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3 years ago

Evaluate the expression if g+2, r+3, and t=11. g+6t

Mathematics

1 answer:

Ivahew [28]3 years ago

5 0

Answer:

I think you copied this wrong

Step-by-step explanation:

Most likely g = 2

Therefore (2) + 6(11)

2+66=68

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Sung Lee invests $10,000 at age 18. He hopes the investment will be worth $30,000 when he turns 25. If the interest compounds co

zalisa [80]

Answer:

r=17%

Step-by-step explanation:

P is the investment

A is the targeted amount

t= time (25-18=7 years)

A=P(1+r)^t

30000=10000(1+r)^7

(1+r)^7=30000/10000

r=\root(7)(3)-1

r=0.16993 ≅0.17= 17%

check: A=P(1+r)^t ⇒10000(1+0.17)^7=30012≅30000

3 0

3 years ago

Find dy/dx and d2y/dx2. x = cos(2t), y = cos(t), 0 < t < π

pogonyaev

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$

$y=\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=-\sin t$
$x=\cos2t\implies\dfrac{\mathrm dx}{\mathrm dt}=-2\sin2t=-4\sin t\cos t$
$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-\sin t}{-4\sin t\cos t}=\dfrac14\sec t$

Let $z=\dfrac{\mathrm dy}{\mathrm dx}$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}=\dfrac{\frac{\mathrm dz}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$
$\implies\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac{\mathrm d}{\mathrm dt}\left[\frac14\sec t\right]}{-4\sin t\cos t}=\dfrac{\frac14\sec t\tan t}{-4\sin t\cos t}=-\dfrac1{16}\sec^3t$

4 0

4 years ago

Plz help me well mark brainliest!....

hodyreva [135]

Answer

C

Explanation

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7 0

3 years ago

Help please! This has to do with the Pythagorean theorem.

Natasha2012 [34]

ANSWER

6.63

Explanation:

Equation used: c2 = a2 + b2 ( rearranged due to having the two sides )

c2 = 12^2 + 10^2

c2 = 144 - 100

c2 = 44

c2 = 6.63 ( the square root of 44 )

5 0

3 years ago

What is 5 divided by 6^3 - 0.25

Olenka [21]

Answer:

$5 \div {6}^{3} - 0.25 \\ = 5 \div (216) - (0.25) \\ = 5 \div 215.75 \\ = \frac{20}{863} \\ = 0.0232$

6 0

3 years ago