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3 years ago

Help me please with this Simplify. 5a-12a

1 answer:

4 0

It helps to imagine the variable a sort of as a unit. Like with 5 minus 12 lemons, it has no bearings on the addition/subtraction here.

Factor out a and subtract.

$5a-12a \\ (5-12)a \\ \boxed{-7a}$

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A 2-digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the o

kramer

Answer:

I think the answer is 43

8 0

2 years ago

A principal amount of $4,700 is deposited into an account paying interest at a rate of 3%, continuously compounded. What will be

Ronch [10]

The account balance after 3 years if the interest is compounded continuously is $5,142.62

<h3>How to find compound interest?</h3>

Principal, P = $4,700
Time,t = 3 years
Interest rate, r = 3%

r = 3/100

r = 0.03 rate per year,

A = Pe^rt

A = 4,700.00(2.71828)^(0.03)(3)

= 12,775.916^0.09

A = $5,142.62

Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62

Learn more about compound interest:

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2 years ago

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

1 year ago

Select the equation that represents the problem let x represent the unknown number

djyliett [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The amount of an invoice is $1000, with terms 2/10, n45. The amount to be paid within the discount period is:

just olya [345]

Answer:The amount to be paid within the discount period is $980

Step-by-step explanation:

The term 2/10, n45

means that 2% discount is offered if the amount of invoice is paid within 10 days from the date of invoice .

n/45 means that the buyer will pay the full amount within 45 days if he /she does not pay within the discount period of 10 days .

Now if the amount is to be paid within the discount period, the amount will be

Amount to be paid= $1000- 2% of 1000

= $1000-20

=$980

6 0

3 years ago