Answer:
-1/18
Step-by-step explanation:
I hope this helps you
x=3. (27x+2)
x=81x+6
80x=-6
x=-3/40
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
Using the simple interest formula, it is found that the APR for the loan is of 4.472%.
<h3>What is the simple interest formula and when it is used?</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:

In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
The parameters for this problem are:
A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.
We solve the equation for r to find the APR.



1 + 0.5r = 1.02236
r = (1.02236 - 1)/0.5
r = 0.04472.
More can be learned about simple interest at brainly.com/question/25296782
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Answer:
Approximately 42 times larger
Step-by-step explanation:
The diameter of a sphere is 2,160 mm.
The diameter of a second sphere is 7,520 mm.
To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:


To see how many times larger the volume is, we cube both sides

This implies that

Therefore the volume of the second sphere is approximately 42 times larger