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GuDViN [60]
3 years ago
8

Daniel is using logarithms to solve the equation 2^4x = 14. Which of the following equations would be equivalent to his original

expression?
A. 2 log 4x = log 14
B.4x log 2 = log 14
C.2 log 4 = x log 14
D. x log 4 = 2 log 14
Mathematics
1 answer:
ycow [4]3 years ago
4 0
Remember
log_a(b^c)=(c)log_a(b)
so
2^{4x}=14 take the log of both sides
log(2^{4x})=log(14) or
4xlog(2)=log(14)

B is the answer
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If your starting salary is $50,000 and you receive a 4%increase at the end of every year, what is the total amount, indollars, y
Softa [21]
Answer

Total amount earned after 16 years = $93649

Explanation:

The principal, P = $50,000

Interest rate, r = 4% = 4/100

r = 0.04

The time, t = 16 years

Number of times intesrest is compounded per year, n = 1

Total amount is calculated below:

\begin{gathered} A=P(1+r)^t \\  \\ A=50000(1+0.04)^{16} \\  \\ A=50000(1.04)^{16} \\  \\ A=\$93649 \end{gathered}

Total amount earned after 16 years = $93649

4 0
1 year ago
Look at pseudocode segment below. y ← x + x + x + x + x // line a z ← y + y + y // line b If x = 6 before this segment is execut
r-ruslan [8.4K]

Answer:

90.

Step-by-step explanation:

We have two lines of code:

y ← x + x + x + x + x

z ← y + y + y

and, x=6 before the execution. Then, when the program starts to run we obtain:

y ← 6 + 6 + 6 + 6 + 6

y ← 30

z ← 30+30+30

z ← 90.

Then, the value of z after excecution is 90.

6 0
3 years ago
At a college, 71% of courses have final exams and 45% of courses require research papers. Suppose that 26% of courses have a res
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Answer:

.9 or 90%

.1 or 10%

Step-by-step explanation:

E= Exam

P=Paper

E= .71

P= .45

E∩P=.26

A.) E∪P=?

E∪P= E+P-E∩P

.71+.45-.26= .9

B.) E'∩P' = (E∪P)'

(E∪P)' = 1-.9 = .1

3 0
2 years ago
Plz..Help Me Solve This ...
puteri [66]
R = recycling and reuse industry jobs
w = waste management jobs

we know, those two jobs combined are 1,275,000
or
r + w = 1,275,000

we also know that, whatever the "w" jobs are, are really less than "r"
jobs by 1,025,000

"r" has 1,025,000 more than  "w"
or
r = w + 1,025,000
or
r-w = 1,025,000

so... there, just solve by elimination, simple, notice the "w",
is just waiting to be eliminated :)

\bf \begin{cases}
r+\quad  w=1,275,000\\
r-\quad w=1,025,000\\
\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
\boxed{?}+\boxed{?}=\boxed{?}
\end{cases}
7 0
3 years ago
Write addition sentences (expression) where the sum is zero. <br><br> can someone make a expression
12345 [234]

<u>(-2)+2=0, (-0.5)+0.5=0, and (-5)+5=0</u>

All those equations answers are 0, please mark me brainiest, and hope I helped!

4 0
2 years ago
Read 2 more answers
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