3 years ago

Answer choice for math

Mathematics

1 answer:

tresset_1 [31]3 years ago

4 0

Answer:

It's B

Step-by-step explanation:

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Mr Jones has 20,000 to invest. He invests part at 6% and part at 7%, if hr earns 1,280 in interest after 1 year, how much did he

MariettaO [177]

Let x be the amount he invests at 6%

1280 = 0.06x + 0.07(20000 - x)
1280 = 0.06x + 1400 - 0.07x
1280 - 1400 = -0.01x
-120 / -0.01 = x
x = 12000

Therefore, he invests $12,000 at 6% and $8,000 at 7%

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A cell phone tower casts a shadow 15 feet long at the same time that a 100-foot building casts a shadow 60 feet long. How tall i

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27 feet tall

Step-by-step explanation:

100/60

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3 years ago

Evaluate (mn)(x) for x=-3.

kolezko [41]

Answer:

Step-by-step explanation:

the first one is 9

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3 years ago

Read 2 more answers

Use the definition mtan=lim

Leokris [45]

(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:

$\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h$

Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that

$m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x$

and so the slope of the line at P (0, 9), for which we take x = 0, is 0.

(b) The equation of the tangent line is then y = 9.

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3 years ago