Mike started a savings account by depositing $9. Each month he deposits more money than the month before. At the end of 41 months, he has saved $9,389.00. How much more does he deposit each month

Answers

Answer 1

Answer: 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 2

Answer:

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

$S_n=(n)/(2) [2a_1+(n-1)d]\n$

$a_1=9\nn=41\nd=11 \n\nS_4_1=(41)/(2)[ (2)(4)+(41-1)(11)] \n\nS_4_1=(41)/(2) [8+(40)(11)]\n\n\S_4_1=(41)/(2) (18+440)\n\nS_4_1=(41)/(2) (458)\n\nS_4_1=20.5 (458)\n\nS_4_1=9,389$

He deposit 11 each month is right because the sum of the series ( $S_n$ ) is 9,389 and he saved 9,389 at the end of the 41 months.

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Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. He calculates that the extra money he pays in additional interest each year, if invested at the rate of 2% for one year, could earn him simple interest totaling $180. How much does Benson pay in additional interest each month?

Answers

Given:
Interest = 180
term = 1 year
Interest rate = 2%

We need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term
180 = P * 2% * 1
180 / 2% = P
9,000 = Principal

Benson pays an additional interest of 9,000 each year. A monthly payment of 750.

9,000 / 12 months = 750 per month.

Based on the amount that Benson could earn if he invested the additional interest for one year, the additional interest per month is $750.

What additional interest is Benson paying?

This can be found by the formula:

= (Simple interest amount earned / Number of months in year) / Simple interest rate

Solving gives:

= (180 / 12) / 0.02

= 15 / 0.02

= $750

Find out more on additional interest at brainly.com/question/27037531.

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Which one of the following examples represents a proper fraction?

Answers

B. because its not an improper fraction and a proper fraction is the numerator is less than the denominator

The answer is B because this is the only one where both numerator and denominator don't have a common factor or can be changed into a mixed number.

3. What is the slope of the table shown? Cars Washed Number Money ($) 5 40 10 80 15 120 20 160

Answers

The slope is 8.
(5,40) (10,80)
80-40=40
10-5=5
40/5=8

You buy tealight candles and mints as party favors for a baby shower. The tealight candles come in packs of 12 for $3.50. The mints come in packs of 50 for$6.25. What is the least amount of money you can spend to buy the same number of candles and mints?