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2 years ago

14

A house has increased in value by 32% since it was purchased. If the current value is $429000, what was the value when it was pu

rchased?

1 answer:

aleksandr82 [10.1K]2 years ago

5 0

Answer:

The value of the house when it was purchased was $137,280.

Step-by-step explanation:

To solve this equation, you need to multiply 429,000 by 32%.

429,000 x 0.32 = $137,280

Hope this helped!

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2 years ago

Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w

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(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

P(Charlie Wins)=2/4
P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

P(Lucy Wins)=2/4
P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

$\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|$

Expected Profit

$=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0$

Lucy's expected profit from the game is $0.

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3 years ago