Answer: 15 1/3 months
Step-by-step explanation:
Daniella has $210 in the bank, and her balance grows at a rate of $3 each month. This can be written as:
b = 3m + 210 ...... equation i
Lori has $187 in the bank and her balance grows at a rate of $4.50 each month. This can be written as:
b = 4.5m + 187 ....... equation ii
Combine both equations
b = 3m + 210
b = 4.5m + 187
3m + 210 = 4.5m + 187
4.5m - 3m = 210 - 187
1.5m = 23
m = 23/1.5
m = 15 1/3 months
Answer:
Please Find the solution below
Step-by-step explanation:
Let us say the two equations are
x+y=5 --------------(A)
x-y=1 -------------(B)
Let us solve them for x and y by adding them
2x=6
x=3
Hence from (A)
3+y=5
y=2
Hence our solution is
x=3, y=2
Adding same number to equation (A) say 2 we get
x+y+2=5+2
x+y=5+2-2
x+y=5
Hence equation remains the same while adding same number to each side.
Same thing happens if we add same number to equation (B)
Hence we draw the conclusion that the solution remains the same if same number is added to each side of the original equation.
9514 1404 393
Answer:
C. 1/(4a)
Step-by-step explanation:
We assume you're comparing the vertex form ...
y = a(x -h)^2 +k
to the form used to write the equation in terms of the focal distance p.
y = 1/(4p)(x -h)^2 +k
That comparison tells you ...
a = 1/(4p)
p = 1/(4a) . . . . . . multiply by p/a; matches choice C
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<em>Additional comment</em>
When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).
When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

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