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3 years ago

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A bank account has $900 in it. Every week, Bob withdraws $45 to pay for his car's gas. What is the maximum number of weeks that

Bob can withdraw the money so there is at least $120 remaining in the account? Write an inequality to find the solution

1 answer:

soldi70 [24.7K]3 years ago

6 0

Answer:

hdeh

Step-by-step explanation:

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Find the surface are of the cylinder in terms of pi

Andrej [43]

Hello!

To find the surface area of a cylinder you use the equation

$SA = 2 \pi rh + 2 \pi r^{2}$

SA is surface area
r is radius
h is height

PUt in the values you know

$SA = 2 \pi (7)(18) + 2 \pi * 7^{2}$

Square the number

$SA = 2 \pi (7)(18) + 2 \pi * 49$

Multiply 7 and 18

$SA = 2 \pi * 126 + 2 \pi * 49$

Multiply 126 by 2

$SA = 252 \pi + 2 \pi * 49$

Multiply the 49 by 2

$SA = 252 \pi + 98 \pi$

Add

$SA = 350 \pi$

The answer is $A)350 \pi cm^{2}$

Hope this helps!

7 0

3 years ago

You are Christmas shopping and your bill at the register is $130. You have two coupons, but you are only allowed to use one. Cou

Marta_Voda [28]

Answer:

the answer is 10 percent off because that is 13 dollars

Step-by-step explanation:

if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off

4 0

3 years ago

What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5

AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

$(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}$

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

$(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\
(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\
(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$

Thus, Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0

3 years ago

Evaluate: 54-75+81-(-27)+53

romanna [79]

Hi the answer is 344

4 0

3 years ago

Read 2 more answers

A local pizza shop has a membership program for frequent buyers. The membership costs $10 per month and members get a discounted

dmitriy555 [2]

Answer:

Monthly cost = $10 + $1.75x

Step-by-step explanation:

Given the following :

Membership cost = $10 per month

Discounted price for members = $1.75 per slice of pizza

If Autum purchased the membership, the monthly cost for x slices of pizza

Monthly cost of x slices will be :

Membership cost + (discounted price * number of slices)

Monthly cost = $10 + ($1.75 * x)

Monthly cost = $10 + $1.75x

8 0

3 years ago