Answer:
$4000 was invested at 4%, 2500 was invested at 3%
Step-by-step explanation:
First and foremost the question has to be define.
Total amount raised is $6500
Savings account percentage simple interest =3%
Government Bond: 4% simple interest
Equation for amount invested at each rate:
(6500-x)0.03 + 0.04x = 235
195 - 0.03x + 0.04x = 235
0.01x = 40
x = 4000
$4000 was invested at 4%, 2500 was invested at 3%
Answer:
Only the first pair can be so mapped
Step-by-step explanation:
Reflection across AB and translation will leave the segment corresponding to AB having the same "north-south" (vertical) orientation. The reflection will reverse the clockwise ordering of corresponding vertices.
- selection 2: segment AY is not vertical
- selection 3: the ordering of the vertices is unchanged, not reversed
- selection 4: segment XY is not vertical
Answer:
<em>We can't find a unique price for an apple and an orange.</em>
Step-by-step explanation:
Suppose, the price of an apple is
and the price of an orange is 
They need $10 for 4 apples and 4 oranges. So, the first equation will be.......

They also need $15 for 6 apples and 6 oranges. So, the second equation will be........

Dividing equation (1) by 2 on both sides : 
Dividing equation (2) by 3 on both sides : 
So, we can see that both equation (1) and (2) are actually same. That means, we will not get any unique solution for
and
here. Both
and
have <u>"infinitely many solutions"</u>.
Thus, we can't find a unique price for an apple and an orange.
Answer:
B = $140
Step-by-step explanation:
for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is
we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money
for part B, y=25x+65
so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140
F(x) = 2x ⇒ g(x) = -f(x) - 2 = -2x - 2
⇒ g(x) = -2 × (x + 1)