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3 years ago

1Make p the subject in the formula A = P(1 + r)"

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

Answer:

Divide the whole equation by (1 + r)ⁿ to get P = A/(1 + r)ⁿ.

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The minimum value of f(x) = x3 – 3x2 – 9x + 2 on the interval [–4, 0] is

garri49 [273]

Answer:

-74

Step-by-step explanation:

Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.

Substitute x = -4 into the equation.

f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2

f(-4) = -64 -3(16) +36 + 2

f(-4) = -64 - 48 + 36 + 2

f(-4) = -74

5 0

3 years ago

URGENT ANSWER NOW In △ABC, A=59∘, a=20, and c=21. What are the two possible values for angle C to the nearest tenth of a degree?

PilotLPTM [1.2K]

Answer:

The two possible values of C are 64.2° and 115.8°

Step-by-step explanation:

* In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A

# b is opposite to angle B

# c is opposite to angle C

- m∠A = 59°

- a = 20

- c = 21

* To find the distance m∠C we can use the sin Rule

- In any triangle the ratio between the length of each side

to the measure of each opposite angle are equal

- c/sinC = a/sinA = b/sinB

* Lets use it to find the m∠C

∵ 21/sinC = 20/sin(59)

∴ sin(C) = 21 × sin(59) ÷ 20 = 0.9000256657

∴ m∠C = sin^-1(0.9000256657) = 64.16144°

∴ m∠C = 64.2°

∵ The value of sin(C) is positive

∴ Angle C may be in the first quadrant (acute angle)

or in the second quadrant (obtuse angle)

∴ The other measure of ∠C = 180 - 64.2 = 115.8

* The two possible values of C are 64.2° and 115.8°

6 0

3 years ago

How is the counting principle mathematically used?

Paha777 [63]

Answer: multiplying outcomes

Step-by-step explanation:

5 0

3 years ago

Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of

gayaneshka [121]

Answer:

Step-by-step explanation:

Set up the equation

z = $\frac{kx^2}{y}$

Plug in the numbers to find the value of k

3 = $\frac{k(2^2)}{4}$

12 = 4k

3 = k

Solve to find the value of z

z = $\frac{3(4^2)}{9}$

z = $\frac{3(16)}{9}$

z = 48/9

z = 16/3

8 0

3 years ago

What is the inverse of x^2-4x+5

lisabon 2012 [21]

we are given

$f(x)=x^2-4x+5$

Since, we have to find inverse of this function

step-1: we set f(x)=y

$y=x^2-4x+5$

step-2: switch x and y

$x=y^2-4y+5$

step-3: Solve for y

$y^2-4y+(5-x)=0$

now, we can use quadratic formula

$y=\frac{4+\sqrt{4^2-4(5-x)} }{2}$

$f^{-1}(x)=\sqrt{x-1}+2$

$f^{-1}(x)=-\sqrt{x-1}+2$ ..............Answer

6 0

3 years ago

1Make p the subject in the formula A = P(1 + r)"​

1Make p the subject in the formula A = P(1 + r)"