Part 1 :
if the number of hours (h) is greater than 7.
Equation for the amount(A) in dollar is
Amount (A) = 210 + (h-7)x20
Part 2 :
if she earns 410,
with the same equation
410 = 210 + (h-7)x 20
200 =(h-7)x 20
10 = h-7
17 = h
therefore, number of hours tutored is 17.
Answer:
y = 8x
Step-by-step explanation:
When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:
$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.
Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.
hope it helps!
Answer:
$196
Step-by-step explanation:
Lets assume,
cost of a belt = 'x'
cost of a pair of pants = 'y'
Now, According to the question;
- x + y = 490;
- cost of a bag = twice the cost of belt = 2x;
- cost of a pair of pants = twice the cost of bag
⇒ y = 2×2x ⇔ 4x
hence, by subtituting the values in equation' we get;
⇒ x + 4x = 490
⇒ 5x = 490
⇒ x = 98
So, the difference between the cost of the pair of pants and the bag ;
⇒ y - 2x
⇒ 4x - 2x
⇒ 2x = 2×98 = 196.
<u>The three important tools of Federal Reserve's monetary policies are as follows:</u>
- open market operations
- the discount rate
- reserve requirements.
<u>Step-by-step explanation:</u>
The monetary policies of the United States's central bank, Federal Reserve are the acts of the entity to influence money and raise the country's economy. These policies also helps in looking over the aspects of how the money and credits draw affects on credit rates and the overall performance of the U.S. Economy.
The three prime tools of the Federal reserve's monetary policies are the Open Market Operations, Discount Rates and the Reserve Requirements.
<u>Open Market operations</u>
This involves in purchase and selling process of government securities. The primary dealer with which the Reserve deals compete on the basis of prices and thus the dealer gets decided with whom the reserve deal for the day.
<u>Discount Rates</u>
This is the discount rate charged to depository institutions for short term loans by the Federal Reserve.
<u>Reserve Requirements</u>
This is the money or deposit amount the Reserve Bank must sustain in its vault or depository.
