All categories

3 years ago

Write the explicit rule for the nth term. Then find a71. {O, -8, -16, -24 ...}

Mathematics

1 answer:

yulyashka [42]3 years ago

3 0

Answer:

Step-by-step explanation:

{0, -8, -16, -24,...} here you add -8 each time so the rule is

$a_{1} = 0, a_{n} = a_{n-1} -8$

the 71 term is

$a_{71} = 0 + (71 - 1) * (-8) = 70 * (-8) = -560$

You might be interested in

Identify the line of the axis of symmetry for the quadratic f(x)= x^2 +6x + 8

suter [353]

Negative x axis
Since , the value of x comes out to be -2and -4 .
;))))

3 0

3 years ago

In a survey of 1090 investors, it was determined that 690 invested in stocks, 575 in bonds and 300 in both stocks and bonds.

solniwko [45]

something is wrong with your question bc 690 plus 575 equals to 1265

4 0

3 years ago

Read 2 more answers

There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s

harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

Original Mean = $70,000

$\frac{\sum X}{n}$ = $70,000 ⇒ $\sum X$ = 70,000 * 10 = $700,000

New $\sum X$ after change = $700,000 - $100,000 + $1,000,000 = $1600000

Therefore, New mean = $\frac{1600000}{10}$ = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = $20000^{2}$ i.e. $20000^{2}$ = $\frac{\sum x^{2} - n*xbar }{n -1}$

Original $\sum x^{2}$ = ( $20000^{2}$ * (10-1)) + (10 * 70,000) = $3,600,700,000

New $\sum x^{2}$ = $3,600,700,000 - $100,000^{2} + 1,000,000^{2}$ = 9.936007 * $10^{11}$

New Variance = $\frac{new\sum x^{2} - n*new xbar }{n -1}$ = $\frac{9.936007 *10^{11} - 10*160000 }{10 -1}$ = 1.103999 * $10^{11}$ Therefore, standard deviation after change = $\sqrt{1.103999 * 10^{11} }$ = $332264.804 .

7 0

4 years ago

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r

andrey2020 [161]

Answer:

$80

Step-by-step explanation:

From the question, we are given The simple interest formula as I = Prt,

where l = simple interest on an amount= $40

t= years=5years

at a rate r= 10%

The rate= 10/100= 0.1

Then since we are looking for P, we can make P subject of formula from this expression;

I = Prt

P=I/rt

P= 40/(0.1 ×5)

P= 40/0.5

P= 80

therefore, the amount of money p that is needed is $80

5 0

3 years ago

How do you sketch the angle in standard position and 40 degrees

katen-ka-za [31]

A 40 degree angle: go from the right positive side of the x-axis and go left (left is positive degrees) forty degrees, which is a little less than halfway in quadrant 1.

8 0

3 years ago