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smartowl101
01.11.2019 •
Mathematics
Jolene works for a company that does not offer retirement matching. for the last 16 years, jolene has been depositing $150 into her 401(k) savings account that pays 5.99% interest annually. after 16 years, how much money has been deposited into the 401(k) by jolene?
round your answer to the nearest dollar.
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Ответ:
$2,543.84 is your answer.
Step-by-step explanation:
What you do first is you have to figure out the 5.99% interest rate.
150 x 5.99 = 8.99
150 + 8.99 = $158.99
Now multiply that by 16
158.99 x 16 = $2,543.84 is your answer.
Ответ:
It has exactly 3 congruent sides.
Step-by-step explanation:
Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF + ∠GFJ = 180°.
So, 30° + 90° + ∠GFJ = 180°
120° + ∠GFJ = 180°
∠GFJ = 180° - 120°
∠GFJ = 60°
Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH + ∠JHG = 180°.
So, 30° + 90° + ∠JHG = 180°
120° + ∠JHG = 180°
∠JHG = 180° - 120°
∠JHG = 60°
Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°
Since ∠FGH = ∠GFJ = ∠JHG = 60°
So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.
So exactly 3 sides are congruent in ΔFGJ.