Answer:
BD = 8.8
Step-by-step explanation:
You have a right triangle.
The hypotenuse is BD
The side opposite the 27o angle is 4
Sin(27) = opposite / hypotenuse.
Sin(27) = 0.45399
opposite = 4
hypotenuse = ?
0.45399 = 4/hypotenuse
BD = 4/0.45399
BD = 8.811
The answer is 8.8
I=P*R*T
I - Interest
P - Principal (how much you invest) - $1025
Rate - Interest rate - 6.5% = . 065
T - Time - 5 years
I = 1025*.065*5
The interest is $333.13 (333.125 rounded)
The ending balance is interest+principal
$333.13+$1025=$1358.13
Ending Balance = $1,358.13
Answer:
9 White marbles are present in the bag.
Step-by-step explanation:
Let the number of White marbles present in the bag be X and number of Yellow marbles present be Y .
Then according to the question ,
X + Y = 16 -(1) (As total marbles are 16)
Also,
X = 2Y - 5 -(2)
From Equation 1 , X = 16 - Y , Comparing with Equation 2 , we get,
16 - Y = 2Y - 5
3Y = 21.
Y = 7.
So, X = 16 - Y = 16 - 7 = 9.
Thus, 9 White marbles are present in the bag.
Answer:
yes
Step-by-step explanation:
The ratio between the present value and the future value will be the same for any present or future date, provided that the discount/interest rate is the same in each case.
Alternative cash flows projected to the same date will have the same ratio, regardless of the chosen date — again, provided that the discount/interest rate is the same in each case.
It is pretty easy to solve this equation, given that the denominator is the same of either side (x + 5). You don't even need the brackets.
So:
4x+2/x+5 + 3x+1/x+5 = 4x+2+3x+1/x+5 = 7x + 3/x+5
The correct answer is 7x + 3 / x + 5.
It's the same as if you were adding for example 2/3 and 6/3 - since the denominator is the same, you should just add 2 and 6 and get 8/3.