6. $20,000 invested at 8% interest compounded daily for 10 years. 7. $15,000 invested at 5% interest compounded every 4 months for 6 years.

8. $7,000 invested at 5% interest compounded continuously for 3 years.
9. $10,000 invested at 7% interest compounded continuously for 10 years.

someone give me the answers for 6,7,8,9. pleas

9514 1404 393

  6.  $44,506.92

  7.  $20,197.88

  8.  $8,132.84

  9.  $20,137.53

Step-by-step explanation:

The formula for future value is ...

  FV = P(1 +r/n)^(nt)

for principal P at annual interest rate r compounded  n times per year for t years.

This formula is built in to most spreadsheet programs, which can be usefully used to calculate its value for different values of the variables. The spreadsheet function needs the interest rate per period (r/n) and the number of periods (nt).

Continuous compounding can be reasonably approximated by compounding 100 million times per year. Or the continuous compounding formula can be used:

  FV = Pe^(rt)

The attached spreadsheet shows the values for these problems, and it shows the formula used to obtain them.

_____

Additional comment

Spreadsheet functions often work in terms of cash flow. A payment has one sign, and a value received has the opposite sign. Here, we have shown -FV( ) in the spreadsheet, because the given arguments would otherwise show the FV as negative. (More properly, the last function input would be the opposite of the principal value, as it is a payment being made.)

∠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.

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