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nevsk [136]
3 years ago
8

The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this go

al. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following options:
Option A: Stay with saving the original amount each month but put the addition on one month later than originally planned.
Option B: Increase the amount of money they save each month by $120 from their original plan.
Which of the following statements is true?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.
Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0
Amount saved using option A = 6120/12 x 19 = $9,690

Amount saved using option B = 6120 + 6(6120/12 + 120) = 6,120 + 6(510 + 120) = 6120 + 6(630) = 6120 + 3780 = $9,900

Neither option A nor option B will allow them to meet their goal.
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From \mathbf{(i)}, we find the measure of u:

u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}

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