Answer:
the graph corresponds to function "D" 
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
while function D at x = 0 gives:
Therefore, the graph corresponds to function "D"
We are given with
F = 1000
b = 22.50
P = 100.8
We use the formula to get the coupon rate
b = Fib
Substituting the given values
22.50 = 1000 ib
ib = 0.0255 or 2.25%
The coupon rate is 2.25%
Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
<span><u><em>The correct answer is:</em></u>
4) y-axis, x-axis, y-axis, x-axis.
<u><em>Explanation</em></u><span><u><em>: </em></u>
Reflecting a point (x,y) across the <u>x-axis</u> will map it to (x,-y).
Reflecting a point (x,y) across the <u>y-axis</u> will map it to (-x,y).
Reflecting a point (x,y) across the line <u>y=x</u> will map it to (y, x).
We want a series of transformations that will map every point (x,y) back to (x,y). This means that everything that gets done in one transformation must be undone in another. The only one where this happens is #4.
Reflecting across the y-axis first negates the x-coordinate; (x,y) goes to (-x,y).
Reflecting this across the x-axis negates the y-coordinate; (-x,y) goes to (-x,-y).
Reflecting this point back across the y-axis negates the x-coordinate again, returning it to the original: (-x,-y) goes to (x,-y).
Reflecting this point back across the x-axis negates the y-coordinate again, returning it to the original: (x,-y) goes to (x,y).
We are back to our original point.</span></span>
Vă rugăm să găsiți imaginea întrebării atașate mai jos:
Răspuns:
A este proporțională
B este proporțională
C nu este proporțional
D este proporțional
E nu este proporțională
F este proporțional
Explicație pas cu pas:
Pentru a determina proporționalitatea:
Obținem constanta proporționalității
Pentru valorile din tabelul 1;
Luând primul punct:
x = 1; y = 5
1 α 5
1 = 5k
k = 1/5
Test:
y = 15
x = k * y
x = 1/5 * 15; x = 3
Prin urmare; (a) este proporțională
B.)
x = 2; y = 6
2 α 6
2 = 6k
k = 2/6
k = 1/3
Test:
y = 15
x = k * y
x = 1/3 * 15; x = 5
Prin urmare; (b) este proporțională
C.)
x = 2; y = 6
7 α 3,5
7 = 3,5k
k = 7 / 3,5
k = 2
Test:
y = 5
x = 2 * 3.5
x = 7
Prin urmare; (c) nu este proporțională
x = 0,5; y = 1
0,5 α 1
0,5 = k
Test:
y = 4
x = k * y
x = 0,5 * 4; x = 2
Prin urmare; (d) este proporțională
x = 0,2; y = 2
0,2 α 2
0,2 = 2k
k = 0,2 / 2
k = 0,1
Test:
y = 4,5
x = 0,1 * 4,5
x = 0,45
Prin urmare; (e) nu este proporțională
x = 1; y = 12
1 α 12
1 = 12k
k = 1/12
Test:
y = 84
x = 1/12 * 84
x = 7
Prin urmare; (f) este proporțională
