You get a gift of $1,000.  You decide that you want to invest all of the money in a savings account.  However, your bank has two different savings plans.  Determine the final amount in the account for each plan in 5 years.  Round your answers to two decimal places if needed.   
Plan A:  The bank gives you 4% interest rate and it is compounded every two months.  
 
Plan B:  The bank gives you a 10% interest rate and compounds the interest every 6 months.

Final Account balance for Plan A: $ 
 
Final Account balance for Plan B: $

Step-by-step explanation:

write what you know

P = 1,000

n = 5 years

Plan 1

i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%

write and solve

future value = p(1+i)^n = 1000(1+0.24)^5

plan 2

i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%

write and solve

future value = p(1+i)^n = 1000(1+0.20)^5

i need the options

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true