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2 years ago

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with

Mathematics

1 answer:

Nitella [24]2 years ago

4 0

The maximum mortgage payment allowed for someone with an annual salary of $83,750 would be $2512.50 per month.

<h2><u>What is the standard 28/36 guidelines?</u></h2>

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $83,750, the following calculation must be made:

Annual salary x 36% / months = X
((83750 x 36) / 100) / 12 = X
(3,015,000 / 100) / 12 = X
30150 / 12 = X
2512.50 = X

Therefore, the maximum mortgage payment allowed for someone with an annual salary of $83,750 would be $2512.50 per month.

Learn more about maths in brainly.com/question/20589209

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A store owner determined 80% of customers bought a drink and 30% of customers bought a snack. If the store sold 120 snacks that

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2 years ago

If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)

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We can expand the logarithm of a product as a sum of logarithms:

$\log_dabc=\log_da+\log_db+\log_dc$

Then using the change of base formula, we can derive the relationship

$\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}$

This immediately tells us that

$\log_dc=\dfrac1{\log_cd}=\dfrac12$

Notice that none of $a,b,c,d$ can be equal to 1. This is because

$\log_1x=y\implies1^{\log_1x}=1^y\implies x=1$

for any choice of $y$ . This means we can safely do the following without worrying about division by 0.

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$\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23$

Similarly,

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So we end up with

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###

Another way to do this:

$\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}$

$\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}$

$\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12$

Then

$abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}$

So we have

$\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}$

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