Which of the given is irretional number? OPTIONS:A.)√256 B.)√225/576 C.)√3 D.)√9×16 .

Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

8 0

3 years ago

please help me with these two problems PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE

lisov135 [29]

You can use Math-way for problems like this !! ... it’s an app it’s good for giving you answers on math equations

4 0

3 years ago

What is the double of a hundred?

larisa86 [58]

Answer:

200

Step-by-step explanation:

100 * 2 = 200

8 0

3 years ago

Read 2 more answers

The mean monthly car payment for 123 residents of the local apartment complex is $624. What is the best point estimate for the m

Natali [406]

Answer:

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this question:

We apply the inverse Central Limit Theorem.

The mean monthy car payment for 123 residents of the local apartment complex is $624.

So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.

3 0

3 years ago

HELP!!!! 60 POINTS to whoever does this (geometry proof)

ASHA 777 [7]

Answer:

A) This is correct. The angles of AEB are the angles of DEC. This means that this is true.

B) This is incorrect. This triangle is NOT an isosceles triangle. The angles of an isosceles triangle are supposed to be about 36° for the top angle, and 72° for the other two angles. (At least this is what I was told)

Hope this helps :)

-wait. .___. they both might be true.

According to G oogle: "All the three angles situated within the isosceles triangle are acute, which signifies that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°, which means we can find out the third angle of a triangle if the two angles of an isosceles triangle are known."

6 0

3 years ago

Which of the given is irretional number? OPTIONS:A.)√256 B.)√225/576 C.)√3 D.)√9×16 .​

Which of the given is irretional number? OPTIONS:A.)√256 B.)√225/576 C.)√3 D.)√9×16 .