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Lady_Fox [76]
3 years ago
15

earned $4200 and earned $174 in interest if one earns 3.5% and the other 4.5 % how much was invested at each rate

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174

substitute x = 4200 - y into 0.035x + 0.045y = 174

0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700


x + y = 4200
x = 4200 - 2700
x = 1500

answer

$1500 in <span>3.5% 
$2700 in 4.5%</span>
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<em>Transitive</em>: Here we want to show that if r is in relation with s, and s is in relation with t, then r is in relation with t. Let us assume that the three lines are parallel, because if we have equality between two of them the statement is true directly from the above example. If the three are parallel and distinct, we know from elementary geometry that if r║s and s║t then r║t. So, the relation is transitive.

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