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kotykmax [81]
3 years ago
10

I need help with powers of ten

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0
  1. 10 power of 2 = 10×10=100
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Can you please help with this question about exponential equations?
RSB [31]

Since t represents the number of years passed since 2005, in 2005 we have t=0, and in 2015 we have t=10. Let P_J(y),P_D(y) represent the profits of Jones and Davis, respectively, at year y.

We have

P_J(2005) = 10(0.99)^0 = 10,\quad P_J(2015) = 10(0.99)^{10}\approx 9

P_D(2005) = 8(1.01)^0 = 8,\quad P_D(2015) = 8(1.01)^{10}\approx 9

Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor 0.99^t goes to zero as t grows.

On the other hand, Davis starts with a smaller value, but 1.01^t tends to infinity as t grows.

So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.

More precisely, we have

8\cdot 1.01^t = 10\cdot 0.99^t \iff 0.8 = \left(\dfrac{0.99}{1.01}\right)^t \iff t\approx 11

So, after 11 years, Davis will overcome Jones.

3 0
3 years ago
Determine the shaded areas part 2​
shutvik [7]

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

3 0
3 years ago
6а + 9 = 33<br> Need to solve
liq [111]

Answer: a=4

Step-by-step explanation:

6a+9=33

Subtract

6a=24

Divide

a=4

7 0
3 years ago
Read 2 more answers
Please solve question 2 e,f,g and h<br> THANK YOU
sveticcg [70]
E. x= 360-100-80-70=110

f. x= 360-85-40-65-75=95

g. x= 360-75-85-35-30-70= 65
3 0
2 years ago
Helppppp asappppp!!!!
PtichkaEL [24]

I misread it but it isn't too different

set .12/.45 = x/100

cross multiply to solve for x

change x from a % to a decimal (for example: 12%=.12)

and that should be it

6 0
3 years ago
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