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

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

7 0

2 years ago

What is the quotient of 45 divieded by 12

max2010maxim [7]

Your answer would be 3.75.

3 0

3 years ago

Read 2 more answers

Can someone please. Heck my answer if it’s wrong please answer it correctly and please show work first pic is the question and 2

PIT_PIT [208]

Answer:

Correct

Step-by-step explanation:

4y = 3x Divide each side by 4

4y ÷ 4 = 1y

3x ÷ 4 = 0.75x

12y = 9x Divide each side by 12

12y ÷ 12 = 1y

9x ÷ 12 = 0.75x

We can see in both equations that 1y = 0.75x

(1y = just y) So the constant of proportionality can be written as y = 0.75x

All of your explanations and descriptions are accurate.

8 0

3 years ago

PLEASE HELP URGENTLY! ASAP RIGHT ANSWERS WILL BE MARKED BRAINLIEST!!!

WINSTONCH [101]

Answer:

Step-by-step explanation:

the formula for the circumference of a circle is 2rπ

the formula for the area of a circle is (r^2)π

the formula for the diameter of a circle is 2r

π=3.14

---------------------------------------------------------------

1. diameter =2r. since diameter=24, r=12

2. circumference=2rπ. since circumference = 314. 314=2rπ r=49.9746

3. circumference=2rπ area=(r^2)π

since r=7, circumference=14π=43.98229 since r=7, area is 49π=153.9380

4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before: circumference=20π=62.8318 and area=100π=314.15926

5. the formula for the diameter is 2r=d 2(18)=d, 36=d

6. 2rπ=circumference = 2(5)π=10π=31.415926

Hope that helps :)

8 0

3 years ago