Application 11. dasha took out a loan of $500 in oeder to buy the # 1 selling book in the world, "math, what is it good for? " by smart e. pants. she plans to pay back this loanin 30 months. the loan will collect simple interest at 6.5% per year. how much will dasha have to pay back at the end of this time? what is the accumulated interest? [3 marks]

Step-by-step explanation:

The formula for the total accrued amount is

A = P(1 + rt)

Data:

P = $500

r = 6.5 % = 0.065

t = 30 mo

Calculations:

(a) Convert months to years

t = 30 mo × (1 yr/12 mo) = 2.5 yr

(b) Calculate the accrued amount

A = 500(1 + 0.065 × 2.5)

  = 500(1 + 0.1625)

  = 500 × 1.1625

  = 581.25

(c) Calculate the accumulated interest

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950