Answer:
Just remember that when it comes to vertex form and parabola transformations a negative h means shift right and positive h left. We anumberd to the number lgraphbitself itself having negative integers on left and positive on right and I can see why this throws people off.
Step-by-step explanation:
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Answer: $5000; $2000
Step-by-step explanation:
Simolw interest is calculated as: PRT/100
where,
P = principal
R = rate
T = time
Let the money in the 4-yr cd be represented by y.
Since rate = 5.2%
Simple interest = (y × 5.2 × 4)/100
Since he invested $3000 less in a 18-month CD, Let the money in the 18-month CD be represented by (y - $3000).
Then, S.I = [(y - $3000) × 3 × 1.5]/100
The total interest = $1130
We then equate the two simple interest together. This will be:
= (y × 5.2 × 4)/100 + (y - $3000) × 3 × 1.5]/100 = $1130
0.208y + 0.045(y - $3000) = $1130
0.208y + 0.045y - $135 = $1130
0.253y = $1130 + $135
0.253y = $1265
y = $1265/0.253
y = $5000
The money invested in 4-yr CD = $5000
The money invested in the 18-month CD = $5000 - $3000 = $2000
Answer: x=12
Step-by-step explanation:
1/3 x -4
1/3x=4 <---- First add 4 to each side of the equation (moves the "-4")
1/3x(3)=4(3) <---- Muliply each side by "3" to get rid of the fraction
x=12