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irina [24]
3 years ago
15

The value, V, of Kalani’s stock investments over a time period, x, can be determined using the equation v=750(0.80)-x. What is t

he rate of increase or decrease associated with this account? 20% decrease 20% increase 25% decrease 25% increase
Mathematics
2 answers:
Snowcat [4.5K]3 years ago
6 0
The rate of increase and decrease associated with Kalani's stock investments would be a 25% per year increase.

Therefore, the correct option of all the answer choices you listed is: C.
Alex17521 [72]3 years ago
4 0

Answer:

Hence, the rate of change is:

25% increase.

Step-by-step explanation:

We are given a function V, of Kalani's stock investments over a time period,x as:

V(x)=750\times (0.80)^{-x}

Now the rate of increase or decrease in percent associated with this account can be calculated as:

\dfrac{V(x+1)-V(x)}{V(x)}\times 100

=\dfrac{750\times (0.80)^{-(x+1)}-750\times (0.80)^{-x}}{750\times (0.80)^{-x}}\times 100\\\\\\=\dfrac{750\times (0.80)^{-x}\times ((0.80)^{-1}-1)}{750\times (0.80)^{-x}}\times 100\\\\\\\\=(\dfrac{1}{0.80}-1)\times 100\\\\=\dfrac{1-0.80}{0.80}\times 100\\\\\\=\dfrac{0.20}{0.80}\times 100\\\\=\dfrac{20}{80}\times 100\\\\=\dfrac{1}{4}\times 100\\\\=25\%

Hence, the rate of increase is:

25%.

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3 years ago
Un apostador pierde en su primer juego el 30% de su dinero, en el segundo juego pierde el 50% de lo que perdió; finalmente en el
sergiy2304 [10]

Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

= 30/100 \ of \ x\\= 0.3x

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

0,3475x = 37

x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

= 106.48-79.86\\= 26.62

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