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Leno4ka [110]
3 years ago
9

The diagram shows a logo made from three circles

Mathematics
2 answers:
Nana76 [90]3 years ago
8 0

Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

professor190 [17]3 years ago
3 0

Answer:

below

Step-by-step explanation:

Radius of the middle circle = 7 cm

Radius of the inner circle = 4 cm

the area of the biggest circle is= π10² = 100πcm²

the area of the medium circle is= π7² = 49πcm²

the area of the smallest circle is= π5² = 25πcm²

Area of the inner circle = π(4)²= 16π

Area of the shaded region= 49π - 16π = 33π

% area of the shaded region =  33%

Therefore, area of the shaded region is 33% of the complete logo.

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  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
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========================================================

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

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In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

-------------

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

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The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

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The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

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