3 years ago

What is does consecutive integers to complete the inequality

1 answer:

4 0

Answer:wo consecutive integers would be 13 and 14 because 13 x 13 = 169 and 14 x 14 = 196 and the inequality fits inbetween perfectly.

Step-by-step explanation:

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3 years ago

$3000 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to triple. (A

arsen [322]

Answer:

$36.62\ years$

Step-by-step explanation:

The value of r is the question is

r=0.03

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$3,000\\A=\$9,000\\r=0.03$

substitute in the formula above

$9,000=3,000(e)^{0.03t}$

solve for t

$3=(e)^{0.03t}$

Apply ln both sides

$ln(3)=ln[(e)^{0.03t}]$

Apply property of logarithms

$ln(3)=(0.03t)ln[(e)]$

Remember that

$ln(e)=1$

$ln(3)=(0.03t)$

$t=ln(3)/(0.03)=36.62\ years$

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3 years ago