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3 years ago

Isolate a variable in each system. You may need to use the distributive property to simplify the equation. Show your work.

Mathematics

1 answer:

expeople1 [14]3 years ago

5 0

Answer:

1. x=-7/3 + 4y/3

2. x= 6- 3y/4

Step-by-step explanation:

to isolate the variable you simply solve for it by moving all the terms which don't contain x to the right by multiplying, subtracting, adding, and dividing

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Katyanochek1 [597]

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3 years ago

A sweater for 36.00 at 7% sales tax

blagie [28]

$36 x 1.07 = $38.52
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3 years ago

Find the amount of interest owned for a $1,895 loan for 4 years at a 7.9% interest rate

scoundrel [369]

Answer:

principal (p)=$1895

time (t)=4years

rate(r)=7.9%

Step-by-step explanation:

compound interest amount=p((1+r/100)^t-1)=$1895((1+7.9/100)^4-1)=$1895×((1.355)-1)=$1895×(0.355)=$672.725
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3 years ago

Read 2 more answers

The time between calls made to Amazon's customer service is exponentially distributed with a mean of 10 minutes (taken between e

daser333 [38]

Answer:

The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

Step-by-step explanation:

Let X = time between calls made to Amazon's customer service.

The average time between calls is, β = 10 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{10}=0.10$

The probability distribution function of X is:

$f_{X}(x)=\left \{ {{\lambda e^{-\lambda x};\ x>0}} \atop {0;\ otherwise}} \right.$

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

$P(3$

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.

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3 years ago

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Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase

KIM [24]

The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.

The final price of the book is $20.12 and Maria can get it and still save a little money

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3 years ago

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