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mart [117]
2 years ago
6

A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find

the value of the home after x years? f(x) = 120,000(1.055x) f(x) = 120,000(0.055)x f(x) = 120,000(1.055)x f(x) = [(120,000)(1.055)]x
Mathematics
2 answers:
lyudmila [28]2 years ago
8 0

<u>Answer:</u>

f(x)=120000 \times (1.055)^{x}

<u>Step-by-step explanation:</u>

We are given that the present value for the home is $120,000 and the rate of interest is 5.5% i.e. 0.055.

We will use the following formula:

f(x)=P \times (1+r)^{x}

where P is the present value, r is the rate of interest and x is the number of years.

Substituting the values in the above formula to get:

f(x)=120000 \times (1+0.055)^{x}

f ( x ) = 120000 \times ( 1.055 ) ^ { x }

larisa86 [58]2 years ago
7 0

Answer:

C

F(x) = 120000(1.055)x

Step-by-step explanation:

Just took the test

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Assume that the ages for first marriages are normally distributed with a mean of 26 years and a standard deviation of 4 years. W
Snowcat [4.5K]

Answer:

0.7743

Step-by-step explanation:

Mean of age = u = 26 years

Standard Deviation = \sigma = 4 years

We need to find the probability that the person getting married is in his or her twenties. This means the age of the person should be between 20 and 30. So, we are to find P( 20 < x < 30), where represents the distribution of age.

Since the data is normally distributed we can use the z distribution to solve this problem. The formula to calculate the z score is:

z=\frac{x-u}{\sigma}

20 converted to z score will be:

z=\frac{20-26}{4}=-1.5

30 converted to z score will be:

z=\frac{30-26}{4}=1

So, now we have to find the probability that the z value lies between -1.5 and 1.

P( 20 < x < 30) = P( -1.5 < z < 1)

P( -1.5 < z < 1 ) = P(z < 1) - P(z<-1.5)

From the z-table:

P(z < 1) = 0.8413

P(z < -1.5) =0.067

So,

P( -1.5 < z < 1 ) = 0.8413 - 0.067 = 0.7743

Thus,

P( 20 < x < 30) = 0.7743

So, we can conclude that the probability that a person getting married for the first time is in his or her twenties is 0.7743

6 0
2 years ago
1. Greg Forrester's charge account statement showed a previous balance 20 points
Slav-nsk [51]

Answer:

Option $152.19

Step-by-step explanation:

Data provided in the question:

Previous balance = $152.35

Finance charge = $1.78

New purchases of $45.23 and $15.67

Payment = $50.00

Credit = $12.84

Now,

New Balance

= [Previous balance + Finance charge + New purchases ] - [ Payments + Credits ]

= [ $152.35 + $1.78 + ($45.23 + $15.67) ] - [$50.00 + $12.84 ]

= $215.03 - $62.84

= $152.19

Hence,

Option $152.19

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2 years ago
Alisa says it is easier to compare the numbers in set A than the numbers in set B
kvv77 [185]
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2 years ago
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In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class.
astraxan [27]
14 is the answer bc u have to multiply 7x2 <3
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2 years ago
Exercise 5.6.6: Selecting a committee of senators. About A country has two political parties, the Demonstrators and the Repudiat
krok68 [10]

Answer:

There are 4,148,350,734,528 ways

Step-by-step explanation:

We have

  • 44 senators which are Demonstrators.
  • 56 senators which are Repudiators.

(a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators?

We want to choose 5 Demonstrators and 5 Repudiators. The number of ways to do this is {44} \choose {5} and 56 \choose 5 respectively. Therefore, the number of ways to select the committee is given by:

{{44}\choose {5}} \times {{56}\choose{5}}=\frac{44!}{39!5!}\times\frac{56!}{51!5!}=\frac{44!56!}{51!39!5!5!}=\frac{44\times43\times42\times41\times40\times56\times55\times54\times53\times52}{5!5!}=\\\\=\frac{44\times43\times42\times41\times8\times56\times11\times54\times53\times52}{4!4!}= \frac{11\times43\times42\times41\times2\times56\times11\times54\times53\times52}{3!3!}=\\\\\frac{11\times43\times14\times41\times2\times56\times11\times18\times53\times52}{2!2!}=

11\times43\times14\times41\times28\times11\times18\times53\times52=4,148,350,734,528

(b) Suppose that each party must select a speaker and a vice speaker. How many ways are there for the two speakers and two vice speakers to be selected?

  • <u>If the speaker and vice speaker are chosen between all senators:</u> In this case, the answer will be

44\times43\times56\times55=5,827,360.

This is because there are (in the case of Demonstrators) 44 possibilities to choose an speaker and after choosing one, there would be 43 possibilities to choose a vice speaker. The same situation happens in the case of Repudiators.

  • <u>If the speaker and vice speaker are chosen between the committee:</u> In this case, the answer will be

5\times4\times5\times4=400.

3 0
2 years ago
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