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ch4aika [34]
3 years ago
5

if you were to place $2,500 in a savings account that pays 5% interest compounded continuously, how much money will you have aft

er 10 years? assume you make no other deposits or withdrawals.
Mathematics
1 answer:
hoa [83]3 years ago
6 0
F=pe^tr»f=2500*2.718282^0.05*10=1.6487213227×2,500 =4,121.8033068064
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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
PLEASE ANSWER THIS? WHAT IS EG
crimeas [40]
It's the points of the triangle E----------G
They are the twin points
5 0
2 years ago
Help me out please !!!!!
evablogger [386]

Answer:

37

Step-by-step explanation:

45+98+x=180


7 0
3 years ago
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Find the measure of the angle of elevation of the sun when a pole 35 feet tall casts a shadow of 47 feet long. Round your answer
Fantom [35]

Answer:1.3

Step-by-step explanation:

7 0
3 years ago
Each of 5 gift bags contains X pencils.Tyler add 3 more pencil to each bag.together the gift pack contain 20 pencils.
noname [10]

Answer:

4.6

Step-by-step explanation:

5x +3 = 20

5x = 23

x = 4.6

5 0
3 years ago
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