Answer:
y= 20 m
x= 15 m
z= 22 degree
Step-by-step explanation:
15+x=30 m
x=30-15
x= 15 m
z-18=40
z= 40-18
z= 22m
Use the given values in the compound interest formula to solve for time, n.
A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.
2800 = 1900(1 + 0.025)^n
2800 = 1900(1.025)^n
2800/1900 = (1.025)^n
28/19 = (1.025)^n
take the natural log of both sides to solve for exponent.
ln(28/19) = ln(1.025^n)
power rule of logarithmic moves exponent
ln(28/19) = n*ln(1.025)
ln(28/19) / ln(1.025) = n
put into a calculator
15.7 years = n
Answer:
12
Step-by-step explanation:
Distribute the negative which would get your 3x + 6 -3x + 6. The 3x would cancel out and you would add 6+6 = 12
Answer:

Step-by-step explanation:
Given voltage of primary coil is 
And voltage of secondary coil is 
A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil
and secondary coil
.
Following equation represents the relation between them.

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

Answer:
he grows by 5 cm every year between 1999 and 2006
Step-by-step explanation:
This is a arithmetic progression problem with the formula;
T_n = a + (n - 1)d
We are told that In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006.
Thus;
a = 146
d = 2006 - 1999 = 7
Thus;
176 = 146 + (7 - 1)d
176 - 146 = 6d
30 = 6d
d = 30/6
d = 5 cm
Thus, he grows by 5 cm every year between 1999 and 2006