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2 years ago

13

April took out a $600 loan from the bank . At the end of 5 years , she. Pays back the principal plus $60 simple instrest what wa

s the instrest rate ?

1 answer:

VLD [36.1K]2 years ago

4 0

Answer: 12

Step-by-step explanation: you would divide the interest by the amount of time. 60/5

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Use logarithmic differentiation to find the derivative of the function. y = x2cos x Part 1 of 4 Using properties of logarithms,

Arisa [49]

ANSWER

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

EXPLANATION

The given function is

$y = {x}^{2} \cos(x)$

We take natural log of both sides;

$ln(y) = ln({x}^{2} \cos(x) )$

Recall and use the product rule of logarithms.

$ln(AB) = ln(A ) + ln(B)$

This implies that:

$ln(y) = ln({x}^{2} ) + ln( \cos(x) )$

$ln(y) = 2 ln({x} ) + ln( \cos(x) )$

We now differentiate implicitly to obtain;

$\frac{ {y}^{'} }{y} = \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) }$

Multiply through by y,

${y}^{'} = y( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) })$

Substitute y=x²cosx to obtain;

${y}^{'} = {x}^{2} \cos(x) ( \frac{2}{x} - \frac{ \sin(x) }{ \cos(x) ) } )$

Expand:

${y}^{'} = 2x \cos(x) - {x}^{2} \sin(x)$

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3 years ago

In the figure below, AD is the perpendicular bisector of CB. Based on this information, which other statement can be proven to b

snow_tiger [21]

Answer:

463833

expand

Medium

Solution

verified

Verified by Toppr

In △ABD and △ACD, we have

DB=DC ∣ Given

∠ADB=∠ADC ∣ since AD⊥BC

AD=AD ∣ Common

∴ by SAS criterion of congruence, we have.

△ABD≅△ACD

⇒AB=AC ∣ Since corresponding parts of congruent triangles are equal

Hence, △ ABC is isosceles.

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1 year ago

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If the parent function f(x)=\root(3)(x) is transformed to g(x)=\root(3)(x+2-4), which is the graph of g(x)?

Arisa [49]

ANSWER

A.

EXPLANATION

The parent function is

$f(x) = \sqrt[3]{x}$

This function is transformed to obtain

$g(x) = \sqrt[3]{x + 2} - 4$

The +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.

The -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.

The correct option is A.

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3 years ago

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What is the remainder when 4x^3+2x^2-18+38/x-3

Trava [24]

Answer:

The remainder is 2

Step-by-step explanation:

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3 years ago

Solve the proportion<br> 16/50 = x/156.25

yuradex [85]

The answer for this proportion is 50.
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