Answer:
Step-by-step explanation was 34
The number of gigabytes that Sydney can use while staying within her budget is less than 2.9 gigabytes.
<h3>What are
gigabytes?</h3>
gigabytes (GB) – pronounced with two hard Gs – is a unit of storage capacity equal to approximately 1 billion bytes. In decimal form (base 10), a gigabyte is exactly one billion bytes. In binary form, a gigabyte is 230 bytes or 1,073,71,82 bytes. Giga comes from the Greek word for giant. Werner Buchholz is credited with coining the term byte in 1956 and helped design IBM's 7030 Stretch, the first transistorized supercomputer.
gigabytes has been a common unit of measurement for data storage products since the mid-1980s. In recent years, terabytes (TB) have become a more common measure of storage capacity, especially for hard drives and solid-state drives.
To learn more about gigabytes, refer;
brainly.com/question/14722416
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Answer:
A = $3094.58
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Simple Interest Rate Formula: A = P(1 + r)ⁿ
- A is the final amount
- P is the principal amount
- r is the rate
- n is the time (in years)
Step-by-step explanation:
<u>Step 1: Define variables</u>
A = ?
P = 3020
r = 0.05
t = 6 months = 0.5 years
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute: A = 3020(1 + 0.05)^0.5
- Add: A = 3020(1.05)^0.5
- Evaluate: A = 3020(1.0247)
- Multiply: A = 3094.58
And we have our final answer!
<h3>
Answer: 2</h3>
==========================================================
Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
