Answer:
y = lnx / ln 7.
Step-by-step explanation:
x = 7^y
Take logarithms of both sides:
ln x = ln 7^y
ln x = y ln 7 ( because ln a^b = b ln a. One of the Laws of Logarithms).
y = lnx / ln 7.
4 years=48 months
A new car costs 25,000, but she will get 13,000 for her used car as long as she takes good car of it. If she takes good care of her used car and gets 13,000 for it, she will only need to save 12,000 total. We can divide 12,000 by 48 to find out how much Courtney should save minimum each month to afford her new car. 12,000/48=250
You can check to see if this is correct by multiplying 48*250=12,000. Paying 250 for each month of the 48 months will equal the $12,000 that Courtney needs.
Courtney needs to save at least $250 per month to afford her new car in 4 years.
I hope this helps :)
15 x 1.59 = 23.85
Her order is between 20 euros and 34.99 euros. Therefore, she gets 2.5% discount.
2.5 x 23.85/ 100 = 0.60
That means she gets approximately 60 cents off her order.
Answer:
Step-by-step explanation:
Rotations are easy when its multiples of 90 degrees; 90,180,270,360. Treat them like they’re a complex number like [x+yi]*i=[-y,xi] so rotating by 90 degrees and 180 is i squared [-1]! So [-3,2] rot90 is [-2,-3].
Reflection about the y=x line is change places. [x.y]=[y,x].
So [-2.-3] reflected about the y=x line is [-2.-3]=[-3.-2],
Compile a list of these transform is best practice technique in this area.
The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.
