The formula to finding percentages is x% * y = c. So 7% of $4.90 is 0.343.
( 7% is 0.07)
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
Answer:
$4600
Step-by-step explanation:
Write an equation to represent the problem.
Interest is calculated by multiplying the interest rate with the investment. <u>Multiplying each of the rates</u> (2%, 7% and 9%) <u>in decimal form with the investment amount is equal to the annual interest</u>, (828).
Convert a percentage to decimal form by dividing by 100:
2% ÷ 100 => 0.02
7% ÷ 100 => 0.07
9% ÷ 100 => 0.09
let "P" represent the amount of money for the total investment
0.02P + 0.07P + 0.09P = 828
Use the equation to solve for "P". Simplify by collecting like terms (numbers that have the same variable) then isolate "P" by moving the other numbers to the right side. To move a number to the other side, do it's reverse operation to both sides of the equation. (The reverse of multiplying is dividing).
0.02P + 0.07P + 0.09P = 828 Collect like terms
0.18P = 828 Isolate "P"
0.18P/0.18 = 828/0.18 Divide both sides by 0.18
P = 828/0.18 "P" is isolated because 0.18 cancelled out. Simplify.
P = 4600 Total investment
Therefore the total investment is $4600.