John's effective annual rate is about
(1 +.0576/4)^4 -1 ≈ 5.8856%
According to the "rule of 72", John's money will have doubled in
72/5.8856 = 12.23 years
John's balance will be $4500 in 1989.
_____
Since you're only concerned with the year (not the month), you don't actually need to determine the effective annual rate. The given rate of 5.76% will tell you 72/5.76 = 12.5 years. The actual doubling time is closer to 12.12 years, so using the effective rate gives results that are closer, but "good enough" is good enough in this case.
Answer:
70 is answer
Step-by-step explanation:
Given that a function in x is

we have to find f'(7)
we know by derivative rule derivative of a function is

For finding out at 7 we replace x by 7

=
So f'(7) = 70
answer is 70
Answer: it is D and if it is wrong then it doesn’t look like this question was finished.
Step-by-step explanation:
<em>Find Slope:</em>
y = -x + 3
slope = -1
Perpendicular slope = 1
<em>Sub Slope into Equation </em>
y = mx + c
Found that m = 1 (slope = 1)
y = x + c
<em>Find C</em>
At (-1,3)
3 = (-1) + c
c = 3 + 1
c = 4
<em>Sub C into the equation </em>
y = x + 4
Answer:
d = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
d/2 = 6
<u>Step 2: Solve for </u><em><u>d</u></em>
- [Multiplication Property of Equality] Multiply 2 on both sides: d = 12