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MatroZZZ [7]
1 year ago
5

Ms. Anderson currently has 550 contacts on an online professional networking site. Her goal is to have at least 1,000 contacts.

If she wants to meet this goal in 25 weeks, what is the minimum number of contacts per week, on average, she should add?
SAT
1 answer:
BigorU [14]1 year ago
8 0

Answer:

18

Explanation:

Goal: at least 1000

1000 - 550 = 450 remaining

450/25 = 18 contacts per week (minimum)

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Soon Yi loves to bake, and she is making flaky pastry. Soon Yi starts with a layer of dough 222 millimeters (\text{mm})(mm)left
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Answer:

3 times

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We want to find the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5mm.

i.e When T(n)\geq 2.5$ mm

2(1+0.08)^n\geq 2.5\\2(1.08)^n\geq 2.5\\$Divide both sides by 2$\\\dfrac{2(1.08)^n}{2}\geq \dfrac{2.5}{2}\\\\1.08^n\geq 1.25\\\\$Change to logarithm form\\n \geq \log_{1.08}1.25\\\\n\geq \dfrac{\log 1.25}{\log 1.08} \\\\n\geq 2.9

Therefore, the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5mm thick is 3.

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