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Ket [755]
3 years ago
11

If the population of a country is growing at a rate of 2.2% compounded

Mathematics
1 answer:
Stells [14]3 years ago
4 0
It will take 31.9 years.

The general form of this equation is

y = a(1+r)ˣ, where y is the total population, a is the initial population, r is the growth rate as a decimal number, and x is the amount of time.  For our problem, we have

120000 = 60000(1+0.022)ˣ

[The 120,000 is because we are doubling the 60,000 population]

Dividing both sides by 60,000,

120000/60000 = 60000(1+0.022)ˣ/60000
2 = 1.022ˣ

Using logarithms to solve this, we have
log_{1.022}2=x
\\
\\31.85=x
\\
\\31.9\approx x
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Can someone explain scientific notation to me? And also another question. Is 9.725 x 10^6 a scientific notation? What about 9.72
ELEN [110]

Both of those values are in scientific notation

Scientific notation is when we have numbers of the form a \times 10^b where 0 \le a < 10 and b is an integer.

Both 9.725 and 9.7250 are inside the inequality mentioned above.

Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.

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

If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.

We go from 9.725 to 9,725,000 which is about 9.7 million

In other words, 9.725 \times 10^6 = 9,725,000

As another example, 1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion} since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.

6 0
2 years ago
HELP! WILL GIVE BRANLIEST!! No links please!
Whitepunk [10]

Answer:

x=23

m<1=161

m<2=19

Step-by-step explanation:

7x+x-4=180

8x+4=180

8x=184

x=23

m<1: 7(23) = 161

m<2: (23-4) = 19

6 0
3 years ago
A baker can decorate 5 cakes in 100 minutes. What is his rate per hour?
kotegsom [21]

5 cakes / 100 mins = 0.05 cakes / min

0.05 cakes * 60 mins = 3 cakes / hour

4 0
4 years ago
Read 2 more answers
Two glasses of milk and 4 snack bars have a total of 76 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a tot
galina1969 [7]

Answer:

10 carbs in snack bars

14 carbs in milk

Step-by-step explanation:

Glasses of Milk = m

Snack Bars = s

I am going to make this a system of equations:

2m + 3s = 58

4m + 2s = 76

I am going to simplify one of them for a s:

4m + 2s = 76

2s = 76 - 4m

s = 38 - 2m

I am going to insert this into the other equation:

2m + 3s = 58

2m + 3(38 - 2m) = 58

2m + 114 - 6m = 58

(-4)m + 114 = 58

(-4)m = -56

m = 14 calories

I am going to plug this m into one of the equations (doesn't matter which):

2(14) + 3s = 58

28 + 3s = 58

3s = 30

s = 10

You can plug these values back into each of the equations to make sure they work.

Hope it helps! UvU

4 0
3 years ago
Two third of a number is 5 more than half of its what is the number ​
weeeeeb [17]
I need help on that to
8 0
3 years ago
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