Answer:
1)
2)
3)
Step-by-step explanation:
Given : A certain economy's consumption function is given by the equation
where, C(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income in billions of dollars.
To find :
1) C(0)
Put x=0 in the given equation,
2) C(50)
Put x=50 in the given equation,
3) C(100)
Put x=100 in the given equation,
Answer:
Step-by-step explanation:
Let P denotes principal amount, T denotes time period and R denotes rate of interest.
Amount =
Amir pits £3035 into a bank account. The account pays 4% compound interest each year.
Put
Amount =
Therefore, Amir will have in the account after 6 years.
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
