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goblinko [34]
4 years ago
5

Click the picture that I sent you

Mathematics
1 answer:
Digiron [165]4 years ago
5 0

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: P=P_oe^{kt}

  • P: final population
  • P₀: initial population
  • k: rate of decay (or growth)
  • t: time

Use the half life information to find k:

\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}

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3 years ago
Luna invested $8000 for 36 months at an interest rate of 4.8% per month. How much money will Luna have at the end of her investm
Degger [83]

Answer : $ 9, 152

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Let P = principal

T = time

r = rate

Using the simple interest,

\begin{gathered} I\text{ =}\frac{P\text{ x R x T}}{100} \\ P\text{ = \$8000} \\ r\text{ = 4.8\%} \\ t\text{ = 36 months} \\ 12\text{ months = 1 year} \\ 36\text{ months = x year} \\ \text{Cross multiply} \\ 12\cdot\text{ x = 1 x 36} \\ 12x\text{ = 36} \\ \text{Divide both sides by 12} \\ x\text{ = 36/12} \\ x\text{ = 3 years} \\ \text{Hence, t = 36 months = 3 years} \\ I\text{ = }\frac{8000\text{ x 3 x 4.8}}{100} \\ I\text{ = }\frac{115,\text{ 200}}{100} \\ I\text{ = \$1, 152} \end{gathered}

The total balance = Interest + principal

Balance = 1, 152 + 8000

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3 0
1 year ago
How many solutions does the system have? y=-5x-1 y=-5x+7
vesna_86 [32]

Answer:

Step-by-step explanation:

to do these types of problems, we must compare the slopes and the y int's

in y = mx + b form, the slope will be in the m position and the y int will be in the b position.

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y = -5x + 7....slope here is -5 and y int is 7

learn these....it really helps

if the slopes are the same, but the y int different, there is no solution because ur lines are parallel

if the slopes are different and the y int are different, then there will be one solution

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She spent 2 and a half hours doing extra work.

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3 years ago
There are128 pens full box.how many pens are in 7 box’s
harina [27]

Answer:

896

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There is a total of 896 pens in 7 box's

~

8 0
3 years ago
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