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nadezda [96]
3 years ago
10

1.08t can be written as (1.081/12)12t to give the approximate equivalent monthly interest rate based on an annual rate of 8%. Us

e the properties of exponents to transform the expression into a single exponent expression
Mathematics
2 answers:
viktelen [127]3 years ago
8 0

Answer:

(1.006)^12t

Step-by-step explanation:

I just did it on UsaTestPrep.

(1.08^1/12)^12t ≈ (1.006)^12t

Hope this helps!

kobusy [5.1K]3 years ago
6 0
<span>Because <span>t <span>is given in years and 1.08 <span>= <span>1 <span>+ <span>0.08, the annual percent increase
<span>is 8%.
To find the monthly percent increase that gives an 8% annual increase,
<span>use the fact that
t = \frac{1}{12} * 12 t<span><span><span><span>
<span><span><span><span>and the properties of exponents to rewrite the
model in a form that reveals the monthly growth rate.</span></span></span>
</span></span></span></span></span></span></span></span></span></span></span></span></span></span>
1.08^{t} &#10;= 1.08^{(1/12)(12t)} &#10;= (1.08^{1/12}) ^{12t} &#10;=  1.0064634^{12t}
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Answer:

3

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6 0
3 years ago
Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work
aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

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Equation of line is y=(12/5)x+2

7 0
3 years ago
The height, h, of the equilateral triangle is given by h =5cotΘ, where Θ is 30 degrees. Can someone help me with this? I don't u
Hoochie [10]

You don't even need the picture to solve this one.

You said that      h = 5 cot(Θ) ,    and you said that  Θ  is 30 degrees.
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To find the cotangent of 30 degrees, you can use a calculator, look it up
in a book, read it off of a slide rule if you have one, draw a picture of a
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Apparently, somebody gave you the equation, and asked you to find 'h'.
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5 0
3 years ago
152. divided by 190.
Katena32 [7]
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8 0
3 years ago
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crimeas [40]
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7 0
3 years ago
Read 2 more answers
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