Answer:
(B) Time (min) 2 , 3 , 7 , 9
Temperature (°C) 60.6 , 64.3 , 79.1 , 86.5
Step-by-step explanation:
The rate of change is found by using the formula for slope:
For option A, this gives us
m =(64.4-61.0)/(3-2) = 3.4/1 = 3.4
This is not more than relationship A.
For option B, we have
(64.3-60.6)/(3-2) = 3.7/1 = 3.7
This is more than relationship A.
For option C, we have
(65.3-61.8)/(3-2) = 3.5/1 = 3.5
This is not more than relationship A.
For option D, we have
(64.6-61.0)/(3-2) = 3.6/1 = 3.6
This is not more than relationship A.
1/4x -2 = -6 + 5/12x
3x - 24 = -72 +5x
3x -5x = -72 +24
-2x = -48
x = 24
Answer:
B
Step-by-step explanation:
Answer:
T is 13.9 years to the nearest 10th of a year
Step-by-step explanation:
In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.
To calculate the number of years, what we do is to use the compound interest formula.
Mathematically,
A = P(1+ r/n) ^nt
Where A is the final amount after compounding all interests which is $19,200 according to the question
P is the initial amount invested which is $10,000 according to the question
r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475
n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually
t= ?
we plug these values;
19200 = 10,000(1+0.0475/2)^2t
divide through by 10,000
1.92 = (1+0.02375)^2t
1.92 = (1.02375)^2t
We find the log of both sides
log 1.92 = log [(1.02375)^2t)
log 1.92 = 2tlog 1.02375
2t = log 1.92/log 1.02375
2t = 27.79
t = 27.79/2
t = 13.89 years
The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years
Answer:
sale price = 408
Step-by-step explanation:
480 * 15/100 = 72
sale price = 480 -72 =408 (ans)
