Answer: 5/2 and 25/4
Step-by-step explanation:
6x5=30
6x2=12
...
say these were perfect squares,
12x12= 144
30x30= 900
900/144 = 25/5
Answer:
Excess time = 1.2 hour
Step-by-step explanation:
Given:
Total time = 24 hours
Talking on phone = 17 %
Sleeping = 33%
Going to school = 25%
Studying = 4%
Eating = 8%
Computation:
Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying - Studying - Eating
Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%
Watching TV percent = 13%
Time taken by school = 24 x 25%
Time taken by school = 6 hour
Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)
Time taken by watching T.V. and Talking on the Phone = 7.2 hour
Excess time = 7.2 - 6
Excess time = 1.2 hour
Answer:
$13,200
Step-by-step explanation:
You need to use the simple interest formula
I = P * r * t
I = Interest accrued
P = Principal amount invested
r = Interest rate you need to divide by 100 to get it in decimal form
t = time, in years if you are given a partial year, divide the months by 12
P = $12,000
r = 7.5% = .075
t = 1
But, because we want I to equal $990 then I is
I = $990
So we ignore our P and instead solve for the P that will give us the desired result.
I = P * r * t
$990 = P * .075 * 1
$990 = P.075 Divide each side by .075
$990/.075 = P.075/.075
$990/.075 = P
$13,200 = P
So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.
Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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