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yuradex [85]
3 years ago
11

Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 60 grams, how much of the element would remain after 30 years, to the nearest whole number?
Mathematics
1 answer:
Nana76 [90]3 years ago
8 0

Answer:

2,325 grams !

Step-by-step explanation:

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The globe used in social studies class has a diameter of 42 centimeters, What is its volume
Leni [432]

Answer:

Step-by-step explanation: pi r^2

so 42/2 equals 21 radius

volume=22/7 x 21^2

v=1385

5 0
3 years ago
Read 2 more answers
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
harkovskaia [24]

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0
3 years ago
the value of y varies directly proportional to the value of x. When x = 50, the value of y= 2500. What is the value of y, when x
USPshnik [31]

Answer:

The required value of y is 4800

4 0
3 years ago
Solve for x. 89(54x−36)+2=−34(−40+16x)+90x
krok68 [10]
Eliminate parentheses using the distributive property.
  4806x -3204 +2 = 1360 -544x +90x
  5260x = 4562
  x = 4562/5260
  x = 2281/2630
7 0
3 years ago
Find the final amount. ​$4000 invested at 11​% APR compounded quarterly for 5 years The final amount is ​$ nothing. ​(Do not rou
Angelina_Jolie [31]
<h3>The final amount is $ 6881.71</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1 + \frac{r}{n})^{nt}

Where,

A = the future value of the investment

P = the principal investment amount\

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 4000

t = 5

r = 11 \% = \frac{11}{100} = 0.11

n = 4 ( compounded quarterly )

<em><u>Substituting the values in formula,</u></em>

A = 4000(1 + \frac{0.11}{4})^{4 \times 5}\\\\ A = 4000( 1.0275)^{20}\\\\A = 4000 \times 1.720428\\\\A = 6881.7137 \approx 6881.71

Thus the final amount is $ 6881.71

5 0
3 years ago
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