Answer:
Therefore the amount in the 4% savings account = $550
Step-by-step explanation:
i) the total amount = $1500
ii) let the amount placed in the 4% interest savings account = x
iii) let the amount placed in the 5% interest savings account = y
iv) therefore fro i) we can say x + y = 1500
v) the total interest gained = $69.5
vi) therefore we can write 0.04x + 0.05y = 69.50
vii) multiplying equation vi) with 100 we get 4x + 5y = 6950
viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500
ix) Subtracting equation in vii) from equation in viii) we get x = $550
x) Therefore the amount in the 4% savings account = $550
Answer:
Step-by-step explanation:
481 = 1.5h + 403
The 3 consecutive numbers are 41, 42, and 43 : 41+42+43= 126
L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.
<h3>What is the graph about?</h3>
Note that:
The graph shows that the point L is one that is below the blue line of the graph.
Therefore, x + y = 500
Also one need to see that:
0.18x + 0.04y = 500(0.12)
Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.
Hence the total amount of butterfat for L is:
0.18 x 350 + 0.04 x 100
= 67ml.
Next, one has to calculate 12% of the volume of L :
12% of 450:
0.12 x 450 = 54ml
So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.
Read more on mixture here:
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Answer:
all 4 acute angles: 15 degrees
all 4 obtuse angles: 165 degrees
Step-by-step explanation:
The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.
All four acute angles are 15°; all four obtuse angles are 165°.