I am not to sure but I would go for B. identity.
Answer:
2. Judy =$5
Ben= $4
Step-by-step explanation:
2. Let Judy = x and Ben = y
8x + 10y = 80
9x + 5y = 65
Solve these simultaneous equations.
8
x + 10
y = 80
18
x + 10
y = 130
Take the second equation away from the first equation
−
10
x = −
50
x = 5
This means that Judy gets paid $5 an hour.
Therefore, Ben gets paid $4 an hour.
Answer:
3. 24 quarters and 16 dimes
Step-by-step explanation:
3. Let the number of dimes = x and the number of quarters = y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
dimes x $0.10 $0.10x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 40 $7.60
x + y = 40
0.10x + 0.25y = 7.60
Get rid of decimals by multiplying every term by 100:
10x + 25y = 760
So we have the system of equations:
x + y = 40
10x + 25y = 760
We solve by substitution. Solve the first equation for y:
x + y = 40
y = 40 - x
Substitute (40 - x) for y in 10x + 25y = 760
10x + 25(40 - x) = 760
10x + 1000 - 25x = 760
-15x + 1000 = 760
-15x = -240
x = 16 = the number of dimes.
Substitute in y = 40 - x
y = 40 - (16)
y = 24 quarters.
$1.60 + $6.00 = $7.60
I hope that helped, sorry for taking so long :-)
The answer is B) 2/13.
An easy way to figure this out is to find what the unsimplified probability would be:
Since there are 8 kings and queens in total, the number is:
8/52
But, since these are both even numbers, they can be simplified.
1/4 x 8 = 2
1/4 x 52 = 13
2/13
Since 13 is a prime number, the answer cannot be simplified anymore.
Answer: 1 and 3
Step-by-step explanation:
The formula that calculates the compound rate from the given values is ![r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5B10n%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
<h3>How to determine the compound interest rate?</h3>
The compound interest formula is:
Where:
- P represents the principal amount
- r represents the compound interest rate
- n represents the number of times the interest is compounded
- t represents the time in years
- I represents the interest
We start by adding P to both sides
Divide through by P
Take the nt-th root of both sides
![\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn](https://tex.z-dn.net/?f=%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%201%20%2B%20%5Cfrac%20rn)
Subtract 1 from both sides
![-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn](https://tex.z-dn.net/?f=-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%20%3D%20%5Cfrac%20rn)
Multiply through by n
![r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})](https://tex.z-dn.net/?f=r%20%3D%20n%28-1%20%2B%20%5Csqrt%5Bnt%5D%7B%5Cfrac%7BP%20%2B%20I%7D%7BP%7D%7D%29)
In this case, t = 10
So, we have:
Hence, the formula that calculates the compound rate is
Read more about compound interest at:
brainly.com/question/13155407
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