9514 1404 393
Answer:
7 years
Step-by-step explanation:
The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...
1.025^n = 2
Taking logarithms, we can solve for n:
n×log(1.025) = log(2)
n = log(2)/log(1.025) ≈ 28.071
It will take 28 quarters, or 7 years, for the value to double.
The experimental probability changes every time he rolls the die but if its just the next roll he has a 1/6 chance of getting a 3
Answer:
x = 4
Step-by-step explanation: 4 times 4 is 16 and 16 plus 7 is 23.
Answer: Volume = 491.4
Step-by-step explanation:
You find the volume by multiplying (length x width x height)
Answer: 131.25 ounces
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Explanation:
We have two spices. Call them spice A and spice B
Spice A is 30% salt. We do not know how much of this spice to add, so we'll call it x. The x is a placeholder for a number
So on your paper you might write
x = amount of spice that is 30% salt (amount in ounces)
30% of x = 0.30*x is the amount of pure salt we have in spice A
Spice B is 65% salt. We have 175 ounces of this stuff.
65% of 175 = 0.65*175 = 113.75 ounces are pure salt
So we have 0.30x+113.75 ounces of total pure salt from the two spices combined
The total mix is x+175 ounces. We want 50% of the total mix to be pure salt, so 0.50*(x+175) is the expression that represents this.
Set the expression 0.30x+113.75 and 0.50*(x+175) equal to each other. Solve for x
0.30x+113.75 = 0.50*(x+175)
0.30x+113.75 = 0.50*x+0.50*175
0.30x+113.75 = 0.50*x+87.5
0.50*x+87.5 = 0.30x+113.75
0.50*x-0.30x = 113.75-87.5
0.20x = 26.25
x = 26.25/0.20
x = 131.25
