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mel-nik [20]
3 years ago
14

Carlos can print a document on an Apricot printer in 4.5 minutes. How long would it take him to print the same document on a sur

e fire printer

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

see the attached figure to better understand the problem

Step 1

<u>Find the number of pages printed  on an Apricot printer </u>

we know that

The speed of an Apricot printer is 8ppm

so

in 4.5 min

Carlos print

4.5*8=36 pages

step 2

<u>Find the time it takes Carlos to print the same amount of documents on a sure fire printer printer</u>

we know that

The speed on a sure fire printer is 12ppm

so

Divide the total of pages by the speed of the printer

36/12=3 minutes

therefore

<u>the answer is</u>

3 minutes

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$300 was deposited in a Certificate of Deposit (CD) yielding 6% interest compounded quarterly. how many years will it take the C
Ivan

The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...

... A = P(1 +r/n)^(nt)

Putting your given numbers into the formula, we have

... 876.34 = 300(1 +.06/4)^(4t)

Taking logarithms, this becomes the linear equation

... log(876.34) = log(300) + 4t·log(1.015)

Solving for t in the usual way, we get

... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right

... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t

It will take <em>18 years</em> for the $300 CD to reach a value of $876.34.

8 0
3 years ago
The midpoint of a segment is (2,-5), and one of the endpoints is (3,6). where is the other endpoint?
MatroZZZ [7]
(2, -5) is the mid point

(3, 6) is (2+1, -5+11) is an end point

therefor the other end point should be (2-1, -5-11) = (1, -16)

You could visualise this better if you draw it

Hope this helps, I don't really know a better way to explain it, sorry =P

4 0
3 years ago
Eric traveled 6 miles in 15 minutes. Find the rate of speed.
Anton [14]

Answer:2.5

Step-by-step explanation: just do 6 divided by 15 and the rate is 2.5

3 0
3 years ago
If the seed company recommends planting approximately 350 grass seeds per square meter, about how many grass seeds will he need?
Svetach [21]

Answer:

83422.5 grass seeds

Step-by-step explanation:

Applying,

A = 1/2bh....................... Equation 1

Where A = Area of the Triangle, b = base, h = height.

But, from the diagram,

tanФ = 20/b

b = 20/tanФ.................. Equation 2

Substitute equation 2 into equation 1

A = 1/2(20/tanФ)(h)................ Equation 3

Given: h = 20 m, Ф = 40°

Substitute these values into equation 3

A = 1/2(20×20)/tan40°

A = 200/tan40°

A = 238.35 m²

If the seed company recommends planting approximately 350 grass seeds per square meter,

Therefore,

Number of grass seed need = (350×238.35)

Number of grass seed needed = 83422.5 grass seeds

3 0
3 years ago
Need to find volume, step by step explanation pls <br><br><br><br>​
worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

V_1=\dfrac{2}{3}\pi r^3

Where, r is the radius of the hemisphere.

V_1=\dfrac{2}{3}(3.14)(6)^3

V_1=\dfrac{6.28}{3}(216)

V_1=452.16

Volume of cylinder is:

V_2=\pi r^2h

Where, r is the radius of the cylinder and h is the height of the cylinder.

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

We know that,

l^2=r^2+h^2                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

(10)^2=(6)^2+h^2

100-36=h^2

\sqrt{64}=h

8=h

Volume of cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where, r is the radius of the cone and h is the height of the cone.

V_3=\dfrac{1}{3}(3.14)(6)^2(8)

V_3=\dfrac{25.12}{3}(36)

V_3=301.44

Now, the volume of the combined figure is:

V=V_1+V_2+V_3

V=452.16+1356.48+301.44

V=2110.08

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0
2 years ago
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