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x^2+3x-10=18
minus 18 both sides
x^2+3x-28=0
find what 2 numbers mutiply to -28 and add to 3
7 and -3
(x+7)(x-3)=0
set each to zero
x+7=0
x=-7
x-3=0
x=3
x=-7 and 3
Answer: d) DF ≅ JH
<u>Step-by-step explanation:</u>
Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.
Given: EF ≅HI
Given: DE ≅IJ
Missing: DF ≅ JH
The answer is 1.25 meters.
hope it helps
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Answer: $15385 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.8%. So
r = 7.8/100 = 0.078
It was compounded for 4 years. Therefore,
t = 4
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore
21000 = P (1+0.078/12)^12×4
21000 = P (1+0.078/12)^48
21000 = P (1+0.0065)^48
21000 = P (1.0065)^48
P = 21000/1.365
P = $15385
