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SVEN [57.7K]
3 years ago
8

What is the product of (3a + 2)(4a2 - 2a + 9)?

Mathematics
1 answer:
natka813 [3]3 years ago
4 0

Answer:

12a³+2a²+23a+18

Step-by-step explanation:

(3a+2)(4a²-2a+9)=

12a³-6a²+27a+8a²-4a+18=

12a³+2a²+23a+18

If you need more explanation, reply to this answer.

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Dimas [21]

check the picture below.

8 0
3 years ago
Some Math i can’t helppp
mezya [45]

Annually The amount after 10 years = $ 7247.295

quarterly compound after 10 years = $7393.5

Continuously interest =$7,419

Given:

P = the principal amount

r = rate of interest

t = time in years

n = number of times the amount is compounding.

Principal =  $4500

time= 10 year

Rate = 5%

To find: The amount after 10 years.

The principal amount is, P = $4500

The rate of interest is, r = 5% =5/100 = 0.05.

The time in years is, t = 10.

Using the quarterly compound interest formula:

A = P (1 + r / 4)4 t

A= 4500(1+.05/4)40

A= 4500(4.05/4)40

A= 4500(1.643)

Answer: The amount after 10 years = $7393.5

Using the Annually  compound interest formula:

A = P (1 + r / 100) t

A= 4500(1+5/100)10

A= 4500(105/100)10

Answer: The amount after 10 years = $ 7247.295

Using the Continuously  compound interest formula:

e stands for Napier’s number, which is approximately 2.7183

A=Pex^{rt} \\A=4500(e)^{.5} \\A= 4500(2.71)^{.5}

A= $2,919

Answer: The amount after 10 years = $4500+$2,919=$7,419

More details :brainly.com/question/13307568

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7 0
1 year ago
Your hotel has 200 rooms in Dallas. There is a sport event coming up, and fans either book a rooms months before or wait for the
dedylja [7]

Answer:

89 rooms should be set for early book customer

Step-by-step explanation:

According to the given data we have the following:

OVERAGE(CO) = 200

SHORTAGE(CS) = 500

In order to calculate how many rooms should be set for early book customer we would have to use the following formula:

OPTIMAL BOOKING = MEAN + (Z * STDEV)

MEAN = 75

STDEV = 25

SERVICE LEVEL= CS / (CS + CO) = 500 / (500 + 200) = 0.7143

Z VALUE FOR 0.7143 = 0.57

OPTIMAL BOOKING =  75 + (0.57 * 25) = 89

89 rooms should be set for early book customer

3 0
3 years ago
Name the Property of Equality that justifies the statement: If m&lt;A + M&lt;B = M&lt;C. Then, M&lt;A = M&lt;C - M&lt;B
adoni [48]
The subtracton property of equality allows you to subtract the same amount from both sides of an equation without changing the truth of the equation.
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3 years ago
The dimensions of a trapezoid are shown below. Which equation could you use to find the Area of the Trapezoid?
Contact [7]

Answer:

See Explanation

Step-by-step explanation:

No trapezoid is attached; so, I will solve on a general note

The area of a trapezoid is:

Area = \frac{1}{2}(Sum\ of\ parallel\ sides) * Height

Using the attached image as a point of reference;

The parallel sides are: AD (6cm) and BD (12cm)

The height is 4cm

So, the area is:

Area = \frac{1}{2} * (6cm + 12cm) * 4cm

Area = 18cm * 2cm

Area = 36cm^2

7 0
3 years ago
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