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Leya [2.2K]
3 years ago
11

Use the continuous compound interest formula to find the indicated value. A=90,000; P=65,452; r=9.1%; t=? t=years (Do not round

until the final answer. Then round to two decimal places as​ needed.)
Mathematics
1 answer:
Inga [223]3 years ago
3 0
Using continuous compounding, we have:
90000=65452 x e^.091t
1.3750534743017784024934303000672=e^.091t
ln 1.3750534743017784024934303000672=ln e^.091t=.091t ln e=0.091t
t=3.5 years


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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

C=(\frac{8-2}{2},\frac{-2+6}{2})

C=(3,2)

step 3

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The equation of the circle in center radius form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

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<h3>I'll teach you how to solve 5k^3-8-4k^2+5k^2-2+3k^3</h3>

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5k^3-8-4k^2+5k^2-2+3k^3

Group like terms:

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Add similar elements:

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