<span>What is 1990 divided by 24?
1990 divided by 24 is 82 with a remainder of 22 or 83 r</span><span>ounding to the whole number.</span>
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).
If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.
18 is the length of the top of the trapezoid.
You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.
14=2x
Divide by 2 and x=7
(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
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
