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3 years ago

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$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to doub

le

1 answer:

natulia [17]3 years ago

3 0

Answer:

The formula you'll need is:

Years = ln (total / principal) / rate

ln means natural log

Years = ln (2,000 / 1,000) / .045

Years = ln (2) / .045

Years = 0.69314718056 / .045

Years = 15.4033

Step-by-step explanation:

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For his yearly vacation, Colton plans to spend $350 on train tickets, $200 on food, $150 on accommodations, and $50 on miscellan

scoundrel [369]

Answer: He would spend 750$ on the entire vacation.

Step-by-step explanation: Simple addition, 350+150 (Always do the two odd ones first) which equals 500, 500+200 equals 700, and 700+50 equals 750, which gives your answer of 750$'s for the whole vacation.

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3 years ago

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Write an expression that represents the sum of 7 and x. Please help :)<br><br><br>Thanks!

eduard

Answer:

the sum of 7 is 7

Step-by-step explanation:

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4 years ago

Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

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3 years ago

78 davided by 21 what is the anerw

ira [324]

Answer:

Step-by-step explanation:

3.714285714285714‬

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3 years ago

Factor (x) into linear factors given that k is a zero of f(x)

Lady bird [3.3K]

Answer:

Factored form (linear): (4x+3)(x-3)(x-5)

Step-by-step explanation:

Using long division and factoring, we can find the answer. Since the root/zero of <em>5 </em>is given already, we can change this into a factor of <em>(x - 5)</em><em> </em>as 5 is a root.

Step 1: Long division. Divide f(x) by (x-5)

Once you do long division, you should have left over (x-5)(4x²+9x-9)

Step 2: Factor the quadratic

Since you can't do gcf, you have to leave the 4x as a factor. Once you factor out the quadratic, you should get the answer:

(x-5)(4x+3)(x-3)

Step 3: Rearrange (Optional)

(4x+3)(x-3)(x-5)

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3 years ago