Answer:
(4x + 7) (4x - 7)
Step-by-step explanation:
16x^2 will be broken down to 4x and 4x since when you multiply them, it will equal 16x^2
Then -49 can be broken down to 7 & -7 since 7 x (-7) = -49
Answer: Mr Drysdale deposited 14,500
Step-by-step explanation:
Using the simple Interest formula
Simple Interest = Principal(Initial Money) * Interest Rate * Time Period
I = P*R*T
I = PRT
To get P which is the initial money he deposited, we divide both sides by RT
I/RT = PRT/RT
I/RT = P
Therefore the money deposited
P = I/RT
Interest (I)= 906.25
Interest Rate (R)= 6.25% = { converting percentage to decimal} (6.25/100)= 0.0625
Time Period (T) = 1 year
Principal (P)= ?
P= I/RT
P= 906.25/(0.0625 * 1)
P= 906.25/0.0625
P= 1450
The money he deposited in his local bank is 14,500
Answer:
2
Step-by-step explanation:
because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2
Answer:
tan theta = 8/15
Step-by-step explanation:
Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.
To find the value of the adjacent side from theta, use the Pythagorean Theorem.
a^2 + b^2 = c^2
8^2 + b^2 = 17^2
64 + b^2 = 289
Subtract 64.
b^2 = 225
Take the square root.
b = 15.
So that means:
the side opposite from theta is 8,
the side adjacent from theta is 15,
the hypotenuse is 17.
Now we take tan, opposite over adjacent, and use the values from the triangle.
tan = opposite / adjacent
tan = 8/15.
Answer:
t = -0.22secs and 0.85secs
Step-by-step explanation:
Given the expression
h = –16t² + vt + c.
If a child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft, then;
v = 10, c = 3
Since we are to let h = 0, then the equation becomes:
0 = –16t² + 10t + 3
Multiply through by a minus sign
16t² - 10t - 3 = 0
Factorize the reulting expression:
t = -(-10)±√(-10)²-4(16)(-3)/2(16)
t = 10±√100+192/32
t = 10±√292/32
t = 10±17.09/32
t = 10-17.09/32 and 10+17.09/32
t = -7.09/32 and 27.09/32
t = -0.22secs and 0.85secs
