Answer:
$4000
Step-by-step explanation:
Let B represent amount invested in account 'b'.
We have been given that an amount of $12,000 that Boris invested in fund a returned a 6% profit.
So the profit earned from fund 'a' would be 
.
We are also told that the amount that he invested in fund b returned at 2% profit. So the profit earned from fund 'b' would be 
.
Further, both funds together returned a 5%. We can represent this information as:
Now, we will equate profit earned from account 'a' and 'b' with profit earned from both accounts as:
Therefore, Jason invested $4000 in fund 'b'.
It 72° because AB is parallel to CD
This month=560 × 30%=168=560+168=728
Answer=728 kilograms sugar this month
hope this correct and I hope I helped you☺
This is a combination of the formula of several figures.
The first one is the bottom of the cylinder AKA a circle.
The second one is the cylinder - the bottom and the top.
The third one is a cone without a bottom.
The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
The third one is written like this: l*r*3.14
After this you just have to input the values.
bottom cylinder Cone (Use calculator if possible)
(3^2*3.14)+(2*3.14*3*5)+(6*3*3.14)=
28.26 + 94.2 + 56.52 = 178.98 in^2
The correct answer is 178.98 in^2.
Youre welcome.
EXTRA:
If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.
Example:
Cylinder:
SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
Circle SA = pi r^2
Is this anywhere in the cylinder? Yes! The first part.
Then we are left with:
2 + (2 pi r)*h
But that 2 looks strangely placed, and with some reason, one quickly understands that it means "top AND bottom", but since we removed the circle surface, we have to remove that part too.
So the final result of the formula is:
2 pi r h
Answer:
336.7 yards away from the cabin....
Step-by-step explanation:
The angle 30.7° is also the angle of the upper interior angle of the triangle (near the cabin)
Use the tan function:
opposite = 200 yards
adjacent = x
tan(30.7°) = (opposite / adjacent)
tan(30.7°) = 200 yards/x
x * tan(30.7°) = 200 yards
x = 200 yards/ tan(30.7°)
x= 200/ 0.594
x = 336.7 yards.
336.7 yards away from the cabin....
