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77julia77 [94]
3 years ago
10

Jessica bought a new television. The deal was attractive to her because she will be required to make interest-only payments on t

he $1,800 purchase for the first year. Assuming a 20% annual interest rate, how much interest will she pay over the course of the first year?
Mathematics
1 answer:
Radda [10]3 years ago
8 0

Answer:

30

Step-by-step explanation:

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
If g(x)=2(x-4), find the value of x if g(x) =20<br><br><br>A. 32<br>B. 12<br>C. 14<br>D. 10​
SOVA2 [1]
I think it is 32, bc the value of x is 20 so your problem would look like this; 2 ( (20) - 4 )
5 0
3 years ago
Please help me. Factor. 5x^+23x+26
Alexus [3.1K]
<span>Algebra Calculator | Latest | Discuss | About | Help | Translation</span>

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</span></span></span></span> <span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span>  x = 2 </span><span>  x = 13/5 = 2.600
</span></span>

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     5*x^2-23*x-(-26)=0 

Step by step solution :Skip Ad
<span> Step  1  :</span><span>Equation at the end of step  1  :</span><span> (5x2 - 23x) - -26 = 0 </span><span> Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 5x2-23x+26</span> 

The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  5 • 26 = 130</span> 

Step-2 : Find two factors of  130  whose sum equals the coefficient of the middle term, which is  <span> -23 </span>.

<span><span>       -130    +    -1    =    -131 <span>
</span> </span> <span>       -65    +    -2    =    -67 <span>
</span> </span> <span>       -26    +    -5    =    -31 <span>
</span> </span> <span>       -13    +    -10    =    -23    That's it</span></span>
4 0
3 years ago
Tom and his friends decided to go on a hiking gtrip. They started at 45 feet above sea level and went up the mountain at a rate
Phantasy [73]
What the question? Tell me then I can maybe help
5 0
3 years ago
5 to the root of five(3 to the root of 6 + the root of 6)
alexdok [17]
5\sqrt{5}(3\sqrt{6} + \sqrt{6})
5\sqrt{5}(4\sqrt{6})
20\sqrt{30}
7 0
3 years ago
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