Answer:
Principal amount (P) = $10,000
Rate (R) = 1.5%
Time (T) = 4 years
Simple interest, I = P X R X T / 100
= 10000 X 1.5 X 4 /100
= 60000 / 100
= $600
Therefore, Balance = P + I
= 10000 + 600
= $10600
Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64
Answer:
12
trust me it works i just took the test.
Answer:
6% of the changes were from incorrect to incorrect
Step-by-step explanation:
The sum of the percentages must be 100%.
We have these following percentages
65% of the changes were from incorrect answers to correct
29% were from correct to incorrect
P% were from incorrect to incorrect
So
6% of the changes were from incorrect to incorrect
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.