MATHEMATICS HIGH SCHOOL

Simplify the expression.
-50 + 3r + 50 - 3r

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Group like terms= 3r-3r-50+50

Add similar elements= -50+50

Answer=0

I hope this helps!

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There is 12 inches in 1 foot and there is 5,280 feet in one mile. Elena ran 3-1/4 miles. How many feet is that?

Answers

Answer: The values is 2.5 miles converted to 158,400 inches

Step-by-step explanation:

12 inches = 1 foot and

5280 feet = 1 mile

Convert 2.5 miles to inches

Convert inches to feet :

5280 feet is equivalent to 1 mile

x = 2.5 miles

x = 5280 x 2.5

x = 13200 feet

Then convert 13,200 feet to inches

Because 12 inches is equivalent to 1 foot

x = 13200 feet

x = 12 x 13200

x = 158,400 inches

Therefore 2.5 miles converted to inches is 158,400 inches

The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius. Which week had greater variability in high temperature? Explain your reasoning.

Answers

The required week that had greater variability in high temperature is week 2.

Given that,
The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius.

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The system of observation that has a higher mean absolute deviation, will have the chance of greater variability in high temperature. So,
mean absolute deviation of week 1 = 1
mean absolute deviation of week 2 = 1.91
MAD of week 2 > MAD of week 1

Thus, the required week that had greater variability in high temperature is week 2.

Learn more about Statistics here:
brainly.com/question/23091366

#SPJ2

Answer:

mean 4.86

MAD = 1.91

Step-by-step explanation:

4) How old am I if 500 reduced by 4 times
my age is 1402

Answers

Answer:

Step-by-step explanation:

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.If interest rates stay at 4% APR and I continue to make my monthly $50 deposits into my retirement plan, I should have at least $30 comma 000 saved when I retire in 25 years.

The statement ___________ because I will have $ ___________ nothing in my retirement account when I retire in 25 years.
(Round to the nearest cent as needed.)

Answers

Answer:

False

$25,706.48

Step-by-step explanation:

The annual percentage rate (APR) is 4%, so the monthly rate is 4%/12 = ⅓%.

25 years = 300 months.

The monthly deposit (annuity) is $50.

The future value of the annuities is:

F = A [(1 + i)ⁿ − 1] / i

Given i = 1/300, A = 50, and n = 300:

F = 50 [(1 + 1/300)³⁰⁰ − 1] / (1/300)

F = 25,706.48

The statement is false. The amount after 25 years is less than $30,000.

Final answer:

The statement doesn't make sense because if you make $50 monthly deposits at a 4% APR for 25 years, you will have approximately $41,981.86 in your retirement account, not only $30,000.

Explanation:

The statement does not make sense or is clearly false. Let's add up the total deposits over 25 years and calculate the interest gained using the given annual percentage rate (APR) of 4%.

Total deposits = $50/month * 12 months/year * 25 years = $15,000
Using formula for compound interest, Final Value = P (1 + r/n)^(nt) where P is principal amount (initial investment), r is annual interest rate (decimal), n is number of times that interest applied per time period, t is time the money is invested for. In this case, P=$50, r=4%/12/100%=0.003333, n=1 (monthly), t=12*25=300. After calculations, the final value comes to approximately $41,981.86

Therefore, if you continue to make $50 monthly deposits with a 4% APR for 25 years, you will have just under $41,981.86 in your retirement account, not $30,000 as stated. So, the statement is inaccurate.