$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}$

$5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}$

4 0

2 years ago

Why does HIV attack T cells

-BARSIC- [3]

Answer:

The reason HIV attacks T cells are because T cells produce antibodies that kill HIV.

Step-by-step explanation:

Your white blood cells help to fight off infection, The reason HIV attacks T cells are because T cells produce antibodies that kill HIV. Its like a battle between the two. HIV wants to stay there and T cells are trying to get rid of it so T cells are HIV main target.

8 0

3 years ago

Sketch a line with a slope of -2 and another with a slope of -4

WINSTONCH [101]

Answer:

Step-by-step explanation:

Try and become familiar with a program like Desmos. It will do wonderful things for you.

I have graphed

Red: y = -2x + 5 (The 5 is the y intercept. For this question it could be anything.

Blue: y = - 4x + 5 Same note as above.

4 0

3 years ago

5 to the negative 3rd power ​

5 to the negative 3rd power