Answer:
$1,519
Step-by-step explanation:
Given that :
Balance = principal = $520
Time (t) = 6 years
Annual. Interest rate (r) = 18% = 0.18
Using the compound interest formula:
A = P(1 + r/n)^nt
n = number of times interest is applied per period ; A = final amount
Since interest is compounded monthly, n = 12
A = 520(1 + 0.18/12)^(12 * 6)
A = 520(1 + 0.015)^72
A = 520(1.015)^72
A = 520(2.9211579)
A = 1519.0021
Hence, final amount = $1519
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Step-by-step explanation:
BODMAS
B-brackets()
O-of(multiplication)×
D-division÷
M-multiplocation×
A-addition+
S-subtraction-
Supplementary angles add up to 180°
Angle y is the large angle: y= 5x+6
180= x+y
180= (5x+6) + x
180=6x+6
174=6x
x=29
180= y+29
y=151°
