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

7

step-by-step explanation:

the answer would be 7

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it