Consider this quadratic equation:
1 answer:
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Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as :
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000
Options :
21 mm2
24 mm2
42 mm2
48 mm2
Answer: 24mm^2
Step-by-step explanation:
Given the following :
Side length of larger triangle:
Base = 5mm
Height = 12mm
Side length of smaller triangle :
Base = 4mm
Height = 3mm
Area of triangle :
0.5 × base × height
Area of larger triangle :
0.5 × 12mm × 5mm = 30mm^2
Area of smaller triangle :
0.5 × 4mm × 3mm = 6mm^2
Area of shaded region :
(Area of larger triangle - Area of smaller triangle)
(30mm^2 - 6mm^2) = 24mm^2
