Answer:
110degrees
Step-by-step explanation:
Complete question
Q4: If x and y are two supplementary angles whereas m<x=70 then find the m<y.
The sum of two supplementary angles is 180degrees, hence;
m<x + m<y = 180
70 + m<y = 180
m<y = 180 - 70
m<y = 110degrees
Hence the measure of ,=m<y is 110degrees
First statement: False. Points K, M and N form a triangle.
Second statement: True. Points J, K, and Q are on the same line.
Third statement: False. KN and MQ intersect at N, not at R.
Fourth statement: False. JQ and KM intersect at K, but MQ does not pass through it.
Fifth statement: True. By definition, there is always only 1 line that can be drawn between 2 given points.
Answer:
2.5
×
t
=
2.5
t
Step-by-step explanation:
<span>4x - 15 = 3 </span>
<span>4x = 3 + 15 </span>
<span>4x = 18 (divide both sides by 4 to get x) </span>
<span>4x/4 = 18/4 </span>
<span>x = 4.5 </span>
Answer:
They lose about 2.79% in purchasing power.
Step-by-step explanation:
Whenever you're dealing with purchasing power and inflation, you need to carefully define what the reference is for any changes you might be talking about. Here, we take <em>purchasing power at the beginning of the year</em> as the reference. Since we don't know when the 6% year occurred relative to the year in which the saving balance was $200,000, we choose to deal primarily with percentages, rather than dollar amounts.
Each day, the account value is multiplied by (1 + 0.03/365), so at the end of the year the value is multiplied by about
... (1 +0.03/365)^365 ≈ 1.03045326
Something that had a cost of 1 at the beginning of the year will have a cost of 1.06 at the end of the year. A savings account value of 1 at the beginning of the year would purchase one whole item. At the end of the year, the value of the savings account will purchase ...
... 1.03045326 / 1.06 ≈ 0.9721 . . . items
That is, the loss of purchasing power is about ...
... 1 - 0.9721 = 2.79%
_____
If the account value is $200,000 at the beginning of the year in question, then the purchasing power <em>normalized to what it was at the beginning of the year</em> is now $194,425.14, about $5,574.85 less.
