The mean distance Sarita ran for 5 days = 4.9 miles.
The mean of given data is the summation of all variables divided by the number of variables.
Mean = ∑X/n
where X represents variables and n represents the number of variables.
We have got data for 5 days. The variables are 5 miles, 4 miles, 5.5 miles, 4.5 miles, and 5.5 miles. Number of variables = 5.
∑X = 5 + 4 + 5.5 + 4.5 + 5.5 = 24.5 miles.
n = 5.
∴ Mean = ∑X/n = 24.5/5 = 4.9 miles.
The mean distance Sarita ran for 5 days = 4.9 miles.
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Answer:
Step-by-step explanation:
40/6=6.66666667
have $500 at the end of the year?
A. $507.89
B. $480.40
C. $518.92
D. $492.31
To have $500 at the end of the year with a 4% APR compounded monthly, you would need to invest approximately $480.40 as a lump sum.
To find the amount of money needed to invest as a lump sum in order to have $500 at the end of the year with an approximate 4% APR compounded monthly, we can use the formula for compound interest:
A = P(1 + r/n)nt
Where:
A = final amount ($500)
P = initial investment (unknown)
r = annual interest rate (4% or 0.04)
n = number of times interest is compounded per year (12)
t = number of years (1)
Plugging the given values into the formula, we can solve for P:
P = A / ((1 + r/n)nt)
P = $500 / ((1 + 0.04/12)12*1)
P ≈ $480.40
Therefore, you would need to invest approximately $480.40 as a lump sum to have $500 at the end of the year.
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Answer: 480.40
Step-by-step explanation:
We can use the formula for compound interest to calculate how much money we will need to invest as a lump sum to have $500 at the end of the year.
FV = PV x (1 + r/n)^(nt)
FV = future value
PV = present value
r = interest rate
n = number of times compounded per year
t = time in years
We know that FV = $500, r = 4% or 0.04, n = 12 (since it is compounded monthly), and t = 1. We can plug in these values to solve for PV.
$500 = PV x (1 + 0.04/12)^(12 x 1)
$500 = PV x (1.003333)^12
$500 = PV x 1.0406
PV = $500 / 1.0406
PV = $480.40
Therefore, we will need to invest $480.40 as a lump sum to have $500 at the end of the year. So, the correct option is B. $480.40.
Answer:
Step-by-step explanation:
Let (x), (x+1), and (x+2) be the three consecutive integers.
Put the words into expressions
Sum of the 3rd and twice the 3rd: (x)+2(x+2)
93 more than the second integer: 93+(x+1)
Now you can set up the equation and solve:
(x)+2(x+2)=93+(x+1)
Distribute and combine like terms
x+2x+4=94+x
3x+4=94+x
2x=90
x=45
So the 3 consecutive integers are 45, 46, 47.
Plug back in to check.
Answer:
Yes
Step-by-step explanation:
12 cups is 6 pints so therefore if 6 is greater than 3 your answer is yes.