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Vikentia [17]
3 years ago
12

Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? U

se the model A ( T ) = P e^rt and round to the nearest tenth of a year.
It will take approximately ____ years for the investment to grow to $10,000.
.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

7

Step-by-step explanation:

sing the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1

2  = e^0.1t

log 2  =    log e^0.1t               >     log to the base e

log 2  =  0.1t * 1              log e to the base e  =1

0.6931 = 0.1t

t =   6.931

  =    7 years

Hope this helps <3

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if you subtract 17 from my number and multiply the difference by -6 the results is -138 what is Sarah's number
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Answer:

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Step-by-step explanation:

let the unknown be y (x is used as times(multiplication) )

(y-17)x-6=-138

add /-6 to both sides

y-17x-6/-6=-138/-6

y-17=23

make y independent/add 17 to both sides

y-17+17=23+17

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or in an easier way

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2 years ago
1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 w
expeople1 [14]

Given that ABCD is a parallelogram, the sum of its interior angles is:
360°

<h3>What is a parallelogram?</h3>

A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.

<h3>What is the sum of the exterior angles of CHFE?</h3>

The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.

<h3>Which sides are parallel to CE?</h3>

The sides that are parallel to CE are:

FH

AD and

<h3>IJ.

Which side is perpendicular to CE?</h3>

The side that are perpendicular to CE is side side HH, hence we can state that:

CE ⊥ EH, because both lines intersect each other at right angles.

<h3>What is the sum of ∠C and ∠H?</h3>

Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,

∠C + ∠H? = 180° - 90°

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<h3>What is the measure of the exterior angles of a Regular Pentagon?</h3>

The measure of the exterior angles of a regular pentagon is 72°

Learn more about Parallelograms at:
brainly.com/question/970600
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