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2 years ago

Need help!! I can't figure this out

Mathematics

1 answer:

Sidana [21]2 years ago

7 0

9514 1404 393

Answer:

12. $1,035,057.23

13. $988,881.23

14. $7,762.93

15. $8,686.16

16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

13. The total of payments is ...

$74×12×52 = $46,176

So, the interest earned is ...

$1,035,057.23 -46,176 = $988,881.23

14. The amount available in perpetuity is the monthly interest on this account balance.

$1,035,057.23 × .09/12 = $7,762.93

15. The monthly amount available for 25 years is found from the amortization formula:

A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

16. The amortization formula is used for this, too.

8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

P = $8066/0.00833568 = $967,647.66

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<h3>Angle 6 = 101°</h3><h3>Angle 5 = 79°</h3><h3>Angle 7 = 79</h3>

Step-by-step explanation:

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This is because we can see that Angle 4 is alternate interior angle to Angle 6 and alternate interior angles are always equal.

<h2>So angle 6 will be 101°</h2>

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