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2 years ago

Solve each of the following exponential equations using common bases:

Mathematics

1 answer:

pantera1 [17]2 years ago

6 0

Answer:

x=19/6, x=-9/13, x=33/4

Step-by-step explanation:

1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6

2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13

3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4

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The sale price of the new car was $14,500. The sales tax rate was 6.5 percent. What was the sale tax on the car?

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3 years ago

Solve 3-(2x-5)<-4(x+2)

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Step-by-step explanation:

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ElenaW [278]

Answer:

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Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

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$P=323e^{0.007t}$

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$t=\frac{ln(1.2384}{0.007}$

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