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
Answer:
405
Step-by-step explanation:
To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.
The values that are given are p = 0.84 and E = 0.03.
You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.
(1 - 0.9) = 0.1/2 = 0.05
invNorm(0.05, 0, 1) = 1.645
You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16
Plug the values into the equation and solve for n.
Round up to the next number, giving you 405.
To calculate the area of a triangle, multiply the base and the height, then divide the product by 2.
7*8=56
56/2=28
Area=28 feet squared
The hotel is $250 plus $25 per person so the equation would be
y= 25x + 250
(Y is the total cost and x is the number of people)
the restaurant is $100 plus $40 per person so the equation would be
y = 40x + 100
What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:
25x + 250 = 40x + 100
and then solve...
1. subtract 100 from both sides
25x + 150 = 40x
2. subtract 25x from both sides
150 = 15 x
3. divide both sides by 15
10 = x
you can check by plugging 10 into the original equations
25(10) + 250
250 + 250 = 500
and
40(10) + 100
400 + 100 = 500
they both cost $500 when you invite 10 people
Answer:
3200 = 168x + 8
Step-by-step explanation:
$3200 is the total sales in dollars, so we're going to plug that in for y (it says in the equation that y represents the total sales in dollars). And the rest of the equation stays the same.
I hope this helped!
