<span>Equations:
x + y = 5000
3x + 3.5y = 15500
------
30x + 30y = 150000
30x + 35y = 155000
-----------------------
5y = 5000
----
y = $1000.00 (amt invested at 3.5%)
---
x = $4000.00 (amt. invested at 3%)
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Step-by-step explanation:
22+8
I think this ans may help you
Answer:
417
Step-by-step explanation:
To get the number of bushels hauled by the truck each trip, we simply divide the total number of bushels by the number of trips.
That is equal to 5838/14 and that equals 417 bushels per trip
Answer:
<em>41.8°, 138.2° and 401.8°</em>
Step-by-step explanation:
Given the expression;
Let P = sinx
The expression becomes;
3P²+4P - 4 = 0
Factorize
3P²+6P-2P - 4 = 0
3P(P+2)-2(P+2) = 0
3P-2 = 0 and P+2 = 0
P = 2/3 and -2
When P = 2/3
sinx = 2/3
x = arcsin 2/3
x = arcsin 0.6667
x = 41.8 degrees
Also if P = -2
sinx = -2
x = arcsin (-2)
x will not exist in this case
To get other values of x
sin is positive in the second quadrant
x = 180 - 41.8
x = 138.2°
x = 360+41.8
x = 401.8°
<em>Hence the values of x within the interval are 41.8°, 138.2° and 401.8°</em>
Answer:
BC = 5 m
AC = 3.66 m
Step-by-step explanation:
Using the sin rule,
AB×sin C = BC×Sin A
5√2 × Sin 30 = a sin 45
3.5355 = BC sin 45
BC = 3.5355/sin 45
= 5 m
AC × sin 105 = 5√2 × sin 30
AC = 3.5355/sin 105
= 3.66 m