Answer:
x=11
Step-by-step explanation:
7x-9-4(x-1)=28
7x-9-4x+4=28
3x-5=28
3x=33
x=11
Answer:
26 miles
Step-by-step explanation:
Given: 24 miles drive to north.
10 miles drive to east.
Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).
Now, using Pythogorean theoram to find straight line distance from starting point.
h²= a²+b²
Where, h is hypotenous
a is opposite leg
b is adjacent leg.
⇒h²= 
⇒
⇒
Taking square root on both side, remember; √a²= ±a
⇒
∴ 
Ignoring -26 as distance cannot be negative.
Hence, 26 miles is the straight line distance from starting point.
F=ir^t
139=134r^10
139/134=r^10
r=(139/134)^(1/10) then:
f=134(139/134)^(t/10) so in 2014, t=24 so
f=134(139/134)^(2.4)
f≈146 million (to nearest million)
Some will say that you have to use the exponential function, but it really gives you the same answer...even for continuous compounding :)...
A=Pe^(kt)
139=134e^(10k)
139/134=e^(10k)
ln(139/134)=10k
k=ln(139/134)/10 so
A=134e^(t*ln(139/134)/10) when t=24
A=134e^(2.4*ln(139/134))
A≈146 million (to nearest million)
The only real reason or advantage to using A=Pe^(kt) is when you start getting into differential equations...
Area of parallelogram = base x height
220.44 = 16.7 x height
height = 220.44 ÷ 16.7
height = 13.2 units
Answer: 13.2 units
Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 9 is 1Divide both the numerator and denominator by the GCD
(7/1)/(9/1)Reduced fraction: 7/9