Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
We have to calculate how much more money does Mike deposit each month. This can be done using the formula for the arythmetic sequence; S n = n/2 * ( a1 + an ). Here: a 1 = 9, n = 41 and a n = a 1 + ( n-1 ) d = 9 + 40 d. So : 9,389 = 41/2 * ( 9 + 9 + 40 d ); 9,389 = 41 / 2 * ( 18 + 40 d ); 9,389 = 41 * ( 9 + 20 d ) ; 9,389 = 369 + 820 d; 820 d = 9,389 - 369; 820 d = 9,020; d = 9,020 : 820; d = 11. Answer: He deposits $11 more each month.
Answer:
$11.00 or 11
same thing :)
*plug all other answer choices inside formula as d to check your answer*
Step-by-step explanation:
we need to use the arithmetic sequence formula
[tex]S_n=\frac{n}{2} [2a_1+(n-1)d]\\[/tex]
[tex]a_1=9\\n=41\\d=11 \\\\S_4_1=\frac{41}{2}[ (2)(4)+(41-1)(11)] \\\\S_4_1=\frac{41}{2} [8+(40)(11)]\\\\\S_4_1=\frac{41}{2} (18+440)\\\\S_4_1=\frac{41}{2} (458)\\\\S_4_1=20.5 (458)\\\\S_4_1=9,389[/tex]
He deposit 11 each month is right because the sum of the series ([tex]S_n[/tex]) is 9,389 and he saved 9,389 at the end of the 41 months.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.