Answer: 30.5 and 35.5
Step-by-step explanation:
We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.
x=y+5
x+y=66
Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5
Step-by-step explanation:
sin theta = 12/13
cos theta = 5/13
tan theta = 12/5
cosec theta = 13/12
sec theta = 13/5
cot theta = 5/12
A = (H * B) / 2.......2A = H * B
A = 15
H = B + 1
2(15) = H * B
30 = B(B + 1)
30 = B^2 + B
B^2 + B - 30 = 0
(B + 6)(B - 5) = 0
B + 6 = 0
B = -6.....not this one, it cant be negative
B - 5 = 0
B = 5 <==== base is 5 cm
H = B + 1
H = 5 + 1
H = 6 <=== height is 6 cm
Part A.
1) Function given:
2) Interpretation:
initial value: => x = 0 => f(x) = 0.69
table:
x f(x)
year price
0 0.69
1 0.69 * 1.03 = 0.7107 => increase = 3%
2 0.69 * (1.03)^2 = 0.732021 => increase = 3%
So,
the answer is that the function is increasing at 3% per year.Part B.
3) table
<span> t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04
Percent change:
Year 2: 10,201 / 10,100 = 1.01 => 1% increase
Year 3: 10,303.01 / 10,201 = 1.01 => 1% increase
Year 4: 10,406.04 / 10,303.01 = 1.01 => 1% increase.
Answer: the </span><span>
product of the part A recorded a greater percentage change in price over the previous year (3% vs 1%).</span>
The correct answer is none other than B. I think