Hoshi walks 10 meters in 3 seconds, at this rate, how long will it take her to walk 100 meters?

Hallamos precios justos empleando funciones cuadráticas (día 3)

lidiya [134]

Answer:

1. See below

2. F(x) = -0.10x² + 8x + 200

3. You earn the maximum income of S/320

4. The income decreases

5. x < 0; x > 100

Step-by-step explanation:

1. Strategies

Let x = the days

Then 100 - x = the kilograms of oranges each day

and 0.10x = the daily price increase

and 2 + 0.10x = the daily price

Income = (kilograms of oranges) × (price per kilogram)

F(x)= (100 - x)(2 + 0.10x)

2. Another expression for F(x)

You could multiply the factors to get a polynomial in its standard form.

$\begin{array}{rcl}F(x) & = & (100 - x)(2 + 0.10x)\\& = & 200 + 8x - 0.10x^{2}\\& = &\mathbf{ -0.10x^{2} + 8x + 200}\\\end{array}$

3. If sales are made in 20 da

$\begin{array}{rcl}F(x) & = & (100 - x)(2 + 0.10x)\\& = & (100 - 20)(2 + 0.10\times20)\\& = & 80(2 + 2.0)\\& = &80 \times 4\\&=&\textbf{S/320}\\\end{array}\\\text{Sales made on Day 20 will earn the maximum income of } \textbf{S/320}$

4. If sales are made after 40 da

(a) If sales are made on Day 40

$\begin{array}{rcl}F(x) & = & (100 - x)(2 + 0.10x)\\F(x) & = & (100 - 40)(2 + 0.10\times40)\\& = & 60(2 + 4.0)\\& = &60 \times 6\\&=&\textbf{S/360}\\\end{array}\\$

(b) If sales are made on Day 41

$\begin{array}{rcl}F(x) & = & (100 - 41)(2 + 0.10\times41)\\& = & 59(2 + 4.1)\\& = &59 \times 6.1\\&=&\textbf{S/359.90}\\\end{array}\\\text{The \textbf{income decreases} after Day 40.}$

5. Unuseful parts of the graph

(a) x <0

We can't have negative times because we received the oranges for sale only on Day 0.

(b) x > 100

1 kg of oranges is damaged each day.

After 100 da, there are no more oranges to sell.

The parts of the graph below x = 0 and above x = 100 do not contribute to resolution of the problem.

4 0

2 years ago

Lana sells lampshades for $8 each and paper lanterns for $5 each at a one-day craft fair. She sells k lampshades and (k+5) paper

DENIUS [597]

Answer:

8k + 5k + 25

Or

13k + 25

Step-by-step explanation:

Lana's total sales = 8k + 5(k+5)

Since the expressions are not given in the question;

The equivalent expression could be

= 8k + 5k + 25

Equivalent to

= 13k + 25

3 0

3 years ago

I’ve Tried solving this and i just can’t get it , 64 = 4 + 12g

Alika [10]

Answer:

5

Step-by-step explanation:

64 = 4 + 12g

64 - 4 = 12g

60 = 12g

60 / 12 = g

5 = g

g = 5

8 0

2 years ago

If DA = 6 and MD = 4, what is the length of DK?

Leto [7]

Answer:

DK = 9

Step-by-step explanation:

In triangle AMD,

h² = p² + b²

or, h² = 6² + 4²

or, h²= 36 + 16

so, h² = 52

so, AM² = 52

Take x as reference angle,

cos²x = 16/52

Now,

In triangle, AMK,

Taking x as reference angle,

cos²x = b²/h²

cos²x = AM²/MK²

or, cos²x = 52/MK²

Now,

cos²x = 16/52 = 52/MK²

or,

16/52 = 52/MK²

or, 16MK² = 2704

or, MK² = 2704/16

or, MK² = 169

so, MK = 13

Now,

DK = MK - MD

or, DK = 13 - 4

so, DK = 9

3 0

2 years ago

1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%

vlabodo [156]

The monthly payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

Principal (P): $ 295,000
Rate (r): 6.3% = 0.063
Number of times compounded (n): 12months $\times$ 15 years = 180
Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180 $\times$ 15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15 $\times$ 12)

The monthly payment on the mortgage = 2576.9 (approximately option C)

8 0

3 years ago