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mr Goodwill [35]
3 years ago
7

The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, bu

t it must spend $15 per race entry to cover the cost of the race. Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000.
Mathematics
1 answer:
tester [92]3 years ago
5 0
<span>x = number of entries 55x + 10000 - 15x ≥ 55000 First, subtract 10000 from each side 55x - 15x ≥ 45000 Now, we can combine 55x and 15x because they've both got the same variable attached 40x ≥ 45000 Now divide each side by 40 to isolate x (which is the number of entries) x ≥ 1125 The race needs at least 1125 entries to raise at least $55,000.</span>
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Li Jing's formula i.e.  \boxed{g_n=-5\cdot \:5^{n-1}}  is right.

Step-by-step explanation:

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A geometric sequence has a constant ratio r and is defined by

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\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}

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as

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