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2 years ago

En una caja hay el doble de monedas que en otra. Si se pasan 7 monedas de la

1 answer:

8 0

De acuerdo con las ecuaciones lineales, la caja de mayor cantidad tuvo 28 monedas y la caja de menor cantidad tuvo 14 monedas.

<h3>Cuántas monedas hay en cada caja?</h3>

De acuerdo con el enunciado, existen dos cajas y una caja tiene el doble de monedas que la otra. Luego, se traslada 7 monedas a la caja de menor cantidad y se obtiene igual cantidad en ambas cajas. En consecuencia, la situación queda representada por la siguiente ecuación lineal:

2 · x - 7 = x + 7

(2 · x - x) - 7 = 7

2 · x - x = 7 + 7

(2 - 1) · x = 14

x = 14

La caja de menor cantidad tiene 14 monedas y la cantidad de monedas en la otra caja es:

y = 2 · x

y = 2 · 14

y = 28

La caja con mayor cantidad tiene 28 monedas.

Para aprender más sobre ecuaciones lineales: brainly.com/question/28371342

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Tyrone has $500 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he wil

Marrrta [24]

Answer:

$\$522.78$

Step-by-step explanation:

Let

x ---> the number of years

y ---> the amount in the account balance

Plan A

we have a linear equation of the form

$y=mx+b$

where

The slope is equal to

$m=\$100\ per\ year$

The y-intercept or initial value is

$b=\$500$

substitute

$y=100x+500$

For x=10 years

substitute

$y=100(10)+500=\$1,500$

Plan B

we have a exponential growth function of the form

$y=a(1+r)^x$

where

$a=\$500\\r=15\%=15/100=0.15$

substitute

$y=500(1+0.15)^x$

$y=500(1.15)^x$

For x=10 years

substitute

$y=500(1.15)^{10}=\$2,022.78$

Find the difference of the two account balances after 10 years

$\$2,022.78-\$1,500=\$522.78$

3 0

3 years ago

For the function f(t)+Pe^rt, if P = 8 and r = 0.08, then what is the value of f(8) to the nearest tenth?

Bogdan [553]

F(t) = P.e^(r.t) [ and not as you wrote it f(t)+Pe^rt]
plug in:

f(t) = 8.e^(0.08t) (where e = 2.718 and t=8 given, f(8))
f(8) = 8.(2.718)^(0.08*8) = 21.74^(0.64)

f(8) = 7.17

4 0

3 years ago

Read 2 more answers

Determine the value of x. Write the answer in an inequity. Use x only once in the inequality

Romashka-Z-Leto [24]

Answer: 1 < x < 25

<u>Step-by-step explanation:</u>

The sum of two sides must be GREATER than the third side.

a + b > c a + c > b b + c > a

12 + 13 > x 12 + x > 13 13 + x > 12

25 > x x > 1 x > -1

x < 25 1 < x

Length cannot be negative so disregard x > -1

We are left with 1 < x and x < 25

1 < x < 25

4 0

3 years ago

A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer

Ostrovityanka [42]

well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

$\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}$