The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
Answer:
140p calories
Step-by-step explanation:
Bianca is said to have jogged km 8 days, while also completing 1.25 miles every day. First, we calculate the total number of miles Bianca jogged in total, and that is
8 * 1.25 = 10 miles
Therefore, Bianca jogged a total of 10 miles the previous month.
Again, it is said that Bianca burned 140 calories per each mile she jogged and were asked to find the total calories that was burnt.
If Bianca burns 140 calories per mile, then she must have burnt 140 * 10 calories in 10 miles.
Therefore, we conclude that Bianca burnt 1400 calories.
Since the triangle is an equilateral triangle we know all of it's sides must be the same length, with that in mind the angles that make up the triangle must be equal as well. Knowing that a triangle's three interior angles make up 180 degrees we know that the size of each angle must be one third of this (as each angle must be equal).
180/3 = 60
then we may split the triangle along it's altitude into two special right triangles
more specifically two 30-60-90 triangles.
this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"
this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.
12= x*sqrt(3)
12/sqrt(3)=x
4sqrt(3)=x (simplifying the radical we get "x" equals 4 square root 3)
now we may solve for the side length of the triangle which is "2x"
2*4sqrt(3) -> 8sqrt (3)
eight square root of three is the answer.
Okay. So, we should convert fractions to the least common denominator, which is 20. That would be 2 5/20 and 2 16/20. Add both of those numbers up to get 5 1/20. Taylor ran and walked 5 1/20 miles.
The total of all angles are 360 degrees for a parallelogram. One angle is 10 and the one opposite is also 10. B = 340/2=170 degrees
