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algol [13]
3 years ago
6

What is 1.0395 •10 to the 9th power

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0
1,039,500,000 or One billion, 39 million, 500 thousand.
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The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will
lakkis [162]

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

V(t) = 14651(0.81)^{t}

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

V(t) = 14651(0.81)^{t}

(0.81)^t = \frac{V(t)}{14651}

\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}

t\log{(0.81)} = \log{(\frac{V(t)}{14651})}

t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}

(a) $8000

V(t) = 8000

t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7

The car will be worth $1000 after 12.7 years.

5 0
2 years ago
URGENT. <br>Q) 18, 19, 20
notsponge [240]
18. s = 5r^2 + 7......making r the subject
      s - 7 = 5r^2
      (s - 7) / 5 = r^2...by taking the sqrt of both sides, it eliminates the ^2
     ( sqrt (s-7)/5) = r

19. h = ut - 1/2gt^2....u = 100, t = 1 4/5(or 9/5)...g = 6.4
      h = (100)(9/5) - 1/2(6.4)(9/5^2)
      h = 180 - 1/2(6.4)(3.24)
      h = 180 - 3.2(3.24)
      h = 180 - 10.368
      h = 169.632 or 169 79/125

20. sorry..do not know this one
4 0
2 years ago
Read 2 more answers
Compare 2/3 and 2/5 right one or both of the fractions so they have the common denominator use greater than less than or equal t
lora16 [44]

Answer:

10/15 & 6/15

Step-by-step explanation:

6 0
3 years ago
Need helps asap, im tryna get all of my work done today. So someone answer this fastt
xeze [42]

(4,-5) is Point C

(-5,-4) is point H

(1,-1) is point G

(3,4) is point P

(5,0) is point Z

3 0
3 years ago
Read 2 more answers
Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip t
AysviL [449]

Answer:

9 hours

Step-by-step explanation:

Let :

Landon hours = x

Ben hours = y

x + y = 14 - - (1)

60x + 56y = 820 - - - (2)

From (1)

y = 14 - x

60x + 56(14 - x) = 820

60x + 784 - 56x = 820

4x = 820 - 784

4x = 36

x = 36/4

x = 9

Landon drove for 9 hours

4 0
3 years ago
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