The basic equation for interest is the investment amount(x) times the time in years(y) times the percent of interest(z).
That makes the equation:
x·y·z= amount with interest.
Lets plug in the numbers:
$900 x 1.5 x 2.4%
Now turn the percent into a decimal:
2.4% ----> .024
Now the equation is:
$900 x 1.5 x .024
Now do the math:
$900 x 1.5 = 1350
1350 x .024 = 32.4
1350 + 32.4 = 1382.4
The final answer is $1382.40
Hope this helps!
The answer is 6.55, because 42.6-(13.45+9.5)=19.65, and 19.65/3=6.55.
Answer:
smaller (t) = 2 and this in coordinates form (2,0)
larger (t) = 15 and this in coordinates form (15,0)
the vertex of the parabola = 
or in decimals (8.5, 42.25)
Step-by-step explanation:
- For the zeros of the function take each bracket and make it equal to zero.
SMALLER (t):
(t-2)=0
(add 2 for both sides)
t=2
LARGER (t):
(t-15)=0
(add 15 for both sides)
t=15
- For the vertex of the parabola you do:
step1: expand the brackets:
f(t)=-(t-2)(t-15)
f(t)= 
step2: define a,b and c using the expression 
:
a= -1 (the coefficient of 
)
b= 17 (the coefficient of t)
c= -30 (the single number without a letter)
step3: sub the values in the formula 
to find the x coordinate of the vertex :
= 
= 
or in decimals 8.5
step4: sub the value of t (the x-coordinate) in equation f(t):
f(t)=
f ( ) = - 
+ 17× - 30
= 
+ 
-30
=
or in decimals 42.25
(THIS IS A PICTURE OF THE GRAPH↓)
Answer:
m∠B = 157°
Step-by-step explanation:
Cyclic quadrilateral is the quadrilateral whose vertices lie on the edge of the circle
In the cyclic quadrilateral each two opposite angles are supplementary (the sum of their measures is 180°)
∵ Quadrilateral ABCD is inscribed in a circle
- That means its four vertices lie on the edge of the circle
∴ ABCD is a cyclic quadrilateral
<em>Each two opposite angles in the cyclic quadrilateral are supplementary (The sum of their measures is 180°)</em>
∵ ∠B and ∠D are opposite angles in the quadrilateral ABCD
∴ m∠B + m∠D = 180° ⇒ opposite ∠s in a cyclic quadrilateral
∵ m∠B = (6x + 19)°
∵ m∠D = x°
- Substitute them in the rule above
∴ (6x + 19) + x = 180
- Add the like terms in the left hand side
∴ (6x + x) + 19 = 180
∴ 7x + 19 = 180
- Subtract 19 from both sides
∴ 7x = 161
- Divide both sides by 7
∴ x = 23
<em>Substitute the value of x in the expression of the measure of ∠B to find its measure</em>
∵ m∠B = 6(23) + 19
∴ m∠B = 138 + 19
∴ m∠B = 157°
