Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 - 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
1:2 heads 4:6 less than 5 so 4:12
Answer:
35 degrees
Step-by-step explanation:
The angle is given to be a right angle by the red square. The right angle is intercepted by a line. One side of the whole 90 degree angle is said to be 55 degrees. Both sides should equal 90 degrees if added.
This means that to find the missing angle, you would subtract 55 degrees from 90 degrees to get 25 degrees.
Answer:
10 - 2n - 4
Step-by-step explanation:
The product of n and 2 is 2n.
Then 10 - 2n is the difference of 10 and the product of n and 2.
In conclusion, we have:
10 - 2n - 4
=> The first expression on the left: (1 + tan²)
we know that tangent = sin/cos
so tan² = sin²/cos²
the expression is <u>(1 + sin²/cos²)</u>
=> The second expression on the left: (1 - sin²)
we know that (sin² + cos²) = 1
subtract sin² from each side,
and we have (1 - sin²) = (<u>cos²)</u>
=> Multiply the massaged form of the two expressions:
(1 + tan²) (1 - sin²) = (<u>1 + sin²/cos²)</u> (<u>cos²)</u> = (cos² + sin²) = <em>1 </em>qed
<u> </u>
