Answer:
x=5
Step-by-step explanation:
7x - 4y = 23 and x + y = 8
Multiply the second equation by 4
4x + 4y = 32
Add this to the first equation
7x - 4y = 23
4x + 4y = 32
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11x = 55
Divide each side by 11
11x/11 = 55/11
x = 5
Answer:
The money was left untouched for 2 years and 6 months or just 2.5 years
Step-by-step explanation:
In this question, we are asked to calculate the time taken for an amount deposited to earn a certain amount of interest.
Mathematically, simple interest can be calculated using the formula;
I = PRT/100
where I is the interest accrued which is 3696.88 - 3,500 = 196.88
P is the principal which is the amount deposited = 3,500 according to the question
R is the rate which is 2.25% according to the question
T is the time which we are to find
we can rearrange the formula making T the subject and we obtain the following;
T = 100I/PR
substituting the values listed above we have;
T = (100 * 196.88)/(3500 * 2.25)
T = 19688/7875
T = 2.5 years or 2 years 6 months
About 115 are pansies when you round down from the original number (115.44)
Answer:
X=75
Y=110
Step-by-step explanation:
A straight line is 180, so add the equations that make a line and set them equal to 180
x+20+x+10=180
Combine like terms
2x+30=180
Subtract 30 from both sides
2x=150
Divide by 2
X=75
Same for y
y+y-40=180
2y-40=180
Add 40 to both sides
2y=220
Divide by 2
Y=110
Answer: 120
Step-by-step explanation:
There are 5 digits that are odd, 1 3 5 7 9
There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120