Starting with 113+ (2x+5)=180, combine like terms and to get 118+2x=180. Subtract 180-118, which gives you 62. Then you have 2x=62. Divide both sides by 2 to get a final answer of x=31.

8 0

3 years ago

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model

Helga [31]

$\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill$

$A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}$

7 0

2 years ago

The price of an item has been reduced by 40%. The original price was $66. Find the price of the item now.

serious [3.7K]

Answer:

$39.60

Step-by-step explanation:

We are finding 66 - 40%

66 less 40% = 60% of 66

60% of 66 is the price of the item now.

Convert 60% to decimal form by dividing by 100.

60%/100 = 0.60

Multiply the decimal form by 66

66 X 0.6 = 39.60

Since we are dealing with money, keep 2 decimal places, even if the last digit is 0.

The price of the item now is $39.60.

7 0

3 years ago

Help me I need the math problem

miss Akunina [59]

Answer:

y=4x-3

Step-by-step explanation:

5 0

2 years ago

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