Solve the following exponential equations 4^x=1024

Answers

Answer 1

Answer: $4^x=1024 \n\nx\neq 0\n \n4^x=4^5\n \nx=5$

Answer 2

Answer: $4^x=1024\n \n 2^(2x)=2^(10)\n \n 2x=10\n \n x=(10)/(2)\n \n \boxed{x=5}$

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A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How many total employees does the company now have?

Answers

Answer:

The total number of employees company have now are 531 .

Step-by-step explanation:

As given

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%.

18% is written in the decimal form .

$= (18)/(100)$

= 0.18

Increase in number of employees = 0.18 × Number of employees in company .

= 0.18 × 450

= 81

Total number of employees company have now = Number of employees + Increase in number of employees

= 450 + 81

= 531

Therefore the total number of employees company have now are 531 .

You just multiply 450 by .18 and it'll give you the 18% you have to add to 450.
So the equation would look like:

450(.18)=81

Which you then add:

450+81= 531

So 531 is your total!

What does this mean?

Answers

0 is less than t is less than or equal to 10

You have to simplify this without any negative exponents. Where would I start?

Answers

You have these: (a^m)^n = a^(m*n) and a^(-n) = 1/ (a^n), with n > 0 => (81^5 * y)/(x^5);

Convert 18/5 to a mixed number

Answers

your answer would be 3 an 3/5 :) hope i helped ! :D:D:D:D:D:D:D

To convert 18/5 to a mixed number all you have to do is divide 18 by five this would give you 3.6 all you have do do after that would be to change it back into a fraction.

Find last year's salary if, after a 5% pay raise, this year's salary is $38,325?

Answers

To answer the question above,
This means that
This year my salary is: 105% ( up 5% from 100%) ;
Salary = $31500
and last year. 100% ( base year) ; Let the Salary = $x

Now let us solve,
x / 100 = 31500/105
so x = 31500 * 100/105 =
$30 000
I hope my answer helped you I've included the formula on how I got the answer.

5% of 38325 is 1916.25

subtract the answer from this years salary

38325
- 1916.25
that would be 36408.75

now add comma and dollar sign and last year's salary is $36,408.75

8% of the rides in the park are water rides. If there are 4 water rides, how many rides are there in total?

Answers

8 % of the rides are water rides. So, you can say that:

When there are 100 rides, 8 rides are water rides. → you divide by 2

When there are 50 rides, 4 rides are water rides.

…so there are 50 rides in total.

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Write the equation for a parabola with the focus at(-1, 4) and the equation of the directrix x = 5.(x + 1)2 = 3(y-4)(y-4)2 = 12(x + 1)(y-2)2 = -3(x – 4)(y-4)2 = –12(x - 2)

A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar?A) 12 gallons of the 12%, and 8 gallons of the 7% B) 10 gallons of the 12% and 10 gallons of the 7% C) 8 gallons of the 12% and 12 gallons of the 7% D) 2 gallons of the 12% ad 18 gallons of the 7%

3/5 + 3/10 = ??Simplify answer fully

What fraction is equivalent to the expression 4/8 + 2/8