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davismar3
19.07.2019 •
Mathematics
The linear function graphed below represents tim’s age in the years since he was married. which of these statements is correct? a(the initial value is 22, and the rate of change is 1. b(the initial value is 22, and the rate of change is 15. c(the initial value is 32, and the rate of change is 1. d(the initial value is 32, and the rate of change is 15.
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Ответ:
B) The initial value is 22, and the rate of change is 15.
Step-by-step explanation:
The first point is located at (22, 54). This means the initial value is 22.
The rate of change is found using the formula
Using the first two points, we have
Ответ:
Let us assume Maricopa invested X amount in CDs, then she would have invested X+30000 in bonds
We know Amount Invested in CDs + Amount invested in Bonds + Amount Invested in Stocks = 90000
As we earlier discussed Amount Invested in CDs = X, Amount Invested in X + 30000 putting these in above equation
X + X + 30000 + Amount invested in stocks = 90000
2X+ 30000 + Amount invested in stocks = 90000
Taking 2X + 30000 to right hand side of equation
Amount invested in stocks = 90000 - 30000 - 2X
= 60000 - 2X
Now Interest on CDs = 4.25 % * Amount invested in CDs = 4.25/100 * X = 0.0425 X
Interest on bonds = 4.3/100 % * Amount invested in Bonds = 4.3/100 * (30000 + X)= 1290 + 0.043X
Interest on stocks = 8.6/100% * Amount invested in stocks = 8.6/100 * (60000 - 2X) = 5160 - 0.172X
Total Interest = 5153
Adding all the interest calculated
0.0425X + 1290+ 0.043X + 5160 - 0.172X = 5153
(0.0425X + 0.043X - 0.172X) + (1290+5160) = 5153
-0.0865 X + 6450 = 5153
0.0865 X = 6450 - 5153
0.0865 X = 1297
X = 15000
CDs amount = $15000
Bonds amount = $45000
Stocks amount = $30000