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Maksim231197 [3]
3 years ago
11

Help with 1 and 3 if possible show work

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0
1)

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+r\right)^{t}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$600\\
r=rate\to 1.6\%\to \frac{1.6}{100}\to &0.016\\
t=years\to &2
\end{cases}
\\\\\\
A=600\left(1+0.016\right)^{2}

3)

\bf V(t)=1350(1.017)^t\implies 
\begin{array}{llllll}
V(t)&=&1350(&1 +& 0.017&)^t\\
A&=&P(&1+&\boxed{r}&)^t
\end{array}

notice the rate "r"... now, is in decimal format, as you saw on 1) is just r/100 so 1.6% was really 1.6/100 or 0.016  anyhow

to get the percentage form, just multiply it by 100

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Solve the equations by factoring:<br><br>x^2−3x−40=0<br><br>4x^2−81=0
Alja [10]

Answer:

see explanation

Step-by-step explanation:

Given

x² - 3x - 40 = 0

Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)

The factors are - 8 and + 5, since

- 8 × 5 = - 40 and - 8 + 5 = - 3, thus

(x - 8)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x + 5 = 0 ⇒ x = 5

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

Given

4x² - 81 = 0 ← this is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

4x² - 81

=(2x)² - 9²

= (2x + 9)(2x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - \frac{9}{2}

2x - 9 = 0 ⇒ 2x = 9 ⇒ x = \frac{9}{2}

8 0
3 years ago
Read 2 more answers
Complete the table for the radioactive iotope. (Round your anwer to 2 decimal place. Iotope : 239 Pu
Marizza181 [45]

If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams

The half life in years = 24100

Consider the quantity of the radio active isotope remaining

y = Ce^{kt}

When t = 1000 the y = 1.2

y = C/2 when t = 1599

Substitute the values in the equation

C/2 = Ce^{24100k}

Cancel the C in both side

1/2 = e^{24100k}

Here we have to apply ln to eliminate the e terms

ln (1/2) = 24100k

k = ln(1/2) / 24100

k = -2.87× 10^-5

To find the initial value we have to substitute the value of k and y in the equation

1.2 = Ce^{1000 ×  -2.87× 10^-5}

C = 1.2 / e^(-0.0287)

C = 2.16 gram

Hence, the initial quantity of the radioactive isotope is 2.16 gram

Learn more about half life here

brainly.com/question/4318844

#SPJ4

7 0
1 year ago
1.On which number line are –4 and its opposite shown?2.Which of the following describes the location of the opposite of the numb
anzhelika [568]

Answer:

1. d

2. 2

Step-by-step explanation:

if it's a negative it's opposite will be a positive and vice versa

8 0
3 years ago
Here is a histogram showing
STatiana [176]

Answer:

84.3%

Step-by-step explanation:

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6 0
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Factor with steps please!!!
myrzilka [38]

So you want to find two numbers that add up to -13 and multiply to 40. You can find the factors of 40 and find the pair that adds up to -13. -8 and -5 multiply to 40 and add up to -13.

<span><span>(x−5)</span><span>(x−8)</span>=<span>x2</span>−13x+40</span>

You can use foil to test it

<span><span>x2</span>+<span>(−8x)</span>+<span>(−5x)</span>+40=<span>x2</span>−13x+40</span>

<span><span>x2</span>−13x+40=<span>x2</span>−13x+</span>
4 0
3 years ago
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