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maria [59]
2 years ago
15

If the original cost of a TV is 1250.00 but decreases by 4.5% each week, how many weeks before the TV will cost 800.00?

Mathematics
2 answers:
Naya [18.7K]2 years ago
8 0
800=1250(1-0.045)^t
Solve for t
t=log(800÷1,250)÷log(1−0.045)
t=9.7 weeks

Check
A=1,250×(1−0.045)^(9.7)
A=799.7=800
NeX [460]2 years ago
4 0
This is exponential growth/decay type problem...

F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case I=1250 and r=(1-.045)=0.955 so

F=1250(.955)^t  and we want to find t for when F=800 

800=1250(.955)^t

.64=.955^t  take the natural log of both sides...

ln.64=t ln.955

t=(ln.64)/ln.995

t≈9.69 weeks

t≈9.69 weeks (to nearest hundredth of a week)
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............................
prohojiy [21]
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

\frac{ 2^{2} x^{3} }{ y^{5} }
which simplifies to 
\frac{ 4 x^{3} }{ y^{5} }
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
\frac{4 (2)^{3} }{ (-4)^{5} }
which simplifies to 
\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}

Final Answer: - \frac{1}{32} [/tex]
4 0
3 years ago
Franklin saved money to buy art supplies
Nikolay [14]

<u>Question</u>:

Franklin saved money to buy art supplies. He used 1/5 of his savings to buy brushes. He used 1/2 of his savings to buy paint. What fraction of his savings does he have remaining?

Answer:

Franklin had  \frac{3}{10} of his saving left.

Step-by-step explanation:

Amount used to buy brushes = 1/5

Amount used to buy paint = 1/2

Solution:

Let the remaining amount  be x

then ,

x =  1- (amount used on buying brushes + amount used for buying paints)

x = 1- (\frac{1}{5} + \frac{1}{2})

x = 1- (\frac{2+5}{10})

x = 1- (\frac{7}{10})

x =\frac{10-7}{10}

x =\frac{3}{10}

8 0
3 years ago
1.
IrinaK [193]
You can evaluate / find

<span>8.64 x 10^6
-----------------
4.32 x 10^3

by first dividing 8.64 by 4.32 and then dividing 10^6 by 10^3:

2*10^3 (answer)

Please choose the question you want help with next, and post it separately.

</span>
7 0
3 years ago
doors for the small cabinet are 12.5 inches long. Doors for the large cabinet are 2.5 times as long as the doors from the small
Firlakuza [10]
Large cab doors= 12.5x2.5= 31.25in

1feet = 12in

12feet X 12 = 144in board

144 / 31.25 = 4.608

4 large doors can be cut

19in left over
4 0
3 years ago
What is the value of the constant in the equation that relates the height and
VashaNatasha [74]

Answer:

10 over=5

i asked this quetion

7 0
2 years ago
Read 2 more answers
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