Answer:
The percentage rate is 4.5%.
Step-by-step explanation:
The given formula for simple interest is I=prt where I=simple interest, p=principle, r = percentage rate and t=time. In the problem, we are told that after six years (t=6), $7000 (p=7000) earns $1890 (I=1890). We can then substitute in the values for three of our variable to get the following: 1890 = (7000)(6)r. Multiplying 7000x6 = 42000 giving us 1890 = 42000r. Using inverse operations, we divide both sides of the equation by 42000 to get 0.045 = r. Since r = percentage rate, we need to multiply our decimal by 100 to find the percentage. 0.045 x 100 = 4.5%.
Answer:
noooooooo
Step-by-step explanation:
Answer:
x=36
y=9
Step-by-step explanation:
Plug in 0 for x to find the y-intercept
0 + 4y = 36
4y = 36
y = 9
y-intercept (0, 9)
Plug in 0 for y to find the x-intercept
x + 4(0) = 36
x = 36
x-intercept (36, 0)
X and Y are vertical angles, which mean they are the same.
The 3 inside angles need to equal 180 degrees, so solve for X:
X = 180 - 35 - 65 = 80 degrees.
Y = 80 degrees.
Answer:
∠D B C = 41°
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given ∠ABC = 90°
In diagram ∠D B C + ∠A B D = 90°
6 x+5 + 8 x +1 = 90
14 x + 6 = 90
14 x = 90 -6
14 x = 84
<em> x = 6</em>
<u><em>Step(ii):-</em></u>
∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41
<em>∠D B C = 41°</em>
<em> ∠A B D = 8(6) +1 = 49°</em>
<em>∠D B C + ∠A B D = 41° + 49° = 90°</em>
