Step-by-step explanation:
By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.
This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.
So z = 3.2 (1 d.p.)
Answer:
m=12
Step-by-step explanation:
basic math
Answer:
Step-by-step explanation:
diameter = circumference / π
= 31/π
= 9.9 ins to nearest tenth
Answer:
a)$1628.90
b)$1647.00
c)$1648.72
Step-by-step explanation:
The question is on compound interest.
The formula to apply here is;

where
- P=principal /beginning amount
- r=interest rate as a decimal
- n=number of compoundings a year
- t=total number of years
a) If compounded annually, n=1
p=$1000, r=5%=0.05 t=10
Amount will be;

Amount=$1628.90
b) If compounded monthly, n=12
p=$1000, r=5%=0.05, t=10, n=12

Amount=$1647.00
c)If interest compounded continuously, it means the principal is earning interest constantly and the interest keeps earning on the interest earned.Here the formula to apply is;
A=Pe^rt where e is the mathematical constant e=2.71828182846
Hence the amount will be;

Amount=$1648.72
Answer:
x=1+2i/2
Step-by-step explanation:
Using the method of completing the square
(2x)²-2(2x)1 +(1)²+4=0
(2x-1)²=-4
taking square root on both sides
2x-1=2i
2x=1+2i
x=1+2i/2