Given:
Leela invests 500 at 4.5%
VI = 500 x 1.045^t
Adele invests 500 at 4.5% but 2 years before Leela invested
Vi = 500 x 1.045^2+t
<span>The total value of Adele’s account is approximately what percent of the total value of Leela’s account at any time, t?
</span>
[500 x 1.045^2+t / 500 x 1.045^t] * 100%
1.045² x 100% = 1.092 x 100% = 109.2%
To check: t =1
Adele: 500 x 1.045^2+1 = 500 x 1.045³ = 570.58
Leela: 500 x 1.045^1 = 500 x 1.045 = 522.50
570.58 / 522.50 = 1.092
1.092 x 100% = 109.20%
Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
The first step is:
- determine how far from the house is young equestrian at noon.
2 x 10 = 20 miles
15 t = 20 + 10 t
15 t - 10 t = 20
5 t = 20
t = 20 : 5
t = 4 hours
Answer: at 4:00 PM.
Answer:
A. the median of the lower half of a data set ordered from least to greatest
Step-by-step explanation:
The first quartile can best described as the median of the lower half of a data set ordered from least to greatest.
Let us explain this with an example, say you're given a set of numbers: {1, 2, 5, 8, 9, 12, 15, 16, 20, 23, 25, 28, 32, 36, 42}. The median for the set is 16, the first quartile is going to be the median of the first half which is 8.
