Answer:
The interest he will be paid in the first 4 years is $360
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
∵ Bill deposits $3,000 into an account
∴ P = 3000
∵ The account pays simple interest at a rate of 3% per year
∴ r = 3% = 3 ÷ 100 = 0.03
∵ The time is 4 years
∴ t = 4
→ Substitute these values in the rule above
∵ I = 3000(0.03)(4)
∴ I = 360 dollars
∴ The interest he will be paid in the first 4 years is $360
Answer:
Step-by-step explanation:
The average rate of change of a function f between a and b (a< b) is :
R =[f(b)-f(a)] ÷ (a-b)
●●●●●●●●●●●●●●●●●●●●●●●●
Let R be the average rate of change of this function
f(6) = 2×6^2 - 7×6 = 72-42 = 30
f(2) = 2×2^2 - 7×2 = 8-14 = -6
R = [f(6) - f(2)]÷ (6-2)
R = [30-(-6)] ÷ 4
R = -36/4
R = -9
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The average rate of change of this function is -9
Answer:
$38.25
Step-by-step explanation:
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
- width = 2.5 yd
- length = 6 yd
⇒ perimeter = (2 x 2.5) + (2 x 6)
= 5 + 12
= 17 yd
Given:
- cost of fence = $2.25 per foot
⇒ total cost = 17 x 2.25
= $38.25
Answer: 13300
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Work Shown:
A = event that it rains
B = event that it does not rain
P(A) = 0.30
P(B) = 1-P(A) = 1-0.30 = 0.70
Multiply the attendance figures with their corresponding probabilities
- if it rains, then 7000*P(A) = 7000*0.30 = 2100
- if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200
Add up the results: 2100+11200 = 13300
This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.
Answer:
x = 1.19258 and x = −4.19258
Step-by-step explanation:
The given equation is :
Keep x terms on the left and move the constant to the right side by adding it on both sides.
Take half of the x term and square it.
then add the result to both sides
So,
x = 1.19258 and x = −4.19258
Hence, this is the required solution.
