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Elena-2011
6 days ago
11

An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of

a
visitor riding its smallest roller coaster is 20 percent, and the probability of a visitor riding both roller coasters is 15 percent.
Which equation can be used to calculate the probability of a visitor riding the largest or the smallest roller coaster?
P(largest or smallest) = 0.30 - 0.20
P(largest or smallest) = 0.30 + 0.15-0.20
P(largest or smallest) = 0.30 +0.20 -0.15
P(largest or smallest) = 0.30 + 0.20
Mathematics
2 answers:
tester [11.9K]6 days ago
5 0

Response:

P(largest or smallest) = 0.30 + 0.20 - 0.15

Detailed explanation:

Leona [12.1K]6 days ago
5 0

Response:

P(largest or smallest) = 0.30 + 0.20 - 0.15

Detailed explanation

You add the probabilities of choosing the largest and smallest without double counting the chance of selecting both.

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How much money, as a one-time deposit, PV, would you need to deposit into an account that earns 1.5% compounded monthly to earn
PIT_PIT [11939]

Response:

To accumulate $7,500 in three years, the required one-time deposit is $4388.17

Step-by-step explanation:

Basic Financial Formulas

A commonly used formula for calculating present and future values is

FV=PV(1+r)^{n}

Where FV represents the future value, PV denotes the present value, r signifies the interest rate, and n indicates the number of compounding periods. It’s essential to remember that r and n must correspond to the same compounding duration, e.g. r is compounded monthly while n is expressed in months.

The inquiry seeks to determine the PV necessary as a one-time deposit to achieve a future value of $7,500 in 3 years at an interest rate of 1.5% compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We have changed n to months since r is monthly compounded. The equation

FV=PV(1+r)^{n}

must be arranged to isolate PV.

PV=FV(1+r)^{-n}

PV=7,500(1+0.015)^{-36}

PV=\$4388.17

Response

: The amount necessary as a one-time deposit to accrue $7,500 in three years is $4388.17[[TAG_54]]
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