1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiv31 [10]
3 years ago
11

Solving Exponential and Logarithmic Equations In Exercise, solve for x. 500(1.075)120x = 100.000

Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer:

The solution is:

x = 0.61

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

500(1.075)^{120x} = 100000

(1.075)^{120x} = \frac{100000}{500}

(1.075)^{120x} = 200

To find x, we have to apply log to both sides of the equality.

We also have that:

\log{a^{x}} = x\log{a}

So

\log{(1.075)^{120x}} = \log{200}

120x\log{1.075} = 2.30

120x*0.03 = 2.30

3.77x = 2.30

x = \frac{2.30}{3.77}

x = 0.61

You might be interested in
A line passes through the point (4,8) and has a slope of 3/2. Write an equation in slope-intercept form this line.
Tcecarenko [31]

Answer:

3x-2y=-4 is the equation of the slope intercept line.

Step-by-step explanation:

The passing through point (4,8)=(x1,y1)

Slope(m)=3/2

the equation is

or (y-y1)=m(x-x1)

or (y-8)=3/2(x-4)

or 2y-16=3x-12

or 2y-3x=16-12

or 2y-3x=4

or -(3x+2y)=4

or 3x-2y=-4

This is the Final equation of that line..

6 0
3 years ago
The length of the side sqaure A is 50% OF THE LENGTH OF THE SIDE SQUARE b
UNO [17]

Let's say the side length of square A is x, which means the side length of square B is 2x.

Then, the area of square A can be written as , and the area of square B can be written as .

There's no diagram here with shaded region, so I'll just find the area of square A as a percentage of the area of square B:

= 1/4 = 25%

So, the answer is 25% (note this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question

4 0
2 years ago
PLEASE ANSWER ASAP! MUST BE CORRECT! MORE POINTS GIVEN!!!
Tasya [4]
These are the two rules for when a and b are positive numbers.
a + b = b + a
a - b ≠ b -a
a - b = -b + a

For example:

5.71 + 2.84 = 2.84 + 5.71
8.55 = 8.55

5.71 - 2.84 ≠ 2.84 - 5.71
2.87 ≠ -2.87

5.71 - 2.84 = -2.84 + 5.71
2.87 = 2.87



These are the rules for when a and b are negative numbers.
a + b = b + a
a - b = b + a

For example,

-6.2 + (-3.96) = -3.96 + (-6.2)
-6.2 - 3.96 = -3.96 - 6.2
-10.16 = -10.16

-6.2 - (3.96) = -3.96 + (-6.2)
-10.16 = -10.16



Also, if a is a positive number, while b is a negative number, we see these rules:
a + b = a - b
a - b = a + b

For example,

5.71 + (-6.2) = 5.71 - 6.2
-0.49 = -0.49

5.71 - (-6.2) = 5.71 + 6.2
11.91 = 11.91


Also, if a is a negative number while b is a positive number, then these rules will apply:
a + b = b - a
a - b = -b - a

For example,

-3.96 + 2.84 = 2.84 - 3.96
-1.12 = <span>-1.12
</span>
-3.96 - 2.84 = -2.84 - 3.96
-6.8 = -6.8


I hope this helps! :)
4 0
3 years ago
PLZZ could someone help me out with this and explain
jenyasd209 [6]

Answer:

It would be D because X^2 is different from 3x you would just multiply X^2 by 1 and 3x by 1 to get x^2+3x

3 0
3 years ago
Read 2 more answers
Solve for x, in terms of y: 2 3 x + 1 5 y = 2
satela [25.4K]

Answer:

(2/3)x - (1/5) y = 10. to solve for x in terms of y: (2/3)x - (1/5) y = 10. (2/3)x = 10 + (1/5)y. x = (10 + (1/5)y)(3/2). x = 15 + 3/10 y. if y = 0; x = 15. to solve for y in terms ...

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The scale on a map shows that 5 centimeters=2 kilometers.
    12·2 answers
  • What number is 40% of 30? Will Upvote
    14·1 answer
  • If f(x) is an even function and f(3)=5 then what is the value of 4f(3)+2f(-3)?
    13·1 answer
  • Please Answer!!!
    13·1 answer
  • Multiply<br>8(-12)<br>what is the answer​
    15·2 answers
  • Ifr=9 and t= 11, what is the value of 2rt?<br> 50<br> O 101<br> 100<br> O 198
    5·2 answers
  • Please help with this! It's due soon! Braileist or however you spell it will be given! I'm not the brightest and have other work
    15·1 answer
  • Will give BRAINLYEST
    13·1 answer
  • Am I correct with my answers?
    9·1 answer
  • Use the Pythagorean identity
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!