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blagie [28]
4 years ago
8

A baker decorates 42 cupcakes in 30

Mathematics
2 answers:
pychu [463]4 years ago
8 0
30/42=0.7
Therefore she can decorate 70% of a cupcake in 1 minute
Snowcat [4.5K]4 years ago
3 0
Every cupcake takes 1.4 minutes to make
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3 years ago
If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
vredina [299]

Answer: 4:3.

Step-by-step explanation:

Given: Point P is \dfrac{4}{7} of the distance from M to N.

To find: The ratio in which the point P partition the directed line segment from M to N.

If Point P is between points M and N, then the ratio can be written as

\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}

As per given,

\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}

Hence, P partition the directed line segment from M to N in 4:3.

7 0
3 years ago
What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
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3 years ago
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Answer:

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Step-by-step explanation:


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3 years ago
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PLEASE SOMEONE HELP
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