Answer: 0.000007638035
Step-by-step explanation:
We can use the formula for compound interest to solve this.
Now, the formula goes thus:
A = P ( 1 + r/n)^nt
Where A is the amount compounded, P is the initial amount I.e the principal, r is the rate in % , t is the time while n is the number of times the interest is compounded per time I.e how many times per year.
From the question, we get the following parameters, A = $1912.41 , P = ? , t = 15 years, r = 2.63% and n = 1 of course.
Now, we substitute these into the formula
1912.41 = P ( 1 + 2.63) ^ 15
1912.41 = P ( 3.63) ^ 15
1912.41 = P ( 250,379,850)
P = 1912.41 ÷ 250,379,850
P = 0.000007638035
Looks pretty funny an answer right?
89 is prime 16 is composite 17 is prime 25 is composite
C is the answer because there is no variable for X which without it would make a horizontal line.
Answer:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
Step-by-step explanation:
Given:
We have to match the equivalent expressions:
a. 24 ÷ 3 f. 8 × 50
b. 53 × 7 g. 8 × (5 × 12 − 10)
c. 56 − 21 h. (8 × 7 − 3) × 7
d. 4 − 3 i. 8 × 3 ÷ (6 − 3)
e. 40 × 2
Solution:
a. 24 ÷ 3 = 8
b. 53 × 7 = 371
c. 56 − 21 = 35
d. 4 − 3 = 1
e. 40 × 2 =80
f. 8 × 50 = 400
g. 8 × (5 × 12 − 10) <em>Using PEMDAS rule.</em>
⇒ 
⇒ 
⇒ 
h. (8 × 7 − 3) × 7
⇒ 
⇒ 
⇒ 
i. 8 × 3 ÷ (6 − 3) = 8
⇒ 
⇒ 
⇒ 
Answers:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
c,d and e didn't have any match
a is equivalent to i,b equivalent to h and g is equivalent to f.
Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³
