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Anna11 [10]
3 years ago
11

In the coin value formula, V(t)= P(1+r)^t, which parts form the base of the exponential function? Which parts from the constant,

or initial value? Which parts form the exponent?
Mathematics
2 answers:
aivan3 [116]3 years ago
8 0

Answer:

1+r is the base

P is the initial

t is the exponent

Step-by-step explanation:

The base of an exponential function is the factor that contains the variable exponent. Here that would be 1+r.

The initial value is when t=0 or whatever is in front of the exponential part. I'm saying P is your initial but if you aren't convinced with that... Just plug in 0 for t like so:

V(0)=P(1+r)^0

V(0)=P\cdot 1  *anything to 0 power is 1 (except 0^0)

V(0)=P

P is the initial amount.

The exponent is the the variable expression superscript on the repeated factor.  So t is the exponent.

Alexxx [7]3 years ago
4 0

Answer:

Step-by-step explanation:

The base of the exponential function is 1 + r.

The initial value is P.

The exponent is t.

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Solve the system of equations. y = x − 5 and y = x2 − 5x + 3 A. (-4,-9) and (-2,-7) B. (4,-9) and (2,-7) C. (4,-3) and (2,-1) D.
larisa [96]

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = x - 5 → (1)

y = x² - 5x + 3 → (2)

Substitute y = x² - 5x + 3 into (1)

x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides

x² - 6x + 8 = 0 ← in standard form

(x - 2)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

Substitute each of these values into (1) for corresponding values of y

x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )

x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )

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3 years ago
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PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN
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Forty square inches of material is available to make a cylindrical; can of tuna and water. What dimensions of the can will give
krek1111 [17]

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Step-by-step explanation:

Let us revise the rule of surface area and volume of a cylinder

  • S.A = 2π r h + 2π r²
  • V = π r² h

Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume

∵ S.A = 40 inches²

∵ S.A = 2π r h + 2π r²

∴ 2π r h + 2π r² = 40

Let us use this rule to find h in terms of r

- Subtract 2π r² from both sides

∵ 2π r h = 40 - 2 π r²

- Divide both sides by 2π r

∴ h=\frac{40-2\pi r^{2}}{2\pi r}

∴ h=\frac{40}{2\pi r}-\frac{2\pi r^{2}}{2\pi r}

∴ h=\frac{20}{\pi r}-r

∵ V = π r² h

- Substitute h by its value above

∴ V=\pi r^{2}(\frac{20}{\pi r}-r)

∴ V = 20 r - π r³

To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r

∵ \frac{dV}{dr} = 20 - 3π r²

∵ \frac{dV}{dr} = 0

∴ 20 - 3π r² = 0

- Add 3π r² to both sides

∴ 20 = 3π r²

- Divide both sides by 3π

∴ r² = 2.122

- Take √ for both sides

∴ r = 1.457 inches

To find h substitute the value of r in the expression of h

∵ h=\frac{20}{\pi r}-r

∴ h=\frac{20}{\pi (1.457)}-(1.457)

∴ h = 2.913 inches

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Learn more:

You can learn more about volume of solids in brainly.com/question/6443737

#LearnwithBrainly

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