The current value of the payment which is $1000 will be:
A=P(1+r/100)^-n
P=1000
r=5 %
n=1
A=1000(1+5/100)^-1
A=1000/1.05
A=$952.38
The first payments of $1000 is worth $952.38 today. The value of the second $1000 is worth:
A=1000(1+0.05)^-2=907.02
today
Let
x = minutes used for jogging
y = minutes used for handball
z = minutes used for cycling
Th total time spent is 1 hour (60 minutes), therefore
x + y + z = 60
Because Mike jogs as long as he cycles, therefore
x = z
Therefore
2x + y = 60
or
y = 60 - 2x (1)
Jogging consumes 10 calories/min, handball consumes 9 calories/min and cycling consumes 12 calories/min.
The calories consumed in 60 minutes is 580, therefore
10 x + 9y + 12z = 580
Because x = z,
22x + 9y = 580 (2)
Substitute (1) into (2).
22x + 9(60 - 2x) = 580
22x + 540 - 18x = 580
4x = 40
x = 10
y = 60 - 2x = 40
z = x = 10
Answer:
10 minutes of jogging
40 minutes of handball
10 minutes of cycling.
<u>Explanation:</u>
The term IoT is an acronym for 'Internet of Things' which refers to a modern technology that allows certain physical objects or “things” as we may call it to connect to the internet.
While Big Data refers not just to large data, but to an innovative field of technology that specializes in analyzing very large (big) data sets.
Consider the education industry, by means of IoT, it is possible for school management to effectively track their student's academic progress in real-time.
IoT and Big Data connected in the sense that, as these physical things (objects) communicate over the internet, a mass amount of data ("Big Data") is been generated which could then be analyzed using specialized software. In other words, they are mutually beneficial.
Answer:
The price of the bonds is $ 1,276.
Explanation:
The value of bond or issue price can be calculated by discounting all future cash flow using effective rate of retun. Detail calculations are given below.
Future Value = Redemption present value (RPV) + Present value of interest (PVI)
RPV = 1,000 (1+5%)^-15 = $ 481 -A
PVI = 36.25 * Annuity factor =$ 759 -B
Future Value = A + B = $ 1,276
Annuity factor = (1- (1+i%)^-n)/i% = (1- (1+5%/2)^-30)/(5%/2) = 20.9303
Answer:
The correct answer is: price elastic; increase.
Explanation:
The price elasticity of demand for apples is 1.2.
This implies that the demand relatively prices elastic.
Elastic demand means that a proportionate change in the price of apples will cause more than proportionate change in the quantity demanded.
A decrease in the price of apples will cause its quantity demanded to increase by more than proportionate. This will cause total revenue to increase.
