360 because you multiply 8 x 5 x 9
Answer:
29
Step-by-step explanation:
-9+21= 21
-12+4=-8
21-(-8)=29
Answer:
(32/5, -48/5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x + 16 = y
2x - 32 = 2y
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 32 = 2(-4x + 16)
- Distribute 2: 2x - 32 = -8x + 32
- [Addition Property of Equality] Add 8x on both sides: 10x - 32 = 32
- [Addition Property of Equality] Add 32 on both sides: 10x = 64
- [Division Property of Equality] Divide 10 on both sides: x = 32/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -4x + 16 = y
- Substitute in <em>x</em>: -4(32/5) + 16 = y
- Multiply: -128/5 + 16 = y
- Add: -48/5 = y
- Rewrite/Rearrange: y = -48/5
So, you had done everything right so far (other than squaring the 2), but that was only half of the question.
to find the least common multiple, you need to first figure out what the prime factors have in common.

each have two twos. both have one 5, so we know our answer will look something like

now to figure out the other stuff... we have to represent the greatest amount of everything that is left, and we have 3s and 7s left over, so we need to figure out how many of each we need.
one has one 3 and one has two, so we need two threes. now our equation is

what's the only number we have to deal with? 7...
how many sevens does 60 have? 0, and 630 has 1, so we know we need one 7. our answer becomes
Answer:
Step-by-step explanation:
The compounding formula for this is
where A(t) is the amount after all the compounding is done, P is the initial investment, r is the interest rate as a decimal, n is the number of times the interest compounds per year, and t is the time in years. For us, our n is 2, since the money compounds every 6 months, and 6 months goes into 1 year 2 times. Our formula then is:
which simplifies a bit to
which simplifies a bit more to

Raise 1.06 to the power of 18 and then multiply the 2 numbers together:
A(t) = 823(2.854339153) so
A(t) = 2349.12