Answer:
a. false
b. true
c. true
d. true
e. false
Step-by-step explanation:
a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.
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b. True. A graph of a proportional relationship is a straight line through the origin.
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c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
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d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.
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e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
Answer:
A. 9x^4 and 3x^5y
Step-by-step explanation:
there are two ways to solve this:
first way:
You can solve this my substituting numbers for x and y in this case i used 2 for x and 3 for y and see which one is equal to the original equations
the second way is the regular way
when you add or subtract numbers with variables and exponents you want to add the constants and add the exponents in this case 
is the same as 
= 
and you can do the same process for subtraction
= 
Answer:
4^8
Step-by-step explanation:
If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.
(4^2)^4 = 4^(2 * 4) = 4^8
<u>Given</u>:
Four lines are marked proportion, the length of TW can be determined by
<u>Value of a:</u>
Let us set the proportion for the given lines.
Thus, we have;
Thus, the value of a is 5.6
<u>Value of b:</u>
Let us set the proportion for the given lines.
Thus, we have;
Thus, the value of b is 5.
<u>Length of TW:</u>
The length of TW is given by
Thus, the length of TW is 13.6
Answer:
The semi-annually compounded nominal rate at that time is 7%
Step-by-step explanation:
In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:
PV= FV/(1+r)^n
According to the given data we have the following:
PV=$167
FV=$1,000
n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52
Therefore, 167= $1,000/( 1+r)^52
167/$1,000 =1/(1+r)^52
0.167 =1/(1+r)^52
r =3.50%
Therefore, The semi-annually compounded nominal rate at that time=3.50%*2
The semi-annually compounded nominal rate at that time=7%
The semi-annually compounded nominal rate at that time is 7%
