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2 years ago

9

$3000 are invested in a bank account at an interest rate of 7 percent per year. Find the amount in the bank after 15 years of in

terest is compounded continuously

1 answer:

goldfiish [28.3K]2 years ago

6 0

Answer:

45001.05

Step-by-step explanation:

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Find the volume of the composite solid. Round your answer to the nearest hundredth.

zaharov [31]

Answer:

Volume of solid = 737 cm³ (Approx)

Step-by-step explanation:

Given:

Radius r = 4 cm

Length of cylinder = 12 cm

Find:

Volume of solid

Computation:

Volume of solid = Volume of hemisphere + Volume of cylinder

Volume of solid = (2/3)πr³ + πr²h

Volume of solid = (2/3)π(4)³ + π(4)²(12)

Volume of solid = 134 + 603

Volume of solid = 737 cm³ (Approx)

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3 years ago

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2 years ago

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3 years ago

Jude factored 28x2 as (14x)(2x²).

Yuri [45]

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Step-by-step explanation:

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3 years ago

Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35

Cerrena [4.2K]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation.<span> A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. </span><span>Whatever we do to one side, has to be done on the opposite side.</span>

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$   <span> $Subtract \ 2 \ from \ both \ sides$
</span>
$4p=1$

$p= \dfrac{1}{4}$   <span> $Divide \ both \ sides \ by \ 4$
</span>
$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$    $Simplify \ brackets$

$-4p=3+2$ <span> $Add \ 2 \ to \ both \ sides$
</span>
$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

8 0

3 years ago