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jenyasd209 [6]
3 years ago
8

Calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two type

s of annuities, all else equal, which type is more preferable
Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer: Here's the complete question.

calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two types of annuities, all else equal, which type is more preferable? Why? Amount of annuity Interest rate Deposit period (years) $500 12% 6

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it discounts for one less year

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it discounts for one less year.

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it compounds for one more year.

Step-by-step explanation:

Future value of ordinary annuity = Amount*[{(1+r)n – 1}/r]

= 500*[{(1.12)6 – 1}/0.12]

= $4,057.59

i.e. $4,058

Future value of annuity due = (1+r)*Future value of ordinary annuity

= 1.12*4,058

= $4,545

Hence, the answer is

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Since payments are made at the beginning of the year

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Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500
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Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

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Find the area of each parallelogram plz help
xxTIMURxx [149]
Answer:  The area of the parallelogram is:
_______________________________________________________
\frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
 A = base * height = b * h ;

From the figure (from the actual "question"):
_______________________________________
         b = 50.5 in.

         h = 23.25 in.
____________________________________________________________
Method 1)  A = b * h =
                 
                     =  (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as:  1174 <span>⅛ .
</span>____________________________________________________________
Method 2)  A = b * h =
             
                      =  (50 ½ in) * (23 <span>¼ in) =
   
                      =    (</span>\frac{101}{2} in) * (\frac{93}{4}<span> in) ;
</span>___________________________________________________________
Note:  "50 ½ " = [(50*2) + 1 ] / 2  = \frac{101}{2} ;

Note:  "23 ¼ " = [(23*4) + 1 ] / 4  = \frac{93}{4} ;
____________________________________________________________
→  A =  (\frac{101}{2} in) * (\frac{93}{4} in) ;
 
→  A = \frac{(101*93)}{(2*4)}  in² = \frac{9393}{8}  in² ; 
          
→  A = (9393/8) in² =  
         
→  A  = \frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
________________________________________________________
5 0
3 years ago
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