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2 years ago

If there is 1000$ in the lockbox what year will it be worth 64,000$ at 24% interest?

Mathematics

1 answer:

Leni [432]2 years ago

7 0

Hey there!

First, set up an exponential equation that represents the rate at which your original amount, 1000, gains interest:

y = 1000(1.24)^x

Y represents the value after X years. 1.24 represents the rate at which the money gains interest, 1 + 0.24 (your 24% interest rate in decimal form). 1000 is your original amount.

Now, set this equation equal to 64000, graph y = 64000 and y = 1000(1.24)^x on a graphing calculator, and see where the two equations intersect in order to solve for x.

They intersect when x is about 19.334, as seen in the graph below (it is very zoomed in so that you can see where the two functions intersect). Therefore, it will be about 19 years after the year in which you deposited the 1000 dollars before the money is worth 64000 dollars.

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A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting i

dedylja [7]

Answer: C. $\dfrac{1}{3}$

Step-by-step explanation:

Given: Box contains 8 green balls and 4 purple balls.

Total balls = 8+4 = 12

event 1 = first picking green ball

event 2 = second picking purple balls.

As first ball was replaced, that means both events are independent.

Probability that you have selected a green ball and then a purple ball = P(purple ball )

Formula for probability = $\dfrac{\text{favorable outcomes}}{\text{total outcomes}}$

Probability of selecting a purple ball (second pick)= $\dfrac{4}{12}$

$=\dfrac{1}{3}$

The required probability $=\dfrac{1}{3}$ , so C is correct option.

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3 years ago

PLS HELP 20 POINTS!

sashaice [31]

Answer: f> 24s+250
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11 months ago

What is the vertex of the function f(x) = x2 + 12x?

Sophie [7]

We can start by figuring out the axis of symmetry.

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So roots are x = -12 or 0

Therefore axis of symmetry is x = (-12 + 0) / 2 = -6

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Therefore vertex is (-6, -36).

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3 years ago

Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc

Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

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Answer:

A and B are the answers on Edge.

Step-by-step explanation:

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3 years ago

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