what is the answer to 18 2/5 - 9 13/ 15 andb 28 3/9 - 19 5/6. Plz help her now!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1 answer:
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1) 155.91 grams would be left after 10 years
2) The population would be 376,478 in 2040
Step-by-step explanation:
The form of the exponential function is , where
- a is the initial amount (y at x = 0)
- b is the growth/decay factor
- b = 1 + r, where r is the rate of growth
- b = 1 - r, where r is the rate of decay
1)
Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%
∵ The initial amount is 500 grams
∴ a = 500
∵ The annual decay rate is 11%
∴ r = 11% = 11 ÷ 100 = 0.11
∵ b = 1 - r ⇒ decay
∴ b = 1 - 0.11 = 0.89
- We need to find how many grams of the sample would be left
after 10 years
∴ x = 10
- Substitute all of these values in the form of the exponential function
∵
∴ y = 155.9085996
- Round it to 2 decimal places
∴ y = 155.91
155.91 grams would be left after 10 years
2)
In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year
∵ The population of an Ohio town was 140,212
∴ a = 140.212
∵ The population is expected to grow at a rate of 2.5% each year
∴ r = 2.5% = 2.5 ÷ 100 = 0.025
∵ b = 1 + r ⇒ growth
∴ b = 1 + 0.025 = 1.025
- We need to find the population in 2040
∵ The number of years is 2040 - 2000 = 40 years
∴ x = 40
- Substitute all of these values in the form of the exponential function
∵
∴ y = 376478.1709
- Round it to the nearest whole number
∴ y = 376,478
The population would be 376,478 in 2040
Learn more:
You can learn more about the functions in brainly.com/question/11921476
#LearnwithBrainly
Answer:
a. Not Divisible
b. Divisible
c. Divisible
d. Divisible
e. Divisible
Step-by-step explanation:
To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.
Let's begin with a:
by 33
We now then divide the total amount with 33.
= 31,781.5454
We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.
Now let's continue on with the others.
by 25
We now then divide the total amount with 25.
= 35,192,575,602
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 25.
Next on we have:
by 7
As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.
We now then divide the total amount with 7.
= 375
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 7.
by 11
We now then divide the total amount with 11.
= 12,005
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 11.
Last but not the least:
by 24
We now then divide the total amount with 24.
= 476,837,158,203,125
The total value did NOT return a decimal point, therefore making the equation true. IS divisible by 24.