Distance Firework B would have traveled after 0.25 seconds:
240 x 0.25 = 60 feet

Let x be the time that it will explode together:
60 + 240x = 340x
100x = 60
x = 60 ÷ 100
x = 0.6 sec

Firework A will explode at 0.6 seconds after it is launched
Firework B will explode at (0.6 + 0.25) 0.85 seconds after it is launched.

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Answer: Firework B will explode at 0.85 seconds after it is launched.
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5 0

4 years ago

A certain family can afford a monthly mortgage payment of $1,340.00. With an APR of 5.25% per annum, what is the maximum mortgag

irina [24]

Answer:

$198,859.03

Step-by-step explanation:

The amortization formula is good for this. Fill in the given numbers and solve for the unknown.

A = P(r/n)/(1 -(1 +r/n)^(-nt))

where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P

P ≈ 1340/0.00673844 ≈ $198,859.03

The family can afford a loan for $198,859.

4 0

3 years ago

A consumer survey indicates that the average household spendsμ= $185on groceries each week. The distribution of spending amounts

Vitek1552 [10]

Answer:

$P(X>200)=P(\frac{X-\mu}{\sigma}>\frac{200-\mu}{\sigma})=P(Z>\frac{200-185}{25})=P(Z>0.6)$

And we can find this probability using the complement rule and with the normal standard table or excel:

$P(Z>0.6)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average household spent of a population, and for this case we know the distribution for X is given by:

$X \sim N(185,25)$