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2 years ago

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Jackson invested $320 in an account paying an interest rate of 3.2% compounded continuously. Assuming no deposits or withdrawals

are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $410?

1 answer:

AURORKA [14]2 years ago

6 0

Answer:

7.8 years

Step-by-step explanation:

kindly upvote

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Quinton bought x number of shares for p dollars and paid a 0.5% commission. He sold the stock for y dollars and paid a flat fee

Ksju [112]

Answer:

$y-(0.05xp+7)$

Step-by-step explanation:-

As per the statement:

Quinton bought x number of shares for p dollars and paid a 0.5% commission

⇒ $0.05xp$

It is also given that: He sold the stock for y dollars and paid a flat fee of $7.

⇒ $y-7$

then;

Net proceeds is given as:

$y-7-0.05xp = y-(0.05xp+7)$

Therefore, Quinton's net proceeds algebraically is $y-(0.05xp+7)$

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2 years ago

Evaluate the line integral, where c is the given curve. c y3 ds,

postnew [5]

Parameterizing $\mathcal C$ by

$\mathbf r(t)=(t^3,t)$

with $0\le t\le2$ , we have

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt$

So

$\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du$
$=\dfrac{145^{3/2}-1}{54}$

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3 years ago

-6h plus 4 - 3plus h equals 11

olga55 [171]

$- 6h + 4 - 3 + h = 11$
So we start by combining like terms;
$- 6h + h = - 5h$
$4 - 3 = 1$
Now we have;
$- 5h + 1 = 11$
We then subtract 1 from both sides;
$- 5h + 1 = 11$
$- 5h = 10$
Then we divide both sides by 5;
$- 5h = 10$
$- 5h \div - 5h = h$
$10 \div - 5h = - 2$
Leaving the final answer to be h = -2

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3 years ago

Which graph represents a linear function?

pshichka [43]

Answer:

y + 2x = 10 (third option)

Step-by-step explanation:

We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.

We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.

Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).

y = -2x + 10

If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).

This means that the third option is correct.

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2 years ago

Read 2 more answers

please help me to solve both question.....need your help....N33d your working...i swear i will mark brainliest who answer it♥♥♥

emmasim [6.3K]

Answer:

Hello. The answer is 250.

Step-by-step explanation:

The explanation takes alot of time

The two important tips are

Sum of the interior angles of triangle is 180

And for those which have 4 sides are 360

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2 years ago