Erin Thompson agreed to purchase a house for $97,900. Hoover Mortgage is willing to lend her

1 answer:

8 0

$2,697 is correct :)

$97,900-$8000=$89,900 because down payments are never included with the total mortgage loan.
8 percent for 30 years means there will be 8 percent interest that the bank charges on a 30 year loan that is on a fixed payment per month.
3 percent for closing costs or 0.03•$89,900=$2,697

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Given log Subscript 3 Baseline 2 almost-equals 0. 631 and log Subscript 3 Baseline 7 almost-equals 1. 771, what is log Subscript

kari74 [83]

You can use the properties of logarithm to get to the solution.

The approximate value for given term is given by

$log_3(14) \approx 2.402$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})$

<h3>Using the above properties</h3>

$log_3(2) + log_3(7) = log_3(2 \times 7) = log_3(14)\\\\0.631 + 1.771 = log_3(14)\\\\log_3(14) = 2.402$

Thus,

The approximate value for given term is given by

$log_3(14) \approx 2.402$

Learn more about logarithm here:

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The height that a properly inflated basketball bounces decreases exponentially by 27.8% with each subsequent bounce after the in

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Answer:

$H (b) = 0.722^b(6)$

Step-by-step explanation:

The first time the basketball bounces it reaches a height of $(1-0.278)(6) = (0.722) (6)$ .

The second time the basketball bounces it reaches a height of $(0.722) (0.722) (6) = [(0.722) ^ 2] (6)$ . Therefore, after b rebounds the height that the basketball will reach is given by: