Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
Solve:
- 5x - 15 = 2x + 15
- 5x - 30 = 2x
- 5x = 2x + 30
- 3x = 30
- x = 10
So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
If $5,000,000 is invested at 4% interest compounded continuously, the investment will be worth $16,215,000 in 30 years.
Answer:
y = 12
Step-by-step explanation:
A line parallel to y = 6 is, like y = 6, horizontal. Such a line passing through (10,12) is y = 12.
a. The
component tells you the particle's height:

b. The particle's velocity is obtained by differentiating its position function:

so that its velocity at time
is

c. The tangent to
at
is
