Paula frye loaned $10,000 to her son's new business at 5% ordinary simple interest (360-day year). at the end of the loan period, paula received the $10,000 plus $125 interest. compute the length of the loan period (to the nearest day)

The length of the loan period is 0.25 years , i.e 3 months

Step-by-step explanation:

Given as :

The loan amount = $ 10,000

The rate of interest applied = 5 % at simple interest yearly

The Amount receive = $ 10 ,000 + 125 interest

So, The interest receive for the loan  = $ 125

Let the duration of loan period = T years

From Simple Interest method

Simple Interest =

or, $ 125 =

or. 125 × 100 = 10,000 × 5 × T

or, T =

or, T =

∴ T = 0.25

So, the time period of loan = 0.25 years = 3 months

Hence The length of the loan period is 0.25 years , i.e 3 months  Answer

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d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.