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Tasya [4]
2 years ago
11

PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 mont

hly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Mathematics
1 answer:
xxTIMURxx [149]2 years ago
5 0

Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

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6 0
2 years ago
A sample of bacteria is decaying according to a half-life model. If the sample begins with 200 bacteria and after 5 minutes ther
77julia77 [94]
<h2>Hello!</h2>

The answer is:

There will remain a total of 134 bacteria after 7 minutes.

<h2>Why?</h2>

Exponential decay calculations are commonly used to find the decrease of amounts of populations, bacterias, and other situations when using proportional relationships. In order to find the problem, we must remember the equation used to calculate the exponential decay.

Decay=S(1-r)^{t}

Where,

S, is the starting value/amount

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We are given that the numbers of bacteria decrease by 50 after 5 minutes, starting with 200, and after 5 minutes the number of bacteria is 150

Calculating the rate of decrease, we have:

Rate=\frac{Decrease}{Starting}=\frac{200-150}{200}=\frac{50}{200}=0.25

Therefore, the rate of decrease is 0.25 or 25% (after multiplying the number by 100)

Then, substituting the given information and the rate of decrease into the decay equation, we have:

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Now, to calculate how many bacteria will remain after 7 minutes, we need to substitute it into the decay equation:

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Have a nice day!

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