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luda_lava [24]
3 years ago
14

50 POINTS I NEED HELP!!!!!! I will mark the brainliest!!!

Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

The approximate year that the two ad revenues were equal is halfway

Step-by-step explanation:

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Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1
crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is r=10\%

Future value is given by s=1000e^{0.1t}

For the investment to double itself, i.e. s=2000

\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}

It takes around 6.93 years to double the investment.

8 0
2 years ago
Simplify (4x^2-7x+14)(3x+5x^2-6)<br> Please show work
tatiyna

Answer:

-23x^3+20x^4+25x^2+84x-84

Step-by-step explanation:

1 Expand by distributing sum groups.

4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)

2 Expand by distributing terms.

12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)

3 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)

4 Expand by distributing terms.

12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84

5 Remove parentheses.

12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84

6 Collect like terms.

(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84

7 Simplify.

-23x^3+20x^4+25x^2+84x-84

4 0
2 years ago
Find the value of the expression<br><br> 9.18 · z<br><br> for z = 2.
loris [4]

Answer: 18.36

Step-by-step explanation:

Replace "z" with "2":

9.18 \cdot 2 = \boxed{18.36}.

8 0
3 years ago
Write the following in expanded exponential form a. 30405
lana [24]

Answer:

30000+0+400+0+5

6000000+800000+0+4000+100+50+2

Step-by-step explanation:

hope it's right plz mark me brainlists

7 0
2 years ago
A car drvies at a speed of 60 mph for 30 minutes. Calculate how far it travles
Studentka2010 [4]

Answer:

30 miles

Step-by-step explanation:

Distance = speed x time

30 minutes can be considered as ½ an hour.

60 x ½=30miles

8 0
3 years ago
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