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3 years ago

Can you answer this please ?

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

4 0

Answer: 91

Step-by-step explanation:

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Margo borrows $2000, agreeing to pay it back with 7% annual interest after 17 months. How much interest

julia-pushkina [17]

Answer:

1000

Step-by-step explanation:

bc i dont know thats why hope it helped

7 0

3 years ago

Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an

Mashutka [201]

Answer:

$\sqrt\frac{387}{20}$

Step-by-step explanation:

$Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx$

$y=\dfrac{3}{5}x^{\frac{5}{3}}- \dfrac{3}{4}x^{\frac{1}{3}}+6$

$\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}$

$1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})$

$=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}$

For the Interval $1\leq x\leq 8$

Length of the Curve $=\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\$

Using T1-Calculator

$=\sqrt\frac{387}{20}$

3 0

3 years ago

A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of t

WITCHER [35]

The airplane reaches its maximum height of 81 feet in 12 seconds.

<h3>Behavior of curves</h3>

If y = $x^{2}$ , it means that the second derivate is 2 which is positive, then there is a minimum turning point.

If y = - $x^{2}$ , it means that the second derivative will be -2 which is negative, then there is a maximum turning point.

Analysis:

h(t) = - $(t - 12)^{2}$ + 81

By expanding,

h(t) = -( $t^{2}$ - 24t + 144) +81

h(t) = - $t^{2}$ + 24t - 144 + 81

h(t) = - $t^{2}$ + 24t - 63

at turning point d/dt(h(t)) = 0

d/dt (h(t)) = -2t +24

-2t +24 = 0

if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.

2t = 24

t = 12 seconds

h(t) at t = 12

h(t) = $-(12)^{2}$ + 24(12) - 63 = 81 feet

In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.

Learn more about minimum and maximum points: brainly.com/question/14993153

#SPJ1

7 0

2 years ago

Simplify 3/8 and 9/64<br><br> PLEASE HELP

Andrew [12]

Answer:

3/8 simplified is still 3/8 (0.375 in decimal form)

9/64 simplified is also still 9/64 (0.140625 in decimal form)

Step-by-step explanation:

5 0

3 years ago

A bird 7 feet in the air flies down to the ground.What integer would you use to represent the change in the bird's position?

Semmy [17]

When going down on a Cartesian coordinate system, you are moving in the negative direction, so-7

5 0

3 years ago

Read 2 more answers