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Hatshy [7]
1 year ago
8

Jim thinks that the value of a baseball card can be modeled by a decay formula and that the value will decrease at a rate of 0.2

% each year. The card was originally valued at $250 in 2007.
What would Jim expect the value of the card to be in 2018?
Mathematics
1 answer:
Sindrei [870]1 year ago
6 0

Answer: $244.55

A = $250  ;  r=0.002   t= 11   [From 2007 to 2018 , t=2018-2007]

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-2x+5y-6x-4y = -8x + y
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To hang lights up on his house.Garrett place is a 14 foot ladder 4 feet from the base of the house. How high up the house will t
Firlakuza [10]

This seems like a right triangle problem.

So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (a^{2} +b^{2} =c^{2}) to solve for the height of the house, in which we shall name it x.

So, the equation is 4^{2} +x^{2} =14^{2}.

Solve for x:

16+x^{2}= 196

x^{2}= 196-16

x^{2}= 180

x = 6√5 feet


Hope this helps!

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3 years ago
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If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x
Virty [35]

Answer:

1) 5

2) 5

Step-by-step explanation:

Data provided in the question:

(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)(x^y)

Now,

on simplifying the above equation

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)(x^y)

or

⇒  (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)(x^y)

or

⇒ (\frac{3^{27}}{3^{28}})(\frac{5^{10}}{5^8})z=x^y

or

⇒(\frac{5^2}{3})z=x^y

or

⇒\frac{5^2}{3}=\frac{x^y}{z}

we can say

x = 5, y = 2 and, z = 3

Now,

(1) y is prime

since, 2 is a prime number,

we can have

x = 5

2) x is prime

since 5 is also a prime number

therefore,

x = 5

8 0
3 years ago
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