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jok3333 [9.3K]
3 years ago
12

Thomas invests $50,000 in an account that compounds interest continuously and earns 15%. How long will it take for his money to

triple? Round to the nearest tenth of a year.
Mathematics
2 answers:
Blizzard [7]3 years ago
8 0

Answer:

7.3 years

Step-by-step explanation:

WARRIOR [948]3 years ago
4 0

Answer:

It will take about 7.3 years for his money to triple.

Step-by-step explanation:

Identify the variables in the formula.

A = 150,000

P = 50,000

r = 0.15

t = ?

A = Pe^rt

Substitute the values into the formula.

150,000 = 50,000e^0.15*t

Solve for t. Divide each side by 50,000.

3 = e^0.15*t

Take the natural log of each side.

ln 3 = ln e^0.15*t

Use the power property and then simplify.  

ln 3 = 0.15*t ln e

ln 3 = 0.15-t

Divide each side by 0.15.

(ln 3) /(0.15) = t

Approximate the answer.

t ≈ 7.3

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15 is 9 more than j.
Zina [86]

Answer:

j = 6

Step-by-step explanation:

"Is" typically means equals. "More than" means it is added to.

So 15 equals j with 9 added to it.

15 = 9 + j

Now solve for j by subtracting 9 from both sides.

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7 0
4 years ago
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50:33
zysi [14]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷  In triangles, the longest length would be the hypotenuse.

The rule for Pythagoras states that a^2 + b^2 = c^2

[where c is the hypotenuse]

Therefore, the correct option would be

"No, Ariel should have added 9^2 and 12^2 and compared that to 15^2.

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4 0
3 years ago
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-7(y+2x)-3(y-x) please expand and then simplify the expression.
Schach [20]

Answer:

-10y - 11x

Step-by-step explanation:

First you need to distribute -7 through the parentheses.

-7y - 14x - 3y + 3x

then you need to collect the like terms (terms with the same variable)

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7 0
4 years ago
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Please help!!!! will mark brainlest
fomenos

Answer: B. 84 in²

Step-by-step explanation:

Divide the area into two regions: a rectangle and a trapezoid (depicted in the attached photo).

Find the area of the rectangle:

Area of a rectangle=length*width

Area of rectangle=(5 in)( 10 in)

Area of rectangle=50 in²

Next, calculate the area of the trapezoid:

Area of trapezoid=\frac{h(b_{1} +b_{2}) }{2}

h=10 in-6 in

h=4 in

b_{1} =15 in

b_{2} =15 in-5 in

b_{2} =10 in

Area of trapezoid=\frac{4in(7 in+10in)}{2}

Area of trapezoid=\frac{4(17in^{2})  }{2}

Area of trapezoid=\frac{68in^{2} }{2}

Area of trapezoid=34in^{2}

Add the area of the trapezoid to the area of the rectangle to find the total area: 50 in²+34 in²=84 in²

3 0
3 years ago
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