...

y = - 2 - x

Hope this helps :)

Please mark me as Brainliest!! I gave you the right answer.

Answer:

=1232cm^3

Step-by-step explanation:

Volume of a cylinder=πr^2h

Where r=radius=diameter/2=14/2=7 cm

h=height=8 cm given

π=22/7

Volume of cylinder=πr^2h

=22/7x7x7x8=154x8=1232cm^3

Answer:

1231.5

Step-by-step explanation: the other answer is wrong this is right

Answer:

1, 148, 149.

your welcome

Answer:

E,B,F≥150

Step-by-step explanation:

150≥150

152≥150

151≥150

Answer:

25 cups of apple juice and 10 sparkling water 

Step-by-step explanation:

There are 7 cups of sparkling juice in each batch, since 5 + 2 = 7. То make 35 cups Elena will need 5 batches since 5 x 7 = 25. 5 batches mean 25 cups of apple juice and 10 cups of sparkling water

(brainliest?)

Given:

An elephant drinks 49 gallons of water per day.

A rhinoceros drinks 21 gallons of water per day.

To find:

The total amount of water the animals will drink in 8 days.

Solution:

In each day,

Elephant drinks = 49 gallons

Rhinoceros drinks = 21 gallons

Total amount of water they will drink each day is

[tex]49+21=70[/tex]

They will drink 70 gallons in each days.

So, total amount of water the animals will drink in 8 days is

[tex]8\times 70=560[/tex]

Therefore, they will drink 560 gallons of water in 8 days.

In sixty days, assuming that Kevin shoots exactly fifty baskets everyday, he'd have shot 3,000 baskets. (multiply 60 x 50 = 3,000)

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Answer:

B=30,000

Y=The Plane's altitude

M= -2,000

X= Minutes

Equation: y=-2,000x+30,000

Slope= ?

Y-intercept= the point where you start at

what is the altitude after 10 minutes?=10,000

How Long does it take to get to 0 altitudes?=15 (Minutes)

Step-by-step explanation:

What are the choices for slope

Answer:

84 arrangements

Step-by-step explanation:

First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.

342 + 330 = 672 total roses

Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.

672 / 8 = 84 arrangements

Given:

Lee drew five rectangles as shown on this coordinate grid .

To find:

The correct statement.

Solution:

From the given diagram, it is clear that,

Dimensions of rectangle x are 6 by 3 units.

Dimensions of rectangle A are 7 by 3 units.

Dimensions of rectangle B are 6 by 3 units.

Dimensions of rectangle C are 3 by 6 units.

Dimensions of rectangle D are 6 by 4 units.

Dimensions of rectangle x and B are same and clearly it can be translation or rotation about the origin.

Dimensions of rectangle x and C are same but only rotation is not sufficient to get rectangle C from rectangle x.

Dimension of rectangle x, A and D are different, so they are not congruent and we cannot get rectangle A and D by rotation, reflection and translation.

Therefore, the correct option is B.

Answer:

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

Step-by-step explanation:

Answer:

its a or y = -3/4x -3

Step-by-step explanation:

slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. the line intercepts at the y at point -3 so the y-intercept is -3 the slope is -3/4 and you just plug them into the slope intercept form

Answer:

a) $6x+$4y=36

b) 6 fries

Step-by-step explanation:

b)$6(2)=12

36-12=24

24/4=6 fries

Answer:

35 students

Step-by-step explanation:

Find 25% of 500:

Find 18% of 500:

Find the difference:

So, 35 more students prefer video games to bike riding.

I hope this helps!

Answer:

22 including one at the end of the beach

Step-by-step explanation:

Total length of the beach = 13.2 kilometers

If lifeguards are stationed every 0.6 kilometers, INCLUDING one at the end of the beach

Number of lifeguards in the beach = Total length of the beach / distance interval of each lifeguards

= 13.2 kilometers / 0.6 kilometers

= 22

Number of lifeguards in the beach = 22 including one at the end of the beach

Answer:

d

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Hope this helps! Consider brainiest!

Answer:

The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:  

[tex]\frac{8}{9}[/tex]÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to [tex]\frac{6}{1}[/tex], by inverting the number, then you get [tex]\frac{1}{6}[/tex]

Then:

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}[/tex]

Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}[/tex]

Finally, simplifying the fraction:

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}[/tex]

So:

[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{4}{27}[/tex]

The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]

Answer:

Is this from delta math lol

Step-by-step explanation:

2c+2d

2(-8)+2(-p2=8r+7)

Now try

I hope this helps

im sorry if it doesn't

Answer:

Slope is 1/2

Step-by-step explanation:

Slope Formula = m = y2 - y1/x2 - x1

Point = (4,2) and (10,5)

m = y2 - y1/x2 - x1

m = 5 - 2/10 - 4

m = 3/6

m = 1/2

Answer:

3/2

Step-by-step explanation:

Answer:

Slope = -3

Step-by-step explanation:

The slope is the change in y over the change in x

The slope formula is m=y₂-y₁/x₂-x₁ (y over x)

So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)

So, you would get m=-2-4/1-(-1)

Simplify (first subtract the top, then subtract the bottom)

This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)

-6/2 would get you to -3

Answer:

The slope is 1/2

Step-by-step explanation:

y²-y¹/x²-x¹

=5-3/5-1

=2/4

=1/2

Step-by-step explanation:

The best way to solve these is by making them into a equation, rise over run, or y over x.

[tex] \frac{3}{1} - \frac{5}{5} [/tex]

You will get the same answer nomatter which order these are values are in. Now, solve for this equation.

[tex] \frac{ - 2}{ - 4} [/tex]

Now this is negative and kind of messy, although, we can turn both values into positive values without the answer changing, just be careful on other problems with this technique as it doesn't always work.

[tex] \frac{2}{4} [/tex]

Now we can simplify again.

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

The slope is 1/2!

Answer:

D.

Step-by-step explanation:

Answer:

The books can be arranged in 170,544 ways

Step-by-step explanation:

This is a combination question since we are arranging

We simply want to find the number of ways to select 15 books out of 22 for arrangement

Mathematically, that will be;

22 C 15 = 22!/(22-15)!15! = 170,544 ways

Answer:

y = -52x + 480

Step-by-step explanation:

Let us assume the number of pages left be x

And, the number of hours is x

According to the question

Data given is as follows

Number of hours 1.5 and 5

Total pages 480

Left pages 402

Based on the above information,

The computation is shown below;

Pages read by Shriya in 1.5 hours is

= Total pages in the book - left pages to read

= 480 pages - 402 pages

= 78 pages

And, there is 1.5 hours

So in one hour she read

= 78 pages ÷ 1.5 hours

= 52 pages per hour

So, the equation is

y = -52x + 480

Answer:

Step-by-step explanation:

-16 + 12s - 22t + 6u