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Liula [17]
3 years ago
12

I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help

me! Will mark you as brainiest!

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

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1/3x² + x+5/3x² = 1/9<br><br>HAHAHAHA......​
mr_godi [17]

Answer:

Now, 3x 2+x+5⩾0

This is because b² −4ac=1−4×5×3

=−59 (roots are imaginary)

3x²+x+5=(x−3)² =x²+9−6x and x−3⩾0

2x²+7x−4=0

2x²+8x−x−4=0

2x(x+4)−1(x+4)=0

(2x−1)(x+4)=0

x= 1/2 and−4 but x≥3

∴ No solution.

lol hehehe

7 0
2 years ago
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Fill in the blank to make the two fractions equivalent.<br><br> 3/7=blank/42
Sidana [21]

Answer:

18/42

Step-by-step explanation:

Find the common factor of the denominators i.e the common factor of 7 and 42. The answer is 6. Multiply the fraction with the smallest denominator by the common factor (3/7 ×6/6) answer is 18/42

Hope you understand

3 0
3 years ago
The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh
Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is<em> 300 times larger than the virus.</em>

We know that:

The diameter of the virus-cell is:

D_v = 3 \cdot 10^{-9} m

The diameter of the bacteria cell is:

D_b = 9 \cdot 10^{-7} m

So, to compare them, first notice that both are in the same units, meters, so we only need to <u>compare the numbers</u>.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus <u>the bacteria should be the larger one.</u>

But let's prove this with math, remember the property:

\frac{a^n}{a^m} = a^{n - m}

Let's take the quotient between the diameters and see what we get, I will use the <u>diameter of the bacteria in the numerator</u>, thus <u>if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.</u>

quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m}  = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

8 0
2 years ago
If p is the midpoint of line xy, xp=11-6b and py=6-b, find xp
MariettaO [177]
Since p is the midpoint then xp and pay must equal each other
So, 11-6b=6-b
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11-6b=6-b
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xp=11-6(1)
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5 0
3 years ago
HELP IN NUMBER 12 ...!
olasank [31]
The answer is 69.45
hope this helps :)
6 0
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