Hola!
-6 (3x - 5)
[ simplifying. ]
-18x + 30
hope it helps!
Answer:
The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.
Step-by-step explanation:
We are looking for a function that has the following points:
B(0) = 1500
B(4) = 1200
B(7) = 975
Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:
B(t) = -75*t + 1500
To check if this expression is valid, we will apply the values provided on the problem:
B(0) = -75*0 + 1500 = 1500 (valid)
B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)
B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)
When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:
B(t) = -75*t + 1500 = 0
-75*t + 1500 = 0
75*t = 1500
t = 1500 / 75 = 20 months
It'll take her 20 months to pay the loan.
Answer: The new acreage of the park is 218,533.
Step-by-step explanation:
Since we have given that
Original acreage = 125,000
Expanded boundary by = 93,533 acres
We need to find the new acreage of the park.
so,we will use
Hence, The new acreage of the park is 218,533.
Answer:
No
Step-by-step explanation:
You want to calculate the interest on $550 at 2.1% interest per year after 4 years.
The formula we'll use for this is the simple interest formula, or:
I = P x r x t
P is the principal amount, $550.00.
r is the interest rate, 2.1% per year, or in decimal form, 2.1/100=0.021.
t is the time involved, 4 years.
So, t is 4 year time periods.
To find the simple interest, we multiply 550 × 0.021 × 4 to get that:
The interest is: $46.20
Answer:
H0: p1-p2=0
Ha: p1-p2≠0
This hypotheses can be written as
H0: p1=p2
Ha: p1 ≠p2
Step-by-step explanation:
Here the claim is if these data provide strong evidence the rate of sleep deprivation is different for the two states which will be formulated as alternate hypothesis .
Ha: p1-p2≠0
The null hypothesis is
H0: p1-p2=0 i.e these data do not provide strong evidence the rate of sleep deprivation is different for the two states.
where p1 = as population 1 of California
p2= as population 2 of Oregon
This hypotheses can be written as
H0: p1=p2
Ha: p1 ≠p2
which will also give the same results as above and a two tailed test will be performed for both hypotheses.
