Answer:
Sarah has to invest $502,958.58 today.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
She has to invest P today.
So
Sarah has to invest $502,958.58 today.
200.96 rounded to the nearest hundredths would be 201 because in you decimal places you have .96 and your thousandths place is 6 so you would round. Up the 9 to 10 so you would have to make 200 into 201 therefore your answer would be 201
Answer:
The equation of the line is y = 4x + 13
Step-by-step explanation:
In this question, we want to write the equation of the line using the point slope form.
Mathematically, the point slope form can be represented as;
(y-y1) = m(x - x1)
where x1 = -2 , y1 = 5 and m which is the slope is 4
Plugging these values into the equation, we have;
(y-5) = 4(x - (-2))
y-5 = 4(x + 2)
y -5 = 4x + 8
y = 4x + 8 + 5
y = 4x + 13
Answer:
p = -1
x=10
m < 7
Step-by-step explanation:
4(3p + 6 ) = 12
Distribute the 4
12p +24 = 12
Subtract 24 from each side
12p+24-24 = 12-24
12p = -12
Divide by 12
12p/12 = -12/12
p = -1
-5(x -4) = -30
Distribute the -5
-5x+20 = -30
Subtract 20 from each side
-5x+20-20 = -30-20
-5x=-50
Divide by -5
-5x/-5 = -50/-5
x=10
-3m + 15 > -6
Subtract 15 from each side
-3m + 15-15 > -6-15
-3m >-21
Divide by -3 remember to flip the inequality
-3m/-3 < -21/-3
m < 7
