Answer:
s = 4
Step-by-step explanation:
The equation for the line of best fit for the data is p=25s+40.
Where p is no. of points and s is no. fo strikes
We need to find the number of strikes made by a bowler with 140 points.
Put p = 140
p=25s+40
140 = 25s+40
Subtract 40 to both sides,
140-40 = 25s+40-40
100 = 25s
⇒ s = 4
So, there are 4 strikes made by a bowler with 140 points.
Second bubble reasoning a^3-4a^3=-3a^3
-2a^2+3a^2=a^2 hope this helps
The Compound Interest of 10400 at 12.7% for 4 years is 6378.
The principal amount is given as 10400.
The rate of interest is given as 12.7%.
The time period to be calculated is given as 4 years.
The compound interest for the given above is to be calculated.
<h3>What is
compound interest?</h3>
Compound interest is the interest that we earn both on the principal amount and the interest we earn.
The formula used to calculate compound interest is:
Where P = principal amount, R = rate of interest, and n = number of years.
We have,
P = 10400
R = 12.7%
n = 4 years
Compound interest:
Now,
10400 [ ( 1 + 0.12.7 )^2 - 1 ]
10400 [ 1.127^4 - 1 ]
10400 [ 1.61322 - 1 ]
10400 x 0.6132
6377.56
Rounding to the nearest whole number.
We have,
Compound Interest = 6378.
Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.
Learn more about Compound Interest here:
brainly.com/question/13155407
#SPJ1
If the sequence is quadratic, then the <em>n</em>-th term (<em>n</em> ≥ 1) is
We're given the first four terms,
Using the formula for the <em>n</em>-th term, this turns into a system of equations,
Solve the system:
• Eliminate <em>c</em> :
(4<em>a</em> + 2<em>b</em> + <em>c</em>) - (<em>a</em> + <em>b</em> + <em>c</em>) = 1 - (-4) ===> 3<em>a</em> + <em>b</em> = 5
(9<em>a</em> + 3<em>b</em> + <em>c</em>) - (<em>a</em> + <em>b</em> + <em>c</em>) = 12 - (-4) ===> 8<em>a</em> + 2<em>b</em> = 16
• Multiply the second equation by 1/2 to get 4<em>a</em> + <em>b</em> = 8, then eliminate <em>b</em> and solve for <em>a</em> :
(4<em>a</em> + <em>b</em>) - (3<em>a</em> + <em>b</em>) = 8 - 5 ===> <em>a</em> = 3
• Solve for <em>b</em> and <em>c</em> :
3<em>a</em> + <em>b</em> = 9 + <em>b</em> = 5 ===> <em>b</em> = -4
<em>a</em> + <em>b</em> + <em>c</em> = 3 - 4 + <em>c</em> = -4 ===> <em>c</em> = -3
Then the rule for the <em>n</em>-th term is
What we want to do here is make it long division. x²+2x+8 on the left, and
+x³+7x²-6x+8 on the right, as will be shown
x²
________________________________________
x²+2x+8|
+x³+7x²-6x+8
We start off by dividing
by x², which is x². After that, we put x² at the top and subtract (x²+2x+8)*(x²) from the whole equation, which looks like
x²
________________________________________
x²+2x+8|
+x³+7x²-6x+8
- (
+2x³+8x²)
_____________________
-x³-x²-6x+8. Continue this pattern until you can't (the next step would be dividing (-x³ by x²) and you should have your answer! Good luck, and feel free to ask any questions as necessary!