<span>Here is the answer, hope this helps
21
35
49
63
77</span><span />
Answer:
e = 7
Step-by-step explanation:
Eliminate parentheses using the distributive property.
18e -48 = 5e +43
13e -48 = 43 . . . . . . . . subtract 5e from both sides
13e = 91 . . . . . . . . . . . . add 48 to both sides
e = 7 . . . . . . . . . . . . . . divide both sides by 13
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<em>Comment on equation solving</em>
If there are parentheses or fractions, it usually works well to eliminate those. The distributive property is used to eliminate parentheses. Fractions can be eliminated by multiplying the equation by the denominator. (We mean 'multiply both sides of the equation by the denominator'.) If you have excellent skill with arithmetic using fractions, you don't need to go to the trouble to eliminate them.
After the numbers in the equation are mainly integers or decimals, the next step is to look to see where the variable of interest is located. You want to do what it necessary to put all of the variable terms on one side of the equal sign, and everything else on the other side. The procedure generally is to decide what you don't want, and subtract that from both sides of the equation.
Finally, you divide by the coefficient of the variable, so the variable stands alone on one side of the equal sign. This shows you the solution.
Answer:
9, 12, 15
Step-by-step explanation:
Using the recursive formula and T₁ = 6 , then
T₂ = T₁ + 3 = 6 + 3 = 9
T₃ = T₂ + 3 = 9 + 3 = 12
T₄ = T₃ + 3 = 12 + 3 = 15
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
Answer:
You find the base and height then divide by 2
Step-by-step explanation:
