The amount to be invested today so as to have $12,500 in 12 years is $6,480.37.
The amount that would be in my account in 13 years is $44,707.37.
The amount I need to deposit now is $546.64.
<h3>How much should be invested today?</h3>
The amount to be invested today = future value / (1 + r)^nm
Where:
- r = interest rate = 5.5 / 365 = 0.015%
- m = number of compounding = 365
- n = number of years = 12
12500 / (1.00015)^(12 x 365) = $6,480.37
<h3>What is the future value of the account at the end of 13 years?</h3>
Future value = monthly deposits x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 5.3 / 12 = 0.44%
- n = 13 x 12 = 156
200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37
<h3>What should be the monthly deposit?</h3>
Monthly deposit = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = 6.7 / 12 = 0.56%
- n = 2 x 12 = 24
$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64
To learn more about annuities, please check: brainly.com/question/24108530
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Answer:
240 minutes or 4 hours
Step-by-step explanation:
So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.
If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.
Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.
So you have 45/80 and 45/120.
Now add both fractions by finding the lowest common denominator which is 240.
135/240 + 90/240 = 225/240
So Mack did the remaining 15/240.
Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.
Then multiply
15 x 16 = 240
so it would take him 240 minutes or 2 hours.
The resulting function g(x) is ...
g(x) = f(x +1)
g(x) = (((x +1) +1)(x +1) -2)(x +1) +1
= ((x +2)(x +1) -2)(x +1) +1
= (x² +3x)(x +1) +1
= x³ +4x² +3x +1
The shifted function g(x) is ...
g(x) = x³ +4x² +3x +1
