Answer:
Explanation:
slope intercept form: y = mx + b
where m is slope and b is y-intercept.
Answer:
See below in bold.
Step-by-step explanation:
Total = A(1 + r/n)^nt where A = initial amount , t = number of years, r = the rate (as a decimal fraction) and n = number of payments a year. So:
Total after 1 year = 8000(1 + 0.09/2) ^ 1*2
= RS 8736.20.
Compound interest = RS 736.20
To solve this you will you the Pythagorean Theorem.
the equation for the Pythagorean Theorem is a²+b²=c².
fill in the information you have:
a²+3²=5²
now solve for a:
a²+9=25
-9 -9
a²=16
√a²=√16
a=4
The length of the side a of the right triangle is 4.
Hope I helped...
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So there are five candy bars.
Herself and two sisters equals 3 people in total.
This is a graph of 5 candy bars, each line being 1/2.
━ ━
━ ━
━ ━
━ ━
━ ━
If she ate half of one... the graph would become this.
━ ━
━ ━
━ ━
━ ━
━
Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.
Each person gets 3 halves, or 1 and 1 half.
Mai: ━ ━ ━
Sister 1: ━ ━ ━
Sister 2: ━ ━ ━
Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.
The amount Mai ate in the first place: ━
9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.
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Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
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-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1