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Alexxandr [17]
3 years ago
15

A principal of $3400 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 15 years? U

se the calculator provided and round your answer to the nearest dollar.
Mathematics
1 answer:
DENIUS [597]3 years ago
4 0
A = $ value after 15 years
P = principal (initial deposit)
r = annual % rate
n = # of times interest compounds per year
t = # of years the money is invested

Formula:
A = P (1 + r/n)^(nt)

A= $3400(1+ 0.0775/1) ^(1*15)
A= 3400(1.0775)^15
A= 3400(3.0637913274)
A= $10,417 investment after 15 years

Hope this helps! :)
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Answer:

None of the options is correct

Step-by-step explanation:

It is important to know that he expression a < x < b means that x is greater than a and less than b. So, for finding the correct value let's analyse each option.

A. 4 < 50 < 5

50 is greater than 4 but it is not less than 5, so, option A is incorrect.

B. 7 < 50 < 8

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C. 8 < 50 < 9

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D. 10 < 50 < 11

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Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

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