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Marat540 [252]
2 years ago
13

A car mechanic borrow $7000 for 12 months at 13% interest rate the monthly payments are $817.43 what is the total amount includi

ng interest (repayment), that the mechanic paid for loan
Mathematics
1 answer:
hoa [83]2 years ago
3 0
It is 90,0000000000000000000000
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For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant
nirvana33 [79]

Answer:

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of y with respect to x over the interval by definition of secant line:

r = \frac{y(b) -y(a)}{b-a} (1)

Where:

a, b - Lower and upper bounds of the interval.

y(a), y(b) - Function exaluated at lower and upper bounds of the interval.

If we know that y = 3\cdot x^{2}, a = 3 and b = 6, then the average rate of change of y with respect to x over the interval is:

r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}

r = 27

The average rate of change of y with respect to x over the interval [3,6] is 27.

b) The instantaneous rate of change can be determined by the following definition:

y' =  \lim_{h \to 0}\frac{y(x+h)-y(x)}{h} (2)

Where:

h - Change rate.

y(x), y(x+h) - Function evaluated at x and x+h.

If we know that x = 3 and y = 3\cdot x^{2}, then the instantaneous rate of change of y with respect to x is:

y' =  \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}

y' =  3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}

y' = 3\cdot  \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}

y' = 6\cdot  \lim_{h \to 0} x +3\cdot  \lim_{h \to 0} h

y' = 6\cdot x

y' = 6\cdot (3)

y' = 18

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

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2 years ago
Assume a standard deck of 52 cards is being used. Find the possible way 2 black cards can be chose
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We know there are 4 suites the deck can be divided into, and two of the 4 are black. So you divide 2/4, and get 1/2. So the probability that a black card will be chosen is 1/2.

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2 years ago
List this from least to greatest:<br><br> .5, 3/16, .75, 5.48
pashok25 [27]
List this from least to greatest:.5, 3/16, .75, 5.48

3/16 = 0.1875

so  from least to greatest

3/16, .5, .75, 5.48
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5x+14=k for x <br> Solve this problem
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I think it's ×=2.5 or it's x=1 or it's x= 19
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