Answer
A: $28,000
B: 15 years
Step-by-step explanation:
A: Since $25,000 is deposited in the bank and you earn 4% interest annually over 3 years you would earn 12% interest. 12% of 25,000 is 3,000. The sum of 25,000 and 3,000 is 28,000 having you earn $28,000 over 3 years.
B: Since every year you earn 4% annual interest and you have $25,000 deposited in the bank you have to find what percentage of 25,000 equals 15,000. Since 25,000 isn't exactly easy to find multiply it by 4. That leaves you with 100,000 which we know you don't have in the bank but it will make it easier to find the percentage. You will also have to multiply 15,000 by 4 giving you 60,000. Now divide the 60,000 by 1,000 which equals 60. What's the point of the number 60? Well, that's the percentage it takes. Now divide 60 by the annual interest which is 4 and that gives you 15. 15 is the number of years it will take for the balance to reach $40,000.
Hope this helps!
With intersecting lines, the angles opposite the intersection (across the "X") are called vertical angles, and they are identical. Therefore JNK = MNL and KNL = JNM.
So set KNL = JNM:
3(x+14) = 5x+2
3x+42 = 5x+2
3x+42 -42 = 5x+2 -42
3x = 5x -40
3x -5x = 5x-5x -40
-2x = -40
-2x/-2 = -40/-2
x = 20
Now plug that into x for KNL:
KNL = 3(x+14) = 3(20+14) = 3(34) = 102°
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) we know that
The area of the shaded figure is equal to the area of semicircle plus the area of a triangle
<em>Find the area of semicircle</em>
The area of a semicircle is equal to

we have

substitute

<em>Find the area of triangle</em>
The area of the triangle is equal to

we have

-----> the height of triangle is equal to the diameter of semicircle
substitute

<em>Find the area of the shaded figure</em>

assume


Part b) we know that
The area of the shaded figure is equal to the area of the triangle minus the area of the circle
<em>Find the area of the circle</em>
The area of the circle is equal to

we have

substitute

<em>Find the area of triangle</em>
The area of the triangle is equal to

we have

substitute

<em>Find the area of the shaded figure</em>

assume


Answer:
Step-by-step explanation:
TYSM
HAVE A GREAT DAY
The decimal number 0.4 is equivalent to 4/10 in fraction form. This fraction can be reduced to its simplest form by dividing both the numerator and the denominator by their greatest common factor (GCF). The GCF of four and 10 is two. Therefore, 0.4 is equal to 2/5.