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Rufina [12.5K]
3 years ago
9

Which shows the expression below in simplified form? (8.1 × 105) ÷ (9 × 102)

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
So i think this wan being 

(8,1 x 10^5)
----------------- = 0,9 x 10^3 = 9 x 10^2
 (9 x 10^2) 
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If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in
Vilka [71]

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

Amount invested = $396

Interest rate = 13% per year

Time = 3 years

We will use the "Exponential growth formula" i.e.

A=Pe^{rt}

Here,

P denotes Principle amount

r denoted rate of growth

t  denotes number of years,

So, it becomes

A=396e^{0.13\times 3}\\\\A=396e^{0.69}\\\\A=\$584.88

Hence, First option is correct.

3 0
3 years ago
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Which equation represents a line that passes through the point (−2, 6) and is parallel to the line whose equation is 3x − 4y = 6
mart [117]
Method 1:  Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.

Thus, the equation of the new line is   3(-2) − 4(6) = C, where C comes out to 30.

Then the new line is 3x - 4y = 30.


8 0
3 years ago
What is the missing step in the given proof? Help me out with my math homework please!
kari74 [83]

Answer: The missing step is,

m∠OCP ≅ m∠ABC because corresponding angles made by the same transversal on the parallel lines are congruent.

Step-by-step explanation:

Given : AC \parallel BD, AB \parallel CD

And, AC \perp CD

We have to Prove : Angle PCQ is complementary to  angle ABC

⇒ m\angle PCQ + m\angle ABC = 90^{\circ}

Proof:  Since, AC \perp CD

⇒  m\angle OCQ = 90^{\circ}

But,  m\angle OCQ = m\angle OCP +m\angle PCQ ( By angle addition postulate )

⇒  m\angle OCP +m\angle PCQ = 90^{\circ} ( By transitive property of equality )

Since, AC \parallel BD,

⇒ \angle OCP\cong \angle ABC ( corresponding angles made by the same transversal are congruent)

⇒  m\angle OCP = m\angle ABC ( By the definition of congruent angles )

This leads,

m\angle ABC +m\angle PCQ = 90^{\circ}  ( by the transitive property of equality )

Thus, by the definition of complementary angles,

Angle PCQ is complementary to  angle ABC

Hence proved.

5 0
3 years ago
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PL has endpoints P(4, −6) and L(−2, 1).
s344n2d4d5 [400]

Answer:

C - P’(9, -6), L’(3, 1)

Step-by-step explanation:

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3 years ago
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You’re locked out of your house. The only open window is on the second floor, 25 feet above the ground. There are bushes along t
kondaur [170]

Answer:

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