Answer:
Step-by-step explanation:
Let x = $ invested in 8% account
y= $ invested in 10.5% account
x + y= 12000
0.08x + 0.105y = 1145
$4600 invested in the 8% account
and $7400 invested in the 10.5%
account
1... the wording is a little confusing.
Is the charge $0.18 per mile or is it actually $36.18 per mile?
Answer: D. 
Step-by-step explanation:
The given sequence: 
Here, first term:
Second term:
Third term : 
It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.
Common ratio: 
So,
[as in G.P. nth term=
]
Hence, correct option is D. 
Answer:
The correct answer is the last option, that is, 
Step-by-step explanation:
We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 
We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 
In order for amount of money to be equal in accounts of both the runners, we set up:

Upon rewriting the left hand side using commutative law, we get:

Therefore, we can see that the last option is the correct answer.
Answer:
C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.
Since these are isosceles triangles, the base angles are the same:
m∠R = m∠T = m∠A = m∠C
Therefore the congruency statement can be written two different ways.
ΔABC ≅ ΔRST
ΔABC ≅ ΔTSR
Both statements could be correct.
Choosing between B) and C):
To move ΔABC to where ΔRST or ΔTSR is, you could either:
i) Translate 6 units to the left, and translate 3 units down
ii) Reflect across the y-axis, and translate 3 units down
It can be the result of two translations or a reflection and a translation.
In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.