If Emily has 6 apples and she give hailey 2 apples how many apples does she have in all
1 answer:
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The graph of y=ax+b, where a≠0, is always a line:
i) increasing if a>0
ii) decreasing if a<0
Consider the decreasing case.
The line is above the x-axis, that is positive but decreasing. At 1 single point it cuts the x-axis, so x=0, and then it continues decreasing below the x-axis.
Back to our problem:
The graph of y=-1/2 x +2 is a decreasing line.,
so it CANNOT be
"positive over the interval (4, infinity) and negative over the interval (-infinity, 4)"
it is
"<span>negative over the interval (4, infinity) and positive over the interval (-infinity, 4)</span>"
the graph is "<span>positive over the interval (-infinity, 4)</span>", it means that the line is decreasing but above the x-axis until 4, (4 not included).
then, "negative over the interval (4, infinity)", which means that the line is now decreasing below the x-axis.
when x=4, the line cuts the x-axis.
check the graph of the line generated using desmos.com
Answer:
<em>The account will take 7 years to reach a value of $4,020</em>
Step-by-step explanation:
<u>Compound Interest </u>
When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.
It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:
Calculating:
Dividing by 2,700:
To solve this equation for t, we need to apply logarithms:
Applying the logarithm power rule:
Dividing by 12log 1.0045:
Calculating:
t= 7.39 years
Rounding to the nearest year, the account will take 7 years to reach a value of $4,020