If $1000 is invested in an account earning 3% compounded monthly, how long will it take the account to grow in value to $1500? round to the nearest month.

14 months

Step-by-step explanation:

1 month) 1.03(1000) = 1030

2 months) 1030(1.03) = 1060.9

3 months) 1060.9(1.03) = 1092.727

4 months) 1092.727(1.03) = 1125.50881

5 months) 1125.50881(1.03) = 1159.2740743

6 months) 1159.2740743(1.03) = 1194.05229653

7 months) 1194.05229653(1.03) = 1229.87386542

8 months) 1229.87386542(1.03) = 1266.77008139

9 months) 1266.77008139(1.03) = 1304.77318383

10 months) 1304.77318383(1.03) = 1370.01184302

11 months) 1370.01184302(1.03) = 1411.11219831

12 months) 1411.11219831(1.03) = 1453.44556426

13 months) 1453.44556426(1.03) = 1497.04893119

14 months) 1497.04893119(1.03) = 1541.96039912

I multiplied them all by 1.03 because 0.03 is 3% but if I multiplied the numbers by 0.03 it would give me 3% of that number instead of increasing it by 3% so by doing 1.03 x the number I am adding the 3% onto the number

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

read more on -

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls