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wolverine [178]
3 years ago
7

WRITE AN ALGEBRAIC EXPRESSION TO MODEL THE GIVEN CONTEXT. GIVE YOUR ANSWER IN SIMPLEST FORM. The original price  of an item le

ss a discount of 20%
Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

The original price of an item less a discount of 20% is 0.8p where p is the original price

Step-by-step explanation:

Here, we want to write an algebraic expression that represents the original price of an item less a discount of 20%

Let the original price of the item be p

The meaning of the ‘less’ is that we are subtracting 20% of the price from the original price ;

So 20% of the price will be 20/100 * p = 20p/100 = p/5 = 0.2p

So let’s take this away from the original price p

That will be;

p - 0.2p = p(1-0.2) = 0.8p

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A polyhedron with one pentagonal base is a
alekssr [168]
I think it is an apex
3 0
3 years ago
When will the equation p(b)=520(0.88)^b have a value less than 100?
yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

         or, 0.88^{b} < \frac{1}{5.2}

         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

         or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

3 0
3 years ago
X²-10x+25=0 quadratic equation by factoring​
lisov135 [29]

Answer:

x = 5

Step-by-step explanation:

{x}^{2}  - 10x + 25 = 0 \\  {x}^{2}  - 5x - 5x + 25 = 0 \\ x(x  -  5) - 5(x - 5) = 0 \\ (x - 5)(x - 5) = 0 \\ ( x- 5) = 0 \: or \: (x - 5) = 0 \\ x = 5 \: or \: x = 5 \\ x = 5

4 0
3 years ago
The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa
SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

y = 0

5 0
3 years ago
HELPPPP
fredd [130]

Not sure if this is correct but:

Step-by-step explanation: P = 2000

                                             R = 5% = 0.05

                                             n = 4

                                      y = 2000 ( 1 + \frac{0.05}{4}) ^{4t} = 2000 ( 1.0125 )

                                       Substitute values in the compound interest formula:

                                        y = P ( 1 + \frac{r}{n})^{nt} .

Hope this helps..                  

6 0
3 years ago
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