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3 years ago

What is forty nine eight hundred and one ten thousands in a decimal

Mathematics

1 answer:

GREYUIT [131]3 years ago

5 0

Answer:, 49.010000.

Step-by-step explanation:

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the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t

777dan777 [17]

Answer:

ratio: 2/3
sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

a2 = a1·r^(2-1) = a1·r

a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

a2 = 18 = a1·(2/3)

a1 = (3/2)·18 = 27

The sum of the first 6 terms is ...

Sn = a1·(r^n -1)/(r -1)

S6 = 27·((2/3)^6 -1)/(2/3 -1)

S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0

4 years ago

Bob is a bus driver, and his monthly salary is $1510. If the New York State income tax rate is 6.45%. How much did the money ded

viva [34]

Answer:

Step-by-step explanation:

step one:

given data

Bob's monthly salary is $1510

tax= 6.45%

Required

The deduction and his take-home salary

Step two:

let us compute the deduction

=6.45/100*1510

=0.0645*1510

=$97.4

Let us compute his take home

=monthly salary- tax deduction

=$1510-$97.4

=$1412.6

6 0

3 years ago

Joseph ordered 17 yards of lumber to build a tree house. how many inches of lumber did he order?

masya89 [10]

Answer:

612 inches.

Step-by-step explanation:

1 yard = 36 inches.

17 * 36 =

8 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

nataly862011 [7]

Answer: $\bold{-\dfrac{1}{2}}$

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

Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m = \dfrac{-2+1}{1+1}$

$=-\dfrac{1}{2}$

8 0

3 years ago

Read 2 more answers

Solve for x

Mademuasel [1]

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

$11^{x}$ = $11^{4}$ × $11^{5}$ = $11^{(4+5)}$ = $11^{9}$

Since the bases on both sides are common, then equate the exponents

x = 9

4 0

3 years ago

What is forty nine eight hundred and one ten thousands in a decimal​

What is forty nine eight hundred and one ten thousands in a decimal