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ss7ja [257]
2 years ago
6

I need help with questions 3 and 4

Mathematics
1 answer:
nlexa [21]2 years ago
6 0

Step-by-step explanation:

3)

7billion = 5 {e}^{15r} \\ 1.4billion =  {e}^{15r}  \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404

4) \\  t = 0  \: y= 200 \\200 = a {e}^{0}  \\ a = 200 \\ 800 = 200 {e}^{8k}  \\ 4 =  {e}^{8k}  \\ ln(4) = 8k \\ k = 0.1733

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Jim and Mark left a 20% tip after having lunch at a restaurant. The amount of the tip was $12. Mark's lunch cost $16. Write an e
Vlad1618 [11]

Answer:

$44

Step-by-step explanation:

Use formula

% out of 100/100% = part/whole

20%/100 = 12/16+x

Cross multiply

(12)(100) = (20)(16+x)

1200=320+20x

Solve for x

1200-320 = 20x

880 = 20x

880/20 = x

44 = x

Jim's lunch was $44.

8 0
3 years ago
The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the s
IRINA_888 [86]

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

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3 years ago
Read 2 more answers
What is the rate of change of the function described in the
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5 because if you multiply the previous value by 5, you get the next answer
5 0
4 years ago
Claris invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed fr
just olya [345]

Answer:

$8.40

Step-by-step explanation:

The formula for calculating simple interest is

principal * interest rate * time .

Plugging 140 into the principal, or starting value, 3% as the interest rate, and 2 (years) for the time, we get 140*0.03*2 = 8.4, or $8.40 as our answer. Note that 3% turned into 0.03 as turning a percentage into a decimal requires us to divide the decimal by 100

7 0
3 years ago
Find the number from the expanded form 3* 10^4 + 7 x 10^2 + 5 x 10^0
Aleonysh [2.5K]

Answer:

A)30705

Step-by-step explanation:

3* 10^4 + 7 x 10^2 + 5 x 10^0

Evaluate the exponent

3⋅10^4+7⋅10^2+5⋅10^0

3⋅10000+7⋅10^2+5⋅10^0

Multiply the numbers

3⋅10000+7⋅10^2+5⋅10^0

30000+7⋅10^2+5⋅10^0

Evaluate the exponent

30000+7⋅10^2+5⋅10^0

30000+7⋅100+5⋅10^0

Multiply the numbers

30000+7⋅100+5⋅10^0

30000+700+5⋅10^0

Evaluate the exponent

30000+700+5⋅10^0

30000+700+5⋅1

Multiply the numbers

30000+700+5⋅1

30000+700+5

Add the numbers

30000+700+5

30705

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3 years ago
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