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3 years ago

How do you put 2 and 3 quarters in inches what i mean is like 2.4 or 3.2 or whatever

Mathematics

1 answer:

Phantasy [73]3 years ago

6 0

To put 2 3/4 in decimal form you make the fraction into a decimal by dividing.

So 3/4=0.75

So 2 3/4 = 2.75

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A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago

If 1 inch = 2.5 centimeters, how many centimeters are there in 40 inches

alekssr [168]

100 centimeters . Because 40 × 2.5 = 100

6 0

3 years ago

Alex $8000 in a savings account that earns 3.25 % annually. How much will he earn in interest in 6 months?

kotegsom [21]

<h3>Answer: $130</h3>

=======================================================

Explanation:

I'm assuming the bank is using simple interest (instead of compound interest).

If so, then,

i = P*r*t

i = 8000*0.0325*0.5

i = 130

The amount of interest is $130

In the formula above, I used

P = 8000 = amount deposited
r = 0.0325 = annual interest rate in decimal form
t = 6/12 = 0.5 years, which means you don't use t = 6. We don't use t = 6 because the interest rate is on an annual basis, and not a 6-month basis.

6 0

2 years ago

Trigonometry

ozzi

Answer:

3√3

Step-by-step explanation:

If sinx = 4/8, find Cos (6x)

we need to first find cos

but applying trigonometry rule

sin²x+cos²x = 1

sinx = 4/8

sin²x = (4/8)² = 4²/8² = 16/64

from the rule

cos²x= 1 -sin²x = 1-16/64 = 64-16/64 = 48/64 = 3/4

cos²x = 3/4

cos x = √3/4 = √3/2

cos 6x = 6 x √3/2 = 3√3

3 0

3 years ago

Which ratio is equivalent to 3:3?

victus00 [196]

Answer:

6:6 / 3:3 / 9:9

Step-by-step explanation:

1st answer: Divide both sixes by 2

2nd answer: Multiply by 1, it will be the same answer

3rd answer: Multiply both threes together

Hope this helped

3 0

3 years ago