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3 years ago

Could someone please help??? "What is the simple interest that is missing from the table? Use the formula 1 = prt "

Mathematics

1 answer:

Ganezh [65]3 years ago

3 0

Answer:

$450.40

Step-by-step explanation:

I=(PRT)/100

I=(5630*4*2)/100=$450.40

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An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr

Tanzania [10]

Answer:

x = 0.67 cm

Step-by-step explanation:

Let call " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x and D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x) = ( 8 - 2x ) * ( 3 - 2x ) * x ⇒ V(x) = ( 24 - 16x - 6x + 4x²) * x

V(x) = 4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then V´(x) = 0 ⇒ 12x² - 44x + 24 = 0 ⇒ 3x² - 11x + 6 = 0

We got a second degree equation solving for x

x₁,₂ = [11 ± √ 121 - 72 ] / 6

x₁ = ( 11 + 7 ) / 6 x₁ = 3 we dismiss this solution since according to problem statement one side would become negative

Then

x₂ = ( 11 - 7 ) / 6 ⇒ x₂ = 4/6 ⇒ x₂ = 0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x) = 12x - 44 < 0

Sides of the box

L = 8 - 2x ⇒ L = 8 - 2*(0.67) ⇒ L = 8 - 1.34 ⇒ L = 6.66 cm

D = 3 - 2x ⇒ D = 3 - 2* (0.67) ⇒ D = 3 - 1.34 ⇒ D = 1.66 cm

Heigh = x = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0

3 years ago

!!PLEASE ONLY ANSWER IF U ACTUALLY KNOW!! GRAPHING!!

Stolb23 [73]

Answer:

-3/5 rise over run left doen arenegative right up are positive

8 0

3 years ago

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Patricia can drive 36 kilometers for every 3 liters of gas she puts in her car

Anna35 [415]

Answer:

Patricia will run 132 kilometers with 11 liters of gas.

Step-by-step explanation:

The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.

With 3 liters of gas she drives 36 kilometers.

This means in one liter of gas distance covered by the car = $\frac{36}{3}=12$ kilometers.

Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = $\frac{48}{4}=12$ kilometers

Now with 11 liters of gas distance covered by the car will be = 11×12

= 132 kilometers

Therefore, with 11 liters of gas Patricia can run 132 kilometers.

3 0

3 years ago

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Pls help me I will Brianlest

Harman [31]

Answer: 18

Step-by-step explanation:

4 0

3 years ago

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I have one dozen eggs and I discover hot only 1/3 of the broken and I need use 1/6 how many I have left

zhenek [66]

Answer:

$X=2$

Step-by-step explanation:

From the question we are told that:

Total eggs $n=12$

Broken eggs $n_b=1/3n=4$

Used eggs $n_u=1/6n=2$

Generally the equation for amount of eggs left X is mathematically given by

$12=X+n_b+n_u$

$12=X+4+2$

$X=\frac{12}{6}$

$X=2$

6 0

4 years ago