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aleksandr82 [10.1K]
3 years ago
15

Estimate the limit. Picture provided below.

Mathematics
2 answers:
Sedaia [141]3 years ago
5 0

Answer:

Choice d is correct.

Step-by-step explanation:

We have the given function :

\lim_{x \to \6} x-3/x^{2} -9

We have to find the limit.

First, simplify the denominator of function.

x²-9 = (x-3)(x+3)

Put this simplification in the function we get,

\lim_{x \to \6} x-3/(x-3)(x+3)

finally we simplify the function we get,

\lim_{x \to \6} 1/x+3

Apply the limit to the function we get,

\lim_{x \to \6} 1/x+3 = 1/9 = 0.1111111

Choice d is correct.

Over [174]3 years ago
3 0

Answer:

Step-by-step explanation:

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Your company has just taken out a 1-year installment loan for $72,500 at a nominal rate of 20.0% but with equal end-of-month pay
Mariulka [41]

Answer:

100% of the 2nd monthly payment go toward the repayment of principal.

Step-by-step explanation:

The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means <em>non-compounding </em>rate. Simply put will be a "<em>one-time charged" </em>rate on the loan. Since this is given as 20% of the Principal. It is calculated thus: \frac{20}{100} × \frac{72,500}{1}= $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e \frac{87000}{12} = $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal

3 0
3 years ago
Which choice correctly expresses the number below in scientific notation?
nikklg [1K]

Answer:

Step-by-step explanation:

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6 0
3 years ago
The edges of a box are 4 cm, 6 cm and 8 cm. Find the length
qaws [65]

Answer:

Largest Face: 90 degree angle

Step-by-step explanation:

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2 years ago
PLS PLS HELP, I DONT WANT TO FAIL!!
Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

<u>Given quadratic functions</u>:

\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}

To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}

<u>Factor</u> the quadratic:

\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}

Apply the <u>zero-product property</u> to solve for x:

\implies (x-1)=0 \implies x=1

\implies (x-2)=0 \implies x=2

Therefore, the balloons collided at 1 second and 2 seconds.  

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

f(1)=-6(1)^2 +23(1)+5=22

f(2)=-6(2)^2 +23(2)+5=27

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0
1 year ago
Read 2 more answers
Solve the proportion 20/3=?/6
Zepler [3.9K]
It equals 40/6. I hope this helps. Good luck!
7 0
3 years ago
Read 2 more answers
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