Answer:
1. The nominal interest rate is 16.67%
2. The effective interest rate is 4.17%
Step-by-step explanation:
1.firstly we use the information given:
face value of bill is$100 which is denoted by Fv below.
$96 is the present value Pv of the bill denoted below.
thereafter we have n the number of periods of compounding which is 1 period.
we use the following formula for this problem to find i the nominal interest rate:
then we substitute the above mentioned values.
$100 = $96 ( 1+i/m)^1 divide both sides by $96
(100/96) = 1+ i/4 then subtract both sides by 1
(100/96)- 1 = i/4
0.0416666666667 = i/4 then multiply by 4 both sides as this was compounded quarterly so four times a year then multiply by 100 for percentage.
16.67% = i which is the nominal interest rate
2. 
ieffective= (1+16.67%/4)^1 - 1
ieffective = 4.17%
Answer:
The fan = x = 400
The heater = y = 3600
Step-by-step explanation:
Let the cost price of
The fan = x
The heater = y
Aaya bought a fan and a heater for Rs 4,000.
x + y = 4000
x = 4000 - y
He sold the fan at a profit of 25%
25% × x = 0.25x
And the heater at a loss of 5%.
5% × x = 0.05y
If he gained 7% on his total outlay, at
Hence:
0.25x + 0.05y = 7% × 4,000
0.25x + 0.05y = 280
Note:
x = 4000 - y
Hence:
0.25(4000 - y) + 0.05y = 280
1000 - 0.25y + 0.05y = 280
Collect like terms
-0.25y + 0.05y = 280 - 1000
-0.20y = -720
y = -720/0.20
y = 3600
x = 4000 - y
x = 4000 - 3600
x = 400
Hence, the price that he bought each item is given as:
The fan = x = 400
The heater = y = 3600
12/ sin(113.17) = b/ sin (37.81)
so b= 8
The answer is B-40.
It is an acute angle so it can not be 155 but the angle does not look like it is close to being 90 degrees so the answer has to be 40!
Hope this helps(can I get brainliest)
Answer:
8493
Step-by-step explanation:
