Answer: the worth of the prize today is $150000
Step-by-step explanation:
We would apply the formula for determining present annuity. It is expressed as
PV = R[1 - (1 + r)^- n]r
Where
PV represents the present value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
r = 0.07/12 = 0.0058
n = 150
Therefore,
PV = 1500[1 - (1 + 0.0058)^- 150]/0.0058
PV = 1500[1 - (1.0058)^- 150]/0.0058
PV = 1500[1 - 0.42]/0.0058
PV = 1500[0.58]/0.0058
PV = 1500 × 100
PV = $150000
We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
The correct answer is option "b", "<span>The Johnsons increased their liquid assets".
</span><span>The inquiry is giving us the accompanying situation: "so as to reduce their debt, the Johnson's sold some land property esteemed at $165,000 for $143,000. They paid off an advance adjust of $100,000 and put the rest in investment funds." We can see that they really lost cash - they got for the house not as much as the house is worth - they diminished their net esteem. Be that as it may, they have more money that they can utilize (the investment funds) - this is called liquid assets, so the right answer is b, The Johnsons expanded their liquid assets.
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Answer:
h=2.2
Step-by-step explanation: