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
slava [35]
3 years ago
12

How do you write out exponential growth of 4=314(1.15)^x

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

-10.76

Step-by-step explanation:

Let's solve your equation step-by-step.

4=314(1.5x)

Step 1: Flip the equation.

314(1.5x)=4

Step 2: Divide both sides by 314.

314(1.5x)/314

=

4/314

1.5x=2/157

Step 3: Solve Exponent.

1.5x=2/157

log(1.5x)=log(2/157)(Take log of both sides)

x*(log(1.5))=log(2/157)

x=

log(2/157)

log(1.5)

x=−10.760725

Answer:

x=−10.760725

You might be interested in
The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant
ira [324]
\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \stackrel{\textit{\underline{y} varies directly with the square of \underline{x} and inversely with \underline{z}}}{y=\cfrac{kx^2}{z}}
\\\\\\
\textit{we also know that }
\begin{cases}
x=9\\
z=27\\
y=6
\end{cases}\implies 6=\cfrac{k9^2}{27}
\\\\\\
\cfrac{27\cdot 6}{9^2}=k\implies 2=k
4 0
3 years ago
The population of a small country is 5,740,000. express this number using scientific notation
Licemer1 [7]
So scientific notation is making the number manageable.

scientific notation is
(a number >1 and <10) times 10^x

we count how many places the decimal has to move to make the number >1 and >10.

the answer is 6.
5.74 times 10^6
8 0
3 years ago
The formula of the area of the triangle is A=1/2bh solve for h
inn [45]

Answer:

Answer:

h = \frac{2A}{b}

Step-by-step explanation:

Given

A = \frac{1}{2} bh

Multiply both sides by 2 to clear the fraction

2A = bh ( isolate h by dividing both sides by b )

h = \frac{2A}{b}

4 0
3 years ago
You have 20 coins in your pocket that are either quarter or dimes. They total $3.95. How many quarters do you have? A.16 B.13 C.
bekas [8.4K]

Answer:

B. 13

Step-by-step explanation:

Solve this by setting up system of equations:

0.25x + 0.10y = 3.95

x + y = 20

x equals the number of quarters and y equals the number of dimes. 0.25 is the value of a quarter and 0.10 is the value of a dime.

1. Multiply one equation to have the same coefficient as the other

0.10 · (x + y = 20) = 0.10x + 0.10y = 2

2. Subtract to find the value of one variable

 0.25x + 0.10y = 3.95

<u>- 0.10x + 0.10y = 2</u>

0.15x = 1.95

3. Solve for x by dividing both sides by 0.15

x = 13

3 0
3 years ago
1. A woman deposits $10000 in a bank. The interest rate per annum is 8% How much will she have in the account in 15 years to the
jeka57 [31]

Answer:

The answer is $31,722.

Step-by-step explanation:

10,000 x 1.08 = 10,800

Do this 14 more times, your answer times 1.08.

You end up with 31,721.6911418.

Rounded to the nearest dollar, that would be $31,722.

4 0
3 years ago
Other questions:
  • What is the slope of the line represented by the equation y-6=5(x-2)
    6·1 answer
  • Find two geometric means between 7 and 189
    11·1 answer
  • Which relation is a function?
    10·1 answer
  • How to you write a rule for 2, 10, 5 and 250?
    14·1 answer
  • Please help fast this is due tomorrow
    9·1 answer
  • The sum of two numbers is 12 and the quotient of those numbers is -4.
    5·1 answer
  • Helpoooooo please hhhb
    9·1 answer
  • What's us the volume. first answer get brainliest answer​
    11·2 answers
  • Someone pls help me on this! ASAP pls I’ll mark you as a brainliest.
    15·2 answers
  • Pls help me solve this
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!