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maria [59]
3 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]3 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]3 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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cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite (V), in cubic feet, figure can be determined by this expression:

V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l (1)

Where:

r - Radius of the circle of the right cone, in feet.

h - Height of the cone, in feet.

w - Width of the cuboid, in feet.

H - Height of the cuboid, in feet.

l - Length of the cuboid, in feet.

If we know that r = 10\,ft, h = 10\,ft, w = 20\,ft, H = 7\,ft and l = 18\,ft, then the volume of the composite figure is:

V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)

V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}

V \approx 3567.198\,ft^{3}

The volume of the composite figure is approximately 3567.198 cubic feet.

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SpyIntel [72]

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