Calculate standard Z values for the given data:-
z = (80 - 110) / 20 = - 3/2 = -1.5
and z = (115 - 110) / 20 = 0.25
so we need Prob ( -1.5 < z < 0.25)
Using standard tables this comes to 0.5319 Answer
(12)(20)= 240
The answer is going to be B. 240 sq ft
Answer: he invested $15000 in part 1 and $60000 in part 2
Step-by-step explanation:
Let x represent the amount of money invested in part one.
Let 4x represent the amount of money invested in part 2 .
Total amount of money invested in part 1 and part 2 is
x + 4x = 5x
The formula for simple interest is expressed as
I = PRT/100
Where
P is the principal or initial amount.
T is the duration in years
R is the number rate.
For part 1
R = 7%
T = 1 year
P = x
I = (x × 7 × 1)/100 = 0.07x
For part 2,
R = 11%
T = 1 year
P = 4x
I = (4x × 11 × 1)/100 = 0.44x
if the total annual income from interest is 7650. This means that
0.44x + 0.07x = 7650 - - - - - - - -2
0.51x = 7650
x = 7650/0.51
x = 15000
Amount invested in part 1 is $15000
Amount invested in part 2 is 4×15000 = $60000
Answer:
x < 12
Step-by-step explanation:
So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:
8(x+26) < 304
Lets start to solve for x by dividing by 8, giving us:
x+26 < 38
Now lets isolate x by subtracting 26 from both sides, which gives us our answer:
x < 12
So x is less than 12.
Hope this helps!
The second one is the correct one
