The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Answer:
the last one
Step-by-step explanation:
the first option is the answer
Step-by-step explanation:
4c + 6a <= 120 [building hours]
4c + 4a <= 100 [testing hours]
4 * 20 + 6 * 6 <= 120
80 + 36 <= 120
116 <= 120
true, they have enough building hours
4 * 20 + 4 * 6 <= 100
80 + 24 <= 100
104 <= 100
false, they won't have enough testing hours
the first option is the answer
Answer:
2x + 1y =< 300
x + y =>150 units
y <= 2x
Step-by-step explanation:
Let x and y be the numbers of corndogs and shakes that will be sold.
<u>1.</u> The total cost of making these items is given by the sum of:
(x)(RM2) + (y)(RM1)
A total of RM300 is allocated for the cost of these items, so:
2x + 1y =< 300 [Units are RM)
<u>2.</u> Sales are expected to exceed 150 units, in total. This means:
x + y =>150 units
<u>3.</u> Sales for the shakes is less than 2 times that of the corndogs:
y <= 2x