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Flauer [41]
3 years ago
9

Use the compound interest formulas A = Pert and A = P(1 + ) to solve. Suppose that you have $11,000 to invest. Which investment

yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually? Show your work
Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

Continuously

Step-by-step explanation:

Compounded continuously:

A = Pe^(rt)

A = 11,000 e^(0.0625 × 10)

A = 20,550.71

Compounded semiannually (twice per year):

A = P(1 + r)^t

A = 11,000 (1 + 0.063/2)^(2×10)

A = 11,000 (1 + 0.0315)^20

A = 20,453.96

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dybincka [34]

Explicación paso a paso:

Debemos buscar el costo de cada boleto y la cantidad de personas que deben ir.

Dada la función que da forma al comportamiento expresado como;

f (x) = (-2x) ^ 2 + 80x + 300 donde;

x es el costo de cada boleto

f (x) es el número de personas que deben ir

Para obtener x, usaremos la expresión;

x = -b / 2a

De la ecuación cuadrática dada, a = -2, b = 80 yc = 300

Sustituir;

x = -80/2 (-2)

x = -80 / -4

x = 80/4

x = 20

Por lo tanto, el boleto cuesta $ 20.

Lo siguiente es obtener la cantidad de personas que deben ir. Para conseguirlo, sustituiremos x = 20 en la expresión modelada como se muestra;

f (x) = (-2x) ^ 2 + 80x + 300

f (20) = (-2 (20)) ^ 2 + 80 (20) +300

f (20) = (-40) ^ 2 + 1600 + 300

f (20) = 1600 + 1600 + 300

f (20) = 3500

Por lo tanto, 3500 personas tienen que ir

8 0
3 years ago
Is 0.333 a natural number?
NeX [460]

Answer:

No, 0.333 is a rational number, not a natural number

Step-by-step explanation:

3 0
3 years ago
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A new health drink has ​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is mg. How m
Aleksandr-060686 [28]

Answer:

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Step-by-step explanation:

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2 years ago
2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 m
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The speed at which they are moving apart = 475 + 525 = 1000 mi/h

Time  = distance / speed
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The answer is 6 hours.



8 0
2 years ago
Austin goes to a trade show that sells reptiles. There is a $5.00 entrance fee. He visited a booth that sold geckos for $35 each
vivado [14]
The answer is D because 35x3 is 105 + the $5 fee is 110
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