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4 years ago

Don opened a checking account. Let F represent the

Mathematics

1 answer:

Law Incorporation [45]4 years ago

6 0

Answer:

B and E

Step-by-step explanation:

In the function f(m)= -50m+300

-50 is the gradient meaning it is the rate of change per month. This means that the rate of change is -50 since this is the coefficient of m.

Also, -50m must be negative since m represents a month and you cant have negative months, so you know that the amount of money is decreasing

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Solve the above que no. 55

aleksandr82 [10.1K]

Answer:

Let $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ , we proceed to prove the trigonometric expression by trigonometric identity:

1) $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ Given

2) $\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)$ $\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}$

3) $\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)$

4) $\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)$ $\sin^{2}A+\cos^{2}A = 1$

5) $\frac{1}{\sin^{2}A\cdot \cos^{2}A}$

6) $\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}$ $\sin^{2}A+\cos^{2}A = 1$

7) $\frac{1}{\sin^{2}A-\sin^{4}A}$ Result

Step-by-step explanation:

Let $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ , we proceed to prove the trigonometric expression by trigonometric identity:

1) $\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)$ Given

2) $\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)$ $\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}$

3) $\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)$

4) $\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)$ $\sin^{2}A+\cos^{2}A = 1$

5) $\frac{1}{\sin^{2}A\cdot \cos^{2}A}$

6) $\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}$ $\sin^{2}A+\cos^{2}A = 1$

7) $\frac{1}{\sin^{2}A-\sin^{4}A}$ Result

4 0

3 years ago

Find the measure of the indicated angle. Please can you help? I need to show work.

777dan777 [17]

Answer:

64°

Step-by-step explanation:

∠RQP = 46°

∠PRQ = 180° - 110° = 70°

∠PRQ + ∠RQP + ∠RPQ = 180°

70° + 46 + ∠RPQ = 180°

116° + ∠RPQ = 180°

Find ∠RPQ

∠RPQ = 180° - 116° = 64°

4 0

3 years ago

What is the slope of the line shown below?

Alexxx [7]

Answer:

Step-by-step explanation:

m = (-7 - 6 ) / (-5 - 1)

m = -13 / -6

m = 13/6

4 0

3 years ago

What is the point slope form of 5,35 and 6,42

Elanso [62]

Answer:

7/1

Step-by-step explanation:

Assuming the numbers given are points (5, 35) & (6, 42).

Remember to use the point-slope formula: (y₂ - y₁)/(x₂ - x₁) = slope

First, set the equation:

Note that this time: (5, 35) = (x₁ , y₁)

(6, 42) =(x₂ , y₂)

Set the equation: (y₂ - y₁)/(x₂ - x₁)

(42 - 35)/(6 - 5)

Simplify: (7)/(1)

7/1 = 7

slope form is 7/1

8 0

4 years ago

If you can exchange 104. 51 US dollars for 1,322. 14 Mexican pesos, what is the exchange rate of the US dollar to the Mexican pe

Reika [66]

Answer:

Step-by-step explanation:

1322.14 / 104.51 = 12.65

1:12.65

5 0

3 years ago