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3 years ago

2,400 principal earning 2%, compounded annually, after 7 years. Find the balance in the account

Mathematics

1 answer:

charle [14.2K]3 years ago

3 0

A = P (1 + r/n) ^nt
P = 2400
r = .02
n = 1
t = 7

Answer: $2756.86

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A point P(x,y) moves along the graph of the equation y = x3 + x2 + 2. The x-values are changing at the rate of 2 units per secon

CaHeK987 [17]

Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.

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The equation is:

$y = x^3 + x^2 + 2$

Applying implicit differentiation in function of t, we have that:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

x-values changing at a rate of 2 units per second means that $\frac{dx}{dt} = 2$
Point Q(1,4) means that $x = 1, y = 4$ .

We want to find $\frac{dy}{dt}$ , thus:

$\frac{dy}{dt} = 3x^2\frac{dx}{dt} + 2x\frac{dx}{dt}$

$\frac{dy}{dt} = 3(1)^2(2) + 2(1)(2) = 6 + 4 = 10$

y is changing at a rate of 10 units per second.

A similar problem is given at brainly.com/question/9543179

5 0

2 years ago

4 pencils and 3 crayons are 20.9 inches. 5 pencils and 4 crayons are 26.5 inches. Each pencil is the same length as the other pe

erastova [34]

Answer:

The length of the pencils is 4.1 inches and for the crayons 1.5 inches

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

let "x" be the length of the pencils

let "y" be the length of the crayons

4 * x + 3 * y = 20.9

5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5

Replacing:

4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9

21.2 - 3.2 * y + 3 * y = 20.9

-0.2 * y = 20.9 - 21.2

y = -0.3 / -0.2

y = 1.5

now for x:

x = (26.5 - 4 * 1.5) / 5

x = 4.1

This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches

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3 years ago

Jay's hair grows about 8 inches each year. Write a function that describes the length l in inches that Jay's hair will grow for

xeze [42]

Answer:

l=8k

Step-by-step explanation:

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3 years ago

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The Flip-Flop-Alot Company makes and sells flip-flops. They have one linear function that represents the cost of producing flip-

Brums [2.3K]

If we let the number of flip-flops be x in the equation and that the cost would be y ( in terms of x) and the income would be z ( in terms of x), these equations will likely intersect each other during breakeven. That is, when the total revenue that the company will gain from sales of the flip-flops just be equal with the total cost.

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3 years ago

Every 2.5 hours, a machine produces 150 baskets.

drek231 [11]

Answer:

Step-by-step explanation:

We use unit rate function,

Let h be hours

Let b be baskets

2.5h = 150b

We divide both sides by 2.5

2.5h/2.5 = 150b/2.5

Which will give us

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3 years ago