Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
solve for r
convert to percentage (multiply by 100)
Answer:
7.36
Step-by-step explanation:
z-score is:
z = (x − μ) / σ
Given that z = -1.63, x = 23, and μ = 35:
-1.63 = (23 − 35) / σ
σ ≈ 7.36
Step-by-step explanation:
- in order to know if the the point is on the line plug in the x coordinate to check if it gives you the y coordinate as an output.
- If you plug in the x coordinate and it gives you the given y coordinate then the point is on the given line
- Now let us plug in the value of x=-3
- now if you check plugging in the given x coordinate it does not give you the given y coordinate but -2
- therefore the point(-3,7) is not in the line but (-3,-2) is the point in the line.
- It is important to note that:
A nickel = $0.05
A dime = $0.10
We would be representing,
The number of nickels = n
The number of dimes = d
- Kendra has $3.15 in dimes and nickels. Writing this statement as an algebraic expression:
0.05n + 0.10d = 3.15...............Equation 1
- She has 4 times as many dimes as nickels. The algebraic expression for this statement :
4n = d ........................................ Equation 2
We would substitute 4n for d in Equation 1
0.05n + 0.10 x 4n = 3.15...............Equation 3
0.05n + 0.4n = 3.15
0.45n = 3.15
Divide both sides by 0.45
0.45n/0.45 = 3.15/0.45
n = 7
The number of nickels is 7
We solve for d, the number of dimes
4n = d
n = 7
4 x 7 = d
28 = d
The number of dimes is 28
Therefore, Kendra has 7 nickels and 28 dimes
To learn more, visit the link below:
brainly.com/question/14749963
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