02.03.2022

Solve the equation algebraically. 2lnx + 7 = ln(4x) + 10

Round your final answers to two decimal places.

. 0

Step-by-step answer

09.07.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Master

x = 80.34 (2 dp)

Step-by-step explanation:

2\ln(x)+7=\ln(4x)+10

\implies \ln(x^2)+7=\ln(4x)+10

\implies \ln(x^2)-\ln(4x)=10-7

\implies \ln\left(\dfrac{x^2}{4x}\right)=3

\implies \ln\left(\dfrac{x}{4}\right)=3

\implies e^{\ln\left(\dfrac{x}{4}\right)}=e^3

\implies \dfrac{x}{4}=e^3

\implies x=4e^3

\implies x=80.34 \textsf{ (2 dp)}

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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