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kozerog [31]
3 years ago
7

Solve log (4x+5)=2. Round to the nearest thousandth if necessary.

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0
10%5E2+=+4x+%2B+5
100+=+4x+%2B+5
4x+=+95
x+=+23.75
i really need a branliest plz...
Andre45 [30]3 years ago
5 0

Answer:

The solution is x=\frac{95}{4}=23.75.

Step-by-step explanation:

To solve the equation \log _{10}\left(4x+5\right)=2.

Use the logarithmic definition: \mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c

\log _{10}\left(4x+5\right)=2\quad \Rightarrow \quad \:4x+5=10^2

Simplify

4x+5=100

Next, solve for x

4x+5-5=100-5\\4x=95\\\frac{4x}{4}=\frac{95}{4}\\x=\frac{95}{4}

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Answer:

x=2

Step-by-step explanation:

5(6x-1)-10x+5=4(x+10)-4x

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3 0
3 years ago
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Answer:

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3 years ago
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Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months
lesantik [10]

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

A =P(1+\frac{r}{n})^n*t

Where

A = Accumulated amount  

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.  

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17  (as she will withdraw 3 month before the completion of five years)

A = 7100(1+\frac{2.8}{100} )^17

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   = 7100 * 1.599

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Therefore the money she will end up earning in interest on the cd = $11,352.90

8 0
3 years ago
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