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tankabanditka [31]
3 years ago
9

Invests 3000 dollars for 10 years compounded weekly. Final value 4500 dollars. What is the interest rate?

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0
Depends to what time (month, days, weeks) I'll assume annually which would be 150$ a year
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I need help geometry final part 1
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Answer:

See below

Step-by-step explanation:

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2 years ago
Kenny had 5/7 more trading cards than lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee.
svp [43]

Answer:

Step-by-step explanation:

Let X is the number of cards Kenny has

Let Y is the number of cards Lee has

1. Kenny had 5/7 more trading cards than lee, it means

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2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:

X + 50%X = Y +  220 (2)

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\left \{ {{X=Y + 5/7X} \atop {1.5X=Y +220}} \right.

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of
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Answer: Area of ΔABC is 2.25x the area of ΔDEF.

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A=\frac{\sqrt{3} }{4} a^{2}

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}

A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}

A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}

Now, comparing areas:

\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

\frac{A_{1}}{A_{2}} = 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

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