Answer: The answer is C.
Step-by-step explanation: Brainliest if correct
The sum of n terms of a geometric sequence with first term "a" and common ratio "r" is given by
You have a=21, r=3, so the sum of 10 terms is
The appropriate choice is the 2nd one:
620,004
Answer: Philip can earn back his initial investment in 12.4 years
Step-by-step explanation:
Amount Invested by Philips in period annuity = 800,000
Annual Percentage Rate (APR) = 5.2%
APR compounded monthly for a period of 20 years.
Amount to be received per annuity period = 800,000 * (((1+(0.052/12))^240)*(0.052/12))/(((1+0.052/12))^240)-1)
= 5368.43
Time taken ( in months ) by Philip to earn back his initial investment = 800,000/5368.43 = 149.02 months
Time taken ( in years ) by Philip to earn back his initial investment = 149.02/12 = 12.4 years
Hope it helps.
Thank you :)
2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
