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Ilia_Sergeevich [38]

3 years ago

10

What is the formula for finding the final balance of an account that earns interest compounded annually? State what each variabl

e in the formula represents.

1 answer:

Schach [20]3 years ago

5 0

C=P[(1+r)^n-1]
C = COMPOUND INTEREST
P = PRINCIPAL
r = rate per period
n = number of periods

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Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap

pogonyaev

Answer:

Rate of increase in height = $\frac{dh}{dt}=0.3156ft/min$

Step-by-step explanation:

we know that volume of a cone is given by

$V=\frac{1}{12}\pi d^{2}h$

It is Given that diameter equals height thus we have

$V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}$

Differentiating both sides with respect to time we get

$\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})$

Applying values and solving for $\frac{dh}{dt}$ we get

$\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min$

8 0

2 years ago

In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____

VladimirAG [237]

From the question, we know that we will be looking at <3, <4, and angles TKL and TLK. That being said, since <3 is congruent to <4, that means that angles TKL and TLK, which are each supplementary to either angle 3 or 4, are congruent because, since angles 3 and 4 are congruent, they are congruent because the supplements of congruent angles are congruent.

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2 years ago

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Find the measure of X<br> Find the measure of PS and QR

AveGali [126]

Answer: x=4. PS=QR=15

Step-by-step explanation:

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2 years ago

What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 −

Anna007 [38]

Answer:

b.

Step-by-step explanation:

We have to look at sign changes in f(x) to determine the possible positive real roots.

$f(x)=-3x^4-5x^3-x^2-8x+4$

There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.

Now we have to look at sign changes in f(-x) to determine the possible negative real roots.

$f(-x)=-3x^4+5x^3-x^2+8x+4$

There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:

1 positive

3 or 1 negative

We need to pair them up now with all the possible combinations.

If we have 1 positive and 1 negative, we have to have 2 imaginary

If we have 1 positive and 3 negative, we have to have 0 imaginary

Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.

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2 years ago

What is $2.47 as a precent out of 100

svetlana [45]

24.7/100 yer welcome

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2 years ago