Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
The effective rate of interest will be 9.10 %.
<h3>What is compound interest?</h3>
Compound interest is applicable when there will be a change in principle amount after the given time period.
Let's say you have given 100 for two years with a 10% rate of interest annually than for the second-year principle amount will become 110 instant of 100.
Given for simple interest
Principle amount = $650
Rate of interest = 12%
Time period = 7 months.
Interest= PRT/100
Interest= 650× 12 × 7/100 = 546
So final amount = 650 + 546 = $1196
By compound interest
1196 = 650![[1 + R/100]^{7}](https://tex.z-dn.net/?f=%5B1%20%2B%20R%2F100%5D%5E%7B7%7D)
R = 9.10%
Hence the effective rate of interest will be 9.10%.
For more information about compound interest,
brainly.com/question/26457073
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Answer:
b
Step-by-step explanation:
Given
x³ + 5x² - 9x - 45 ( factor the first/second and third/fourth terms )
= x²(x + 5) - 9(x + 5) ← factor out (x + 5) from each term
= (x + 5)(x² - 9) ← factor as a difference of squares
= (x + 5)(x - 3)(x + 3)
Answer:
believe it's G, I hope that's correct for you
Answer:
8
Step-by-step explanation: