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galben [10]
2 years ago
15

Mike began with $20 in savings and increased his savings by $10 every month. Lindsay began with $5 in savings and doubled her sa

vings every month. Who saved more by the seventh month?​
Mathematics
1 answer:
MrMuchimi2 years ago
3 0

Answer:

Lindsay...................................

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On a road trip,drove at a speed of 60 miles per hour for the first two hours. She then increased her speed by 25%. How fast was
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This can either be done by multiplying with 125% (1.25) or, by dividing by dividing on 4 and adding a part.

This is the easiest way, tho.

60*1.25=75

The correct answer is 75 mph.

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Answer:

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Step-by-step explanation:

4 0
2 years ago
Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
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