Answer:
The equations:
the value for x and y:
Step-by-step explanation:
invest amount = 12900
let x = amount put into the first account
let y = amount put into the second account
we know the sum of of both is 12900, thus
We also know the sum of their annual interest rate is 1103
Thus the equations needed are
and
To find the values for x and you know have all equations you need
we need to get this equation to a single variable
we can do this using x or y, lets use x
we know
, so
lets plug into
1161 - .09y + .08y = 1103
-.01y = -58
y = 5800
we can get x from this equation from above
Answer: 22+36= 58
58*10= 580
580 * 0.5 = 290
290 is the answer
Step-by-step explanation:
1/2h(b+b)
The area of a trapezium equals the sum of the two parallel sides multiplied by the vertical height then multiplied by 0.5
9.86 * 150 = 1479g = 1.479kg
Answer:
We can approximate to normal.
The parameters of the approximate normal distribution are:
It is not unusual to have 23 or more successes. The probabiltity of this event happening is 13.4%.
Step-by-step explanation:
To approximate the binomial distribution to a normal distribution, we can calculate n*p and n*q and if both are bigger than 5 we can do the approximation.
We can approximate to normal.
The parameters of the approximate normal distribution are:
The continuity correction factor is used because the binomial is a discrete function and the normal a continous function.
The probability of 23 successes must be expressed in the normal distribution as:
It is not unusual to have 23 or more successes. The probabiltity of this event happening is 13.4%.
ANSWER: 114ft^2
Area of cabinets = (4*2)+(4*2) = 16ft^2
Area of kitchen = (10*13) = 130ft^2
Subtract area of the cabinets from total area
130ft^2 - 16ft^2 = 114ft^2
