Manuel spins a spinner with 10 sections. The sections are numbered 1 through 10, and all sections are the same size. What is the
2 answers:
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Answer:
To prove that the triangle is a right- isosceles triangle, prove that
- There is a right angle in the triangle
- Two sides of the triangle are equal in length
Another way to prove that angle YXZ is a right angle is to calculate the length of XY, XZ and YZ using the distance formula. Then show that (YZ)² = (XY)² + (XZ)².
By the inverse of Pythagoras' Theorem, ∡YXZ is a right angle.
*The product of the gradients of 2 perpendicular lines= -1.
Please see the attached pictures for full solution.
Given:
• Amount to save, A = $28,000
,• Time, t = 6 years
,• Interest rate, r = 5.3% ==> 0.053
,• Number of times compounded = quarterly = 4 times
Let's find the amount that must be deposited into the account quarterly.
Apply the formula:
Where:
FV is the future value = $28,000
r = 0.053
n = 4
t = 6 years
Thus, we have:
Let's solve for P.
We have:
Solving further:
Divide both sides by 28.0384237:
Therefore, the amount that must be deposited quarterly into the account is $998.60
ANSWER:
$998.60