Joan alexander wants to go on a long and luxurious vacation in three years. she could earn 8.20% compounded monthly in an account if she were to deposit the money today. she needs to have $10,000 in three years. how much will she have to deposit today?

$7825.86

Step-by-step explanation:

The formula to find the compound amount ( if compounded monthly) :-

, where n is number of years, r is  rate of interest and P is principal amount.

Given : A=$10,000

r=8.20%=0.082

t= 3 years

Then, the compounded amount will be :-

[Rounded to nearest cent]

Hence, she have to deposit $7825.86 today.

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step-by-step explanation:

i took the test: )

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.