Answer:
Step-by-step explanation:
Formula to be used,
A = 
Here, A = Final amount
P = Principal amount
r = rate of interest
n = Number of compounding (In a year)
t = Duration of investment (In years)
Question (5)
P = $4250
r = 0.015
n = 4
t = 3 years
A = 
A = 
A = $4445.24
Part (C)
1). P = $6000
r = 0.03
n = 2
t = 10 years
A = 
= 
= $8081.13
2). P = $9000
r = 0.05
n = 2
t = 8 years
A = 
= 
= $13360.55
Answer: B. 25.2 units
Step-by-step explanation:
The kite consists of 4 right angle triangles. The two smaller right angles are equal. Also, the two bigger right angles are equal.
To determine the hypotenuse of each triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Considering the smaller triangle,
Hypotenuse² = 4² + 3² = 16 + 9 = 25
Hypotenuse = √25 = 5
Considering the smaller triangle,
Hypotenuse² = 7² + 3² = 49 + 9 = 58
Hypotenuse = √58 = 7.616
The perimeter of the kite is the sum of the length of each side. Therefore,
Perimeter = 5 + 5 + 7.616 + 7.616 = 25.2 units to the nearest tenth
Answer:
0.36
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
<h3>Hope it is helpful...</h3>
Answer: 5cm and 8cm
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 26 ...... i
l × w = 40 ...... ii
We can reduce equation i to l + w = 13.
l + w = 13 ....... i
l × w = 40 ....... ii
From i, l = 13 - w ...... iii
Put the value of l into equation ii
l × w = 40
(13 - w) × w = 40
13w - w² = 40
13w - w² - 40 = 0
w² - 13w + 40 = 0
w² -8w -5w +40 = 0
w(w - 8) -5(w - 8) = 0
(w - 5) = 0 and (w - 8) = 0
w = 0 +5 and w = 0 + 8
w = 5
l = 8
The dimensions are 5cm and 8cm
Answer:
C. the diameter would be 10 making the answer 10pi
Step-by-step explanation:
the diameter would be 10 making the answer 10pi
2(5)pi
10pi
