1. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5
Calculations:
A = 2000 (1 + 0.04/4)²⁰
A = 2000 (1 + 0.01)²⁰
A = 2000 (1.01)²⁰
A = 2000 ₓ 1.22
A = $2440.38
2. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2
Calculations:
A = 50 (1 + 0.48/12)²⁴
A = 50 (1 + 0.04)²⁴
A = 50 (1.04)²⁴
A = 50 ₓ 2.56
A = $128.16
3. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3
Calculations:
A = 50 (1 + 0.04/12)³⁶
A = 50 (1 + 0.003)³⁶
A = 50 (1.003)³⁶
A = 50 ₓ 1.12
A = $56.36
Answer:
Step-by-step explanation:
Given
The attached figure
Required
x and y
If the attached is a parallelogram, then:
<em>Either segment of a diagonal are equal; So, we have:</em>
<em></em>
In
Divide both sides by 3
Substitute in
Collect like terms
Divide both sides by 4
Answer:
option A)
(40, 96)
Step-by-step explanation:
Given that,
The coordinates of point K and J are
K(160,120)
J(-40,80)
x1 = 160
x2 = -40
y1 = 120
y2 = 80
P is (3/5) the line of the line segment from K to J
So, KP = (3/5) KJ and JP = (2/5) KJ
OR we will divide the length of KJ with the ratio 3 : 2 from K
m : n
3 : 2
m = 3
n = 2
by using this formula and putting values in it
xp = (m/m+n)(x2-x1) + x1
yp = (m/m+n)(y2-y1) + y1
xp = (3/3+2) (-40-160) + 160
yp = (3/3+2) (80-120) + 120
xp = 40
yp = 96
Since they’re equal probability, 205/400 = 51.25%. There’s a 51.25%
