The answers are shorter, higher, 2cm, 15cm, 20% and 15%.
Step-by-step explanation:
Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.
% error = (difference in values / actual value) × 100
Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.
Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.
% error = (difference in values / actual value) × 100
Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.
Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.
The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.
<h3>What is compound interest?</h3>
The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.
The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.
Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.
Using the formula A = P(1 + r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)^(1/nt) - 1]
r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]
r = 0.1
Then convert r to R as a percentage
R = r × 100
R = 0.1 × 100
R = 10%/year
Learn more about compound interest
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Answer:
The experimental probability can be expressed in three ways:
Fraction Form: 3/6 or 1/2
Decimal Form: 0.5
Percent Form: 50%
Step-by-step explanation:
Experimental probability is expressed as:
<em>(Favorable outcomes) / (Total outcomes)</em>
The favorable outcome in this situation is blubbery muffins. There were 3 blueberry muffins sold, so this is the <u>numerator</u> of our fraction.
To find the total outcomes we add 3 + 3, which equals 6. This will be the <u>denominator</u> of our fraction.
The fraction used to express experimental probability will look like this: 3/6
We can further simplify this to 1/2.
3 ÷ 3 = 1
6 ÷ 3 = 2
To find a decimal, we divide 1 ÷ 2 = 0.5
Multiply this by 100 to get a percentage, 0.5 x 100 = 50%
Step-by-step explanation:
3x+5=44
3x=44-5
3x=39
x=39÷3
x=13
Answer: A
Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.
