Answer:
3300 was on 3% and 6700 on 2,5%
Step-by-step explanation:
We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.
Therefore;
a + b = 10 000
And
0,03a + 0,025b = 283.5 (0,03 means 3% etc)
You can move 'b' to the other side to leave 'a' on the LHS
0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)
a=9450 - 0,8333b
Substitute this equation as 'a' in the first equation to get:
9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)
-0,8333b + b = 10 000 - 9450
0,1666b = 550 (divide both sides by 0,1666)
b = 3,300
Therefore 'a' will be :
a= 10 000 - 3 300
a = 6700
I hope this helps.
2
A whole pizza has 8 slices. 1/4=25%. 25% of 8 is 2.
Answer:
1 or I
Step-by-step explanation:
Answer:
1. 34.4°
2. 18.8°
3. 37.7°
4. 36.6°
5. 40.6°
6. 7.5
7. 12.3
8. 14.7
9. 22.0
10. 6.3
Step-by-step explanation:
1. The missing angle is found by the use of the sine.
Sine ∅= opposite/ hypotenuse
=13/23
sin⁻¹(13/23)=34.4°
2. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/50
Tan⁻¹(17/50)=18.8°
3. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/22
Tan⁻¹ (17/22) = 37.7°
4. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=21/28
Tan⁻¹ (21/28)=36.9°
5. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=24/28
Tan⁻¹ (24/28) = 40.6°
6. Missing side is calculated by considering the tan of 58°
Tan 58°=12/x
x=12/Tan 58°
=7.5
7. Missing side is calculated by considering the sine of 43°
Sin 43°= opposite / hypotenuse
Sin 43 =x/18
x= 18 Sin 43
=12.3
8. Missing side is calculated by considering the sine of 62°
Sin 62° = 13/x
x=13/Sin 62°
=14.7
9. Missing side is calculated by considering the tan of 36°
Tan 36°= 16/x
x=16/Tan 36°
=22.0
10. Missing side is calculated by considering the sine of 23°
Sin 23° = x/16
x=16 Sin 23
=6.3
Answer:
49 in the first box and 7 in the second one
25 in the 3rd box and 5 in the 4th
