Michelle opened her bank account on September 1st with $25 and continues to deposit $25 each month. Calculate the time Michelle will have a total of $500 in her account.
Answer:
19 months
Step-by-step explanation:
Initial deposit =$25
Monthly deposit = $25
Total deposit, y after x months can be modeled using the relation :
y = $25 + $25x
To have a total of $500 ; y = 500
$500 = $25 + 25x
$500 - $25 = $25x
$475 = $25x
x = $475 / $25
x = 19 months
Hence, Michelle will have deposited a total of $500 in his account after 19 months
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I started with triangle GHJ on the right. It is isosceles, so ...
g = 48°
h = 2(90 -g) = 84°
k = 180° -h = 96°
Then, on the lower right, we have ...
a = 180° -143° = 37°
b = 143°
c = e = a = 37°
f = 90° -e = 53°
At vertex D, we also have ...
85° +d = b ⇒ d = 143° -85° = 58°
In triangle DGH, we have ...
m + d = h ⇒ m = h -d = 84° -58° = 26°
The sum of angles in triangle DGP is 180°, so ...
p = 180° -85° -26° = 69°
Finally, ...
s = p = 69°
r = 180° -p = 111°
_____
The relationships we used are ...
- corresponding angles are congruent (at a transversal of parallel lines)
- alternate interior angles are congruent
- an exterior angle equals the sum of remote interior angles
- acute angles in a right triangle are complementary
- angles in a triangle sum to 180°
- linear pair angles are supplementary
- angle sum theorem
Answer:
1/6 because you would change 1/3 to 2/6 and then divide that in half.
Answer:
Acute, Obtuse and right angled triangle are the three triangles on the basis of angles.
Equilateral, Isosceles and Scalene are three triangles on the basis of of sides.
The seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.