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2 years ago

The sum of 4 and a number is -11

Mathematics

1 answer:

sergey [27]2 years ago

7 0

Answer: -15

Step-by-step explanation:

Let the unknown number be 'x'

Using the statement we can form the equation:

4 + x = -11

Now, solve the above equation to get :

4 + x = -11

x = -11 -4

x = -15

The number is -15. To check our answer, substitute for x :

4 + (-15) = -11

4 - 15 = -11

The above equation is correct. Therefore, the number is -15.

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kozerog [31]

The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

$PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)$

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

$50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\ \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\ \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\ \\ \therefore P= \frac{50,000}{81.770994} =\$611.46$

Therefore, her monthly payment is about $611.50
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3 years ago

Is (7,4) a solution to this system of inequalities?<br> x ≥ 6<br> x + 16y > 9

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Step-by-step explanation:

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1 year ago

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Georgia [21]

Answer:

Step-by-step explanation:

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2 years ago

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Arte-miy333 [17]

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Step-by-step explanation:

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