Answer:
$12000 at 5%
$27000 at 6.5%.
Step-by-step explanation:
Let x represent amount invested at 5% and y represent amount invested at 6.5%.
We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:
We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, an amount of $12,000 is invested at 5%.
Upon substituting in equation (1), we will get:
Therefore, an amount of $27,000 is invested at 6.5%.
Answer:
8.4 in
Step-by-step explanation:
Solution:-
- We consider the large right angle triangle namely, " XVW "
- We will recall all the trigonometric ratios that are applicable to all right angled triangles.
- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:
Hypotenuse ( H ): Side opposite to 90 degrees angle
Base (B): The side adjacent to the available angle ( θ )
Perpendicular (P): The side opposite to the available angle ( θ )
- We will go ahead and mark our respective sides as follows:
Angle ( θ ) : 34°
Hypotenuse ( H ) : XW = 15 in
Base ( B ) : VW
Perpendicular ( P ) : VX
- Now recall all the trigonometric ratios studied:
sin ( θ ) = P / H = VX / XW
cos ( θ ) = B / H = VW / XW
tan ( θ ) = P / B = VX / VW
- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:
sin ( θ ) = P / H = VX / XW
sin ( 34° ) = VX / 15
VX = 15*sin ( 34° )
VX = 8.387 .. ( 8.4 ) in
Answer:
24÷6+2= 6
Step-by-step explanation:
24÷6 is 4
4 + 2 is 6
Answer:
3/4
x 180/= <u>135°</u>
Step-by-step explanation:
2 | 1 3 3 -3 6
| 0 2 10 26 46
___________
1 5 13 23 52
x^3+5x^2+13x+23+ (52/(x-2))
