Answer:
ghs 20,000
Step-by-step explanation:
If Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively, the total ratio will be 4 + 5 = 9
Let Boadu share be x
Let ansah share be y
If at the end of the year ansah received ghs5,000 more than Boadu, then;
y = 5000 + x
Boadu share = 4/9 * (x+y)
x+y is the total amount shared
x = 4/9 * (x+y)
Substitute y = 5000 + x
9x = 4(x+y)
9x = 4x + 4y
9x - 4x = 4y
5x = 4y
5x = 4(5000+x)
5x = 20,000 + 4x
5x-4x = 20,000
x = 20,000
Hence Boadu share is ghs 20,000
Answer:
7/8
Step-by-step explanation:
Answer:
a+3
Step-by-step explanation:
You cannot go any further in answering this question. These two terms are not like terms so they cannot be combined. Therefore, the answer is just a+3 itself.
1/4, 0.25, and 25%.
Hope this answer helps! feel free to ask any additional questions :)
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
