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3 years ago

11

Consider a 15-year mortgage at an interest rate of 8% compounded monthly. The amount to be mortgaged is $130,000. After the firs

t month's payment, what is the new outstanding principal?

1 answer:

MrMuchimi3 years ago

3 0

The answer is <span>$129,624.32</span>

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Katrina drinks 0.5 gallons of water per say. Which expression shows how to find the number of cups of water she drinks in a week

skad [1K]

<h2>Answer:</h2><h2>0.5 gallons per day.</h2><h2>Two options only.</h2><h2>First;How many liter does the gallon have use the litre to solve for how many litres.Convert it into one unit divide and multiply the product by 0.5.</h2>

<h2>2nd option; Find the number of cups by representing it in a variable. </h2>

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3 years ago

Use the properties of logarithms to prove log, 1000 = log2 10.

Leto [7]

Given:

Consider the equation is:

$\log_81000=\log_210$

To prove:

$\log_81000=\log_210$ by using the properties of logarithms.

Solution:

We have,

$\log_81000=\log_210$

Taking left hand side (LHS), we get

$LHS=\log_81000$

$LHS=\dfrac{\log 1000}{\log 8}$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=\dfrac{\log (10)^3}{\log 2^3}$

$LHS=\dfrac{3\log 10}{3\log 2}$ $[\because \log x^n=n\log x]$

$LHS=\dfrac{\log 10}{\log 2}$

$LHS=\log_210$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=RHS$

Hence proved.

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3 years ago

The stem-and-leaf plot shows the ages of people at a family reunion.

klio [65]

Answer:

1) 11

2) 4

Step-by-step explanation:

1) It is 11 because in the first row we ignore the 0 since it is referring to the first digit, so the first row has 7. In the second row, we ignore the one so it would be 4 because the 9, or would be 19, is above 18.

2) It is 4 because there is one person over 65. In the second row we ignore the 7 and there are 3 people in the 7 row.

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3 years ago

2x-8y=6<br> y=-7- x<br> what are the coordinates

goblinko [34]

2x-8(-7-x)=6
2x+56+8x=6
10x=-50
x=-5

y=-7-(-5)
y=-2

(-5,-2)

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4 years ago

One less than twice a number is four less than its square.

IrinaK [193]

Answer:

The correct answer is 3.

8 0

3 years ago