Answer:
1. 8+<u>9</u>=9+8
2. 12+<u>0</u>=12
3.5(3+8)=<u>15</u>+40
Step-by-step explanation:
Answer:
Step-by-step explanation:
You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.
__
<h3>a)</h3>
Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.
__
<h3>c)</h3>
For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...
Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r
We want to find n such that ...
Sn ≥ 1,000,000
1 × (2^n -1)/(2 -1) ≥ 1,000,000
2^n ≥ 1,000,001 . . . . add 1
n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm
n ≥ 19.93
The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.
Answer:
Step-by-step explanation:
- log 2x + log (x - 5) = 2
- log (2x(x - 5)) = 2
- 2x(x - 5) = 10²
- 2(x² - 5x) = 100
- x² - 5x - 50 = 0
- x² + 5x - 10x - 50 = 0
- x(x + 5) - 10(x + 5) = 0
- (x - 10)(x + 5) = 0
- x = 10
- x = -5, this root is discounted as log should be positive.
Correct choice is 3.
I think... J because
x + 1 / x^3 - x
Factor out x from the expression
x + 1 / xx(x^2 - 1)
Use a^2 - b^2 = (a - b)(a + b) to factor the expression
x + 1 / x • (x - 1) • (x + 1)
Reduce the fraction with x+ 1
1 / x • (x - 1)
Distribute x through the parentheses
1 / x^2 - x
:)
Divide by a whole number to get 40 which is 5 and then keep left over 3/8 to get mixed number of 5 3/8
