We have that
<span>A (-8, -2) and B(16,6)
step 1
find the distance AB in the x coordinates
dABx=(16-(-8))-----> 24 units
step 2
find coordinate x of P (Px)
Px=Ax+(3/5)*dABx------> Px=(-8)+(3/5)*24----> 6.4
step 3
F</span>ind the distance AB in the y coordinates
dABy=(6-(-2))-----> 8 units
step 4
find coordinate y of P (Py)
Py=Ay+(3/5)*dABy------> Py=(-2)+(3/5)*8----> 2.8
the coordinates of P are (6.4,2.8)
see the attached figure
Answer:
the mass of liquid is 1,050 g
Step-by-step explanation:
subtract the total mass with the mass of the container
Answer:
Step-by-step explanation:
1. Use this to find the average rate of change
2. Average rate of change =
3. and (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))
4. Replace -4 to f(8) and -10 to f(6)
5. So it will look like
6. Solve
Answer: the account earns interest of $40.16
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 875.83
r = 9% = 9/100 = 0.09
n = 12 because it was compounded 12 times in a year.
t = 6 months = 6/12 = 0.5 year
Therefore,.
A = 875.83(1+0.09/12)^0.5 × 12
A = 875.83(1+0.0075)^6
A = 875.83(1.0075)^6
A = 915.99
The interest that she earns is
915.99 - 875.83 = $40.16
The place value is the hundreths