Answer:
The equation for a is 
The altitute is 101,428.57 feet
Step-by-step explanation:
You know that the relationship between ground temperature and atmospheric temperature can be described by the formula
t = -0.0035a +g
where:
- t is the atmospheric temperature in degrees Fahrenheit
- a is the altitude, in feet, at which the atmospheric temperature is measured
- g is the ground temperature in degrees Fahrenheit.
Solving the equation for a:
-0.0035a +g=t
-0.0035a= t - g
<u><em>The equation for a is </em></u><u><em></em></u>
If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F
Replacing in the equation for a you get:
a= 101,428.57
<u><em>The altitute is 101,428.57 feet</em></u>
Each time the previous number is multiplied by 2
Answer:
Step-by-step explanation:
Find the slope, denoted m
This is done by using the formula m = (y2 - y1)/(x2 - x1)
The slope for this problem is
m = [-3 - (-1)]/[8 - (-2)]
m = -2/10 = -1/5
Answer:
y = 65
Step-by-step explanation:
45 + 57 = x + y
x = 37
45 + 57 = 37 + y
45 + 57 = 102
102 = 37 + y
102 = 37 + y
-37 -37
102 - 37 = 65
37 + y - 37 = y
65 = y
y = 65
Answer:
5 years
Step-by-step explanation:
In the question we are given;
- Amount invested or principal amount as $5048
- Rate of interest as 4% compounded 12 times per year
- Amount accrued as $6,163.59
We are required to determine the time taken for the money invested to accrue to the given amount;
Using compound interest formula;
where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)
Therefore;
introducing logarithms on both sides;
But, 1 year = 12 interest periods
Therefore;
Number of years = 60.61 ÷ 12
= 5.0508
= 5 years
Therefore, it will take 5 years for the invested amount to accrue to $6163.59
