$19.4
Step-by-step explanation:
Simple Interest=SI
Principle(deposit)=P(97)
Rate= R(4/100=0.04)
Time= T(5)
SI=P•R•T
SI=97x0.04x5
SI=19.4
Interest earned = $19.4
Answer:
(2x - 3) • (x + 4)
Step-by-step explanation:
Step 1 :
Equation at step 1 :
(2x2 + 5x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2+5x-12
The first term is, 2x2 its coefficient is 2 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8
2x2 - 3x + 8x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-3)
Add up the last 2 terms, pulling out common factors :
4 • (2x-3)
Step-5 : Add up the four terms of step 4 :
(x+4) • (2x-3)
Which is the desired factorization
Answer:
C(g) = 5 + 6g
Step-by-step explanation:
Let
C be the cost function for Ben
and
g be the number of games
As the shoe rental is paid for all the games, it will be added only once. The variable on which the cost will be dependent is g. The number of games will directly affect the cost function. Here g is independent variable.
So, mathematically writing,
C(g) = 5 + 6g
The possible rectangles that you could draw to have an area of 12 would be:
12x1
6x2
4x3
3x4
2x6
1x12
Answer:
The 95% confidence interval for mean compressive strength is:
Step-by-step explanation:
We have a sample of n=12 specimens, with sample mean=3259.9 and sample standard deviation = 35.57.
We know the population is normally distributed.
For a 95% confidence interval and df=n-1=11, the t-statistic is t=2.201.
Then, the CI can be expressed as:
