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3 years ago

Solve each equation with a variable 7X -14+ 2X equals negative 2X +3

Mathematics

1 answer:

Len [333]3 years ago

4 0

Answer:

$7x - 14 + 2x = - (2x + 3 )\\ \\ 9x - 14 = -2x - 3 \\ \\ 9x + 2x = - 3 + 14 \\ \\ 11x = 11 \\ \\ { \underline{ \: \: x = 1 \: \: }}$

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An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =

avanturin [10]

Answer:

Step-by-step explanation:

We know that the equation for the depreciation of the car is:

$y=A(1-r)^t$

Where y is the current cost, A is the original cost, r is the rate of depreciation, and t is the time, in years.

We are told that the value of the car now is half of what it originally cost. So:

$y=\frac{1}{2}A$

Substitute this for y:

$\frac{1}{2}A=A(1-r)^t$

We also know that the rate of depreciation is 10% or 0.1. Substitute 0.1 for r:

$\frac{1}{2}A=A(1-0.1)^t$

So, let's solve for t. Divide both sides by A:

$\frac{1}{2}=(1-0.1)^t$

Subtract within the parentheses:

$\frac{1}{2}=(0.9)^t$

Take the natural log of both sides:

$\ln(\frac{1}{2})=\ln((0.9)^t})$

Using the properties of logarithms, we can move the t to the front:

$\ln(\frac{1}{2})=t\ln(0.9)$

Divide both sides by ln(0.9):

$t=\frac{\ln(\frac{1}{2})}{\ln(0.9)}$

Use a calculator. So, the car is approximately:

$t\approx6.6\text{ years old}$

Our answer is D.

And we're done!

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3 years ago

A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. What is the

mina [271]

Answer:

40 feet by 4 feet

Step-by-step explanation:

Given length (l) = 100 feet

width (w) = 10 feet

As mentioned in the question the size of garden is decreased to 2/5 of its size. <u>It will effect the length and width with the same proportion.</u>

So,

New length = 100 * 2/5 = 40 feet

New width = 10 * 2/5 = 4 feet

Therefore, the scale of new drawing would be 40 feet by 4 feet

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4 years ago

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photoshop1234 [79]

Answer:

879.6

Step-by-step explanation:

I had a similar question that I solved which helped me here.

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3 years ago

HELP HELP !!!!!!!!!!!!!!!!!!!!!

netineya [11]

Answer:

Step-by-step explanation:

(1/2)÷4=1/8

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3 years ago

Read 2 more answers

The middle person in a row is the 18th, how many persons are in the row?

inessss [21]

Answer:

Step-by-step explanation:

IF the middle is 18 then there aer 17 infront and 17 in back added together equals 35.

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3 years ago