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Arlecino [84]
3 years ago
13

How much money, invested at an interest rate of r % per year compounded continuously, will amount to A dollars after t years? (R

ound your answer to the nearest cent.)
A = 17,000, r = 4.3, t = 3
Mathematics
1 answer:
Talja [164]3 years ago
6 0
A=A(1+r/100)^t
a=17000(1+.043)^3
a=19.288.65
a is your money after 3 years
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Express , twelve times a number minus six is less than or equal to
xenn [34]

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18    Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12  Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

3 0
3 years ago
A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches.
Len [333]

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2  inches

Now from r/R=h/H

we have to  write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2

5 dr/dt=5*-2

dr/dt=-2

Volume of cone is 1/3 πr^{2} h

We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.

Thus

dv/dt=1/3 π(2rh*dr/dt)+(r^{2}*dh/dt)

Putting the values which are given and calculated we get

dv/dt=1/3π(2*2*2*2)+(4*2)

=1/3*3.14*(16+8)

=3.14*24/3.14

=24 inches per second

Hence the rate at which the water is drained from the container is 24 inches per second.

Learn more about differentaiation at brainly.com/question/954654

#SPJ4

5 0
2 years ago
#3022 geometry question
iragen [17]
1) is ABC and XYZ
2) is ABC and RQP I’m not sure about this one though
3 0
3 years ago
Es el promedio de todos los datos.
mixas84 [53]

Answer:

necesitas una foto para que yo te ayuda

Step-by-step explanation:

7 0
3 years ago
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the re
mina [271]

Answer:

Step-by-step explanation:

integrate with respect to x

Area is symmetric so will be twice the integral from zero to 1

( I cannot seem to figure out how to make the lower limit negative in this editor)

A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx)

A = 2\int\limits^1_0 {-3x^2 + 3} \, dx

A = 6\int\limits^1_0 {-x^2 + 1} \, dx

A = 6(-⅓x³ + x)\left \| {{x=1} \atop {x=0}} \right.

A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))

A = 6(⅔)

A = 4 units²

7 0
2 years ago
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