Answer:
y= 2/3 x
Step-by-step explanation:
First plot the points on a Cartesian plan
You will notice a straight line passing through the origin (0,0)
Find the gradient of the line;
m=change in y/change in x
m=2-0/3-0 =2/3
Find the equation of the line
y-2/x-3 =2/3
3(y-2) = 2(x-3)
3y-6= 2x-6
3y=2x-6+6
3y=2x
y=2/3 x + 0
and 
. So we have a remainder of
and 
. Subtracting this from the previous remainder gives a new remainder
and 
. Subtracting this from the previous remainder gives a new one of
and we're done since 2 does not divide 
. So we have
Answer:
$2355.06
Step-by-step explanation:
Use the compound interest formula, filling in the numbers you know. Then solve for the number you don't know.
A = P(1 +r/n)^(nt)
where A is the account balance, P is the amount invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
Filling in the given values, we have ...
4000 = P(1 +.053/52)^(52·10) = P(1.6984738)
P = 4000/1.6984738 ≈ 2355.06
You would need to deposit $2355.06 in order to have $4000 in 10 years.
Answer:
Jasmine ran last week 37.2 miles
Step-by-step explanation:
Let
x ----> number of miles Rob ran last week
y ----> number of miles Jasmine ran last week
we know that
x=y-27.2 ----> equation A
x=10 ----> equation B
Substitute equation B in equation A and solve for y
10=y-27.2
y=10+27.2
y=37.2 miles
Divide the total amount by the portion size.
= 3 1/2 ÷ 1/4
convert 3 1/2 to improper fraction
= (2*3+1)/2 ÷ 1/4
= 7/2 ÷ 1/4
to divide a fraction, we multiply by the reciprocal/inverse of 1/4
= 7/2 * 4/1
multiply numerators, then multiply denominators
= (7*4)/(2*1)
= 28/2
= 14
ANSWER: 14
Hope this helps! :)
