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## Experienced tutor in earth sciences and basic math to trigonometry

### Saint Petersburg, FL (33703)

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 Background Check Passed 1/19/2012 Your first hour with any tutor is always 100% refundable!

# Anthony's Responses in WyzAnt Answers

#### how to solve a problem in algerbra

Find the value of 18x − 3 for the following value of x.

4/3 In my text book I am unable to find out how to solve this problem can you please show me the steps so I am able to solve the problem and others just like it.

Thank You

Angel

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Asked by Angel from Waukesha, WI
10

Is the value of x = 4/3?

If so, then substitute the (4/3) into the expression and evaluate.

18(4/3) - 3

18 times (4/3) minus 3

Order of operations: parentheses, exponents, multiplication/division, addition/subtraction

So 18 times (4/3) means 18 times 4, divided by 3 which is

(72/3) - 3

24 - 3

21

#### Suppose you deposit \$3,000 for 6 years at a rate of 7%. I don't understand this question.

A=P(1+ r/n)nt        All work needs to be shown on how answer was calculated

a) Calculate the return (A) if the bank compounds semi-annually. Round your answer to the nearest cent.

b) Calculate the return (A) if the bank compounds monthly. Round your answer to the nearest cent.

c) If a bank compounds continuously, then the formula used is where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the nearest cent.

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Asked by Char from Grand Rapids, MI
10

This is a compound interest formula, where P = principal, r = rate, n = # compoundings per yr, t = time (in years).

P = 3000
r = 7% = 0.07
t = 6
n = 2 (semi-annually)

a) A = 3000(1 + 0.07/2)^(2*6) = \$4,533.21

b) A = 3000(1 + 0.07/12)^(12*6) = \$4,560.32

Continuous compounding: A = Pe^(rt)

c) A = 3000(2.7183)^(0.07*6) = \$4,565.90

#### solve for d -2(d-3)+5d greater then equal to 36

greater than equal to symbol

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Asked by Edgar from Gainesville, GA
10

d - 2(d - 3) + 5d ≥ 36

Solve using steps similar to ordinary equations:

d - 2d + 6 + 5d ≥ 36

4d + 6 ≥ 36

4d ≥ 30

d ≥ 30/4

d ≥ 15/2

So d must be a value that is greater than or equal to 15/2.

-5           0                      15/2
<--------|----------|-------------------•########################>

#### Why are you not able to factor the polynomial: 7m + 6mn + 3m^2 + 14n by grouping?

Could I please just have a brief explanation?

Why are you not able to factor the polynomial: 7m + 6mn + 3m^2 + 14n by grouping?

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10

This is factorable by grouping. One thing to consider is that terms are commutative, meaning they can be rearranged.

7m + 6mn + 3m2 + 14n

Rearrange terms and group 1st two and 2nd two==> (7m + 14n) + (6mn + 3m2)

From each group, factor out the GCF ==> 7(m + 2n) + 3m(2n + m)

Notice that the quantities in bold are identical (this let's you know you did the technique correctly). So now, the GCF of this new expression is the quantity (2n + m), so let's factor that out.

(2n + m)(7 + 3m) ==> note that if you distribute the bold quantity, you'd get the above expression again.

#### What are the two points to this system of equations solved by the substitution method?

7y=x+2 and 4x-8y=12

Thank you!!

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Asked by Courtnee from Mitchell, IN
10

(1) 7y = x + 2
(2) 4x - 8y = 12

To solve this system, let's choose a variable from on of the equations to solve for (it doesn't matter which equation or which variable, so let's make it easy). I'll choose to solve for x in eqn 1.

x = 7y - 2

Now substitute for x in eqn 2

4x - 8y = 12

4(7y - 2) - 8y = 12

Notice that now we have an equation that's only in terms of one variable, y. Solve for y.

28y - 8 - 8y = 12
20y = 20
y = 1

Now that we have a value for y, substitute into any equation to find x (I'll use x = 7y - 2 since it was already solved for x)

x = 7y - 2
x = 7(1) - 2 = 5

So the point of intersection of these two lines is (5 , 1)

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## Background Check Status for Anthony P.

Anthony P. passed a background check on 1/19/2012. You may run an updated background check on Anthony once you send an email.