X = <span>weight of the baby.
y = </span>weight of the doctor.
z = weight of the nurse.
x + y = 78 so y = 78 - x
x + z = 69 so z = 69 - x
x + y + z = 142
substitute y = 78 - x and z = 69 - x into x + y + z = 142
x + y + z = 142
x +78 - x + 69 - x = 142
-x + 147 = 142
-x = - 5
x = 5
answer
<span>the weight of the baby was 5 kg</span>
The 4 subintervals are given: [2, 4], [4, 7], [7, 9], and [9, 10].
Each subinterval has length: 4 - 2 = 2, 7 - 4 = 3, 9 - 7 = 2, and 10 - 9 = 1.
Over each subinterval, we take the value of the function at the right endpoint: 3, 8, 15, and 18.
Then the integral is approximately
so 78.0 is the correct answer.
Solving this problem needs the distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / √ (a^2 + b^2)
So we are given the equation: y = 2 x + 4
Rewriting this would be: y – 2 x – 4 = 0 -> a = -2, b = 1, c = -4
We are also given the points:
(-4, 11) = (x, y)
Plugging it in the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]
= 15 / √ (5)
= 6.7
So the tree is approximately 6.7 feet away from the zip line.
Answer:
The answer to this question can be defined as follows:
net paid interest = $ 655. 04
Total cost = $ 4955.04
Step-by-step explanation:
Given values:
loan amount = $ 4,300
monthly payment = $ 206.46
interest rate = 14 %
Time = 2 years
Solution:
yearly payment = one month amount × 12
1 year payment = $ 206.46 × 12
1 year payment = $2477.52
because Time is 2 year then payment is = $2477.52 *2
2 year payment = $ 4955.04
net interest paid = total payment - loan amount
= $ 4955.04 - $4300
= $ 655.04
total cost = $ 4955.04
net paid interest = $ 655.04
