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MAVERICK [17]
1 year ago
11

36. Salma has a salary of 6.2 x 10 to the power of 4 dollars per year. Carter has a salary of

Mathematics
1 answer:
ElenaW [278]1 year ago
3 0

Carter's salary is $1.1138⁶ more than Salma's salary.

<h3>How much larger is Carter's salary than Salma's?</h3>

To perform the difference, we need to be able to take a common factor.

We know that Salma's salary is $6.2×10⁴

While Carter's salary is $1.2×10⁶

To get the same common factor, 10⁴, we can divide and multiply Carter's salary by 100, so we get:

1.2*10^6*\frac{100}{100}  = (1.2*100)*(10^6/100) = 120*10^4

Then Carter's salary is $120*10⁴

The difference between Carter's and Salma's salaries is:

$120*10⁴ -  $6.2×10⁴ = $113.8*10⁴

If we return to the scientific notation, we get:

$113.8*10⁴  = $1.1138⁶

This means that Carter's salary is $1.1138⁶ more than Salma's salary.

If you want to learn more about scientific notation:

brainly.com/question/5756316

#SPJ1

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Kisachek [45]
Denote the sequence by a_n with n\ge1.

Recursively:

The first number is a_1=8, and each successive number is twice the previous one. So a_2=16, a_3=32, a_4=64, ... .

In other words,

a_2=2a_1
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and so in general,

a_n=2a_{n-1}

Explicitly:

We can arrive at this formula by, in a way, working backwards. If a_n=2a_{n-1}, that means a_{n-1}=2a_{n-2}, and so a_n=2(2a_{n-2})=2^2a_{n-2}, and so on. We would end up with

a_n=2a_{n-1}=2^2a_{n-2}=2^3a_{n-3}=\cdots=2^{n-2}a_2=2^{n-1}a_1

(You'll notice a pattern here: the exponent of the 2 and the index of the earlier term in the sequence add up to n. For example, 2^1a_{n-1}\implies 1+(n-1)=n.)

or simply

a_n=2^{n-1}\cdot8

Then the 15th term is obtained immediately by evaluating this rule at n=15. We get

a_{15}=2^{15-1}\cdot8=2^{14}\cdot2^3=2^{17}=131,072
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2 years ago
What number should be added to both sides of the equation to complete the square? x2 + 3x = 6
Nookie1986 [14]

Answer:

2.25

Step-by-step explanation:

x^2 + 3x =6

Take the coefficient of the x term

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Square it

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3 years ago
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Answer:

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Step-by-step explanation:

Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.

By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.

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Therefore x = 30 will be the answer.

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Answer:

48%

Step-by-step explanation:

100/25= 4

so

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