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Liula [17]
3 years ago
8

DifferentiationPlease help me! ​

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

\frac{dy}{dx}  =  - 1 \frac{5}{9}

Step-by-step explanation:

Please see the attached picture for the full solution.

☆ \frac{1}{x}  = x^{ - 1}

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You believe in the power of compounding and decide to save $1 per day by avoiding the purchase of a soda. You deposit the $1 at
Fiesta28 [93]

Answer:

option (c) $18,032

Step-by-step explanation:

Data provided in the question;

Amount deposited at the end of each day = $1

Interest paid = 8% compounded daily = 0.08

Daily interest rate = \frac{\textup{0.08}}{\textup{365}}  =  0.000219

Duration = 20 years = 20 × 365 days = 7300 days

Now,

the Future value is given as:

Future value = Part payment × \frac{(1+r)^n-1}{r}

here, r is the interest rate

n is the duration

thus,

Future value = $1 × \frac{(1+0.0002192)^{7300}-1}{0.0002192}

or

Future value = $18033.56 ≈ $18,032

Hence, the correct answer is option (c) $18,032

7 0
3 years ago
Louisa biked 50 4/5 miles in 4 hours. How many miles did she bike per hour?
tatiyna
Divide 50 4/5 by 4
254/5
divide the top by 4
254/4
63.5/5

(12.7 miles per hour)
7 0
3 years ago
Read 2 more answers
Cassie drives 165 miles in 3 hour what is this as a unit rate
mash [69]

Hi,

165 miles ... 3 hours

x miles  ......  1 hour.

x = 165·1/3 = 55 miles/hour.

Unit rate is 55 miles/hour.

Green eyes.

7 0
4 years ago
Which system of inequalities is shown in the graph?
Vera_Pavlovna [14]

Answer:

Option C.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through the points (1,0) and (0,-2). So, the equation of line is

y-0=\frac{-2-0}{0-1}(x-1)

y=2(x-1)

y=2x-2

It is a solid line and the shaded region lies below the line, so the sign of inequality must be "≤".

First inequality is y\leq 2x-2.

The parabola intersect the x-axis at 0 and 3, so the equation of of parabola is

y=(x-0)(x-3)

y=x(x-3)

y=x^2-3x

It is a solid curve and the shaded region lies above the curve, so the sign of inequality must be "≥".

Second inequality is y\geq x^2-3x.

Therefore, the correct option is C.

8 0
4 years ago
Read 2 more answers
Could someone please explain to me how to determine the answer to this question?
Roman55 [17]

Factor both numbers down, take all the prime numbers from the factorized 21 and 12 and multiply them

2*2 x 3 x 7

4 0
3 years ago
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