Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
b) How much money was in the account after 4 years?
c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(1)]
= 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(4)]
= 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(2)]
= 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount is same each year
m
=
−
2
, (
3,
5
)
Find the value of b
using the formula for the equation of a line.
b
=
11
Now that the values of
m (slope) and b
(y-intercept) are known, substitute them into
y
=
m
x
+
b to find the equation of the line. y
=
−
2
x
+
11
Answer: x=13
explanation:
-2x+6=-20
subtract 6 from both sides
-2x=-26
divide -2 by both sides
two negatives equals a positive
x=13
Answer:
b. average total cost = total cost/quantity of output
Step-by-step explanation:
The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:
- <em>Marginal cost = change in total cost/ change in quantity</em>
The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:
- <u><em>Average total cost = total cost / quantity of output</em></u>
The total cost is obtained adding together the fixed costs and the variable costs, its formula is:
- <em>Total cost = fixed cost + variable cost</em>
The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:
- <em>Average variable = variable cost / quantity of output</em>
I hope you find this information useful and interesting! Good luck!
Answer:
(6,17)
Step-by-step explanation:
2x+5=3x-1
-3x -3x
-x+5=-1
-5 -5
-x=-6
^divided by -1 on both sides
x=6
y=2x+5
y=(2)(6)+5
y=17
