Answer:
Step-by-step explanation:
A $10,000 deposit at the bank will double in value in 9 years.
If the interest is r% and it is compounded each year, then we can write from the formula of compound interest that
⇒
⇒
⇒ r = 8%
Therefore, the formula for the accumulated amount t years after the investment is made will be
where, P is the invested principal and S is the accumulated sum. (Answer)
Answer:
Distance between two points = √37
Step-by-step explanation:
Given:
(-2,-1)
(-3,5)
Find:
Distance between two points
Computation:
Distance = √(x1 -x2)² + (y1 - y2)²
Distance between two points = √(-2+3)² + (-1 - 5)²
Distance between two points = √ 1 + 36
Distance between two points = √37
A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
Answer:
A) $0.11
Step-by-step explanation:
Since a dozen (12) eggs cost $1.35. You will divide $1.35 by 12. And it will equal 0.1125. Round it up it equals to 0.11.
3(x + 2) + 4(x - 5) = 10
Use the distributive property:
3x + 6 + 4x - 20 = 10
Combine like terms:
7x -14 = 10
Add 14 to both sides:
7x = 24
Divide both sides by 7:
x = 24/7