Answer:
B
Step-by-step explanation:
Use the distance formula in 3 dimensions
d = 
with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)
d = 
= 
= 
= 
= 13 → B
Answer:
53.51 years
Step-by-step explanation:
FV = PV e⁽ⁿˣ⁾
FV = Future Value = $5000
PV = Present Value = $1500
n = Interest Rate = 2.25%
x = time in years = ?
e = mathematical constant = 2.7183
So,
5000 = 1500 e⁽⁰°⁰⁰²⁵ˣ⁾
50 / 15 = e⁽⁰°⁰⁰²⁵ˣ⁾
㏑ (3.3333) = 0.0225x ㏑ (2.7183)
1.2040 = 0.0225x
x = 53.51 year
So, If compounded continuously at an APR of 2.25% the amount invested in an account of $1500 will accumulate to $5000 in 53.51 years.
9) Area of Figure = Area of rectangle + area of triangle
A = 17 * 22 + (1/2 * 12 * 19)
A = 374 + 114
A = 488 cm²
10) Area of Figure = Area of rectangle + area of triangle
A = 8 * 4 + (1/2 * 3*4)
A = 32 + 6
A = 38 cm²
Hope this helps!
3*400 = 1200
3* 60 = 180
3 * 5 = 15
1200+180+15 = 1395
the answer is 1395
Point C is (-1.5, 8.5)
Point E is (1.5, 7.5)
Point H is (6, 6)
Each section is 1.5 x units higher and 0.5 y units lower than Point A so for each section you have add 1.5 to x and subtract 0.5 from y.
i.e.
Point A is (-3, 9). Point C is one section away, so to get point C you simply,
( (-3 + 1.5), (9 - 0.5) ) = (-1.5, 8.5)
