Answer:
$938.66
Step-by-step explanation:
Cheque = $341.79 + $17.96 =$359.75
<u>Cash</u>
Paper Currency:
=(35 X $1)+(17 X $5)+(44 X $10)
= 35+85+440
=$560
Coins
=(54 X $0.25)+(36 X $0.10)+ (32 X $0.05) + (21 X $0.01)
=13.5+3.6+1.6+0.21
=$18.91
Total Cash Deposit = Paper Currency + Coins
=$560+18.91
=$578.91
Therefore, Jacob's Total Deposit
= Total Cheque Deposit+ Total Cash Deposit
=$359.75+578.91
=$938.66
Answer:
Option B is correct.
sum of given geometric series is, 255
Step-by-step explanation:
Evaluate the geometric series: 
we can write this as:
Formula for the sum of the geometric series:
for r > 1
where
a is the first term
n is the number of terms
r is the common ratio
In the given series:
common ratio (r) = 2>1, n = 8 and first term(a) = 1
Since,
and so on...
then substitute the given values in [1] we have;
or
Therefore, the sum of given geometric series is, 255
Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
2x-3y=-2
4x+y=24
------------------
-2(2x-3y)=-2(-2)
4x+y=24
----------------------
-4x+6y=4
4x+y=24
--------------
7y=28
y=28/7
y=4
4x+4=24
4x=24-4
4x=20
x=20/4
x=5
Answer:
16428 oranges
Explanation:
Total yield = number of trees × number of oranges in each tree
Initial yield = 600×24= 14400 oranges
To find the equation needed, let x = additional trees and y= total yield
Number of trees = 24 +x
Number of oranges in each tree = 600-12x
Equation of total yield y= (24+x)(600-12x)
y= 14400-288x+600x-12x²
y= -12x²+312x+14400
Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a
A quadratic equation is such: ax²+bx+c
Therefore x =-312/2×-12
x= -312/-24
x= 13
So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:
24+x=24+13= 37 trees in total
y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400
=16428 oranges in total yield
