Answer:
so principal amount is $7862.07
Step-by-step explanation:
Given data
rate = 7*1/4 % = 29/4 %
interest = $190
time = 4 months = 4/12 year
to find out
principal
solution
we know the simple interest formula i.e.
interest = ( principal × rate × time ) /100 ..................1
now put all value rate time and interest in equation 1 we get interest here
interest = ( principal × rate × time ) /100
190 = ( principal × 29/4 × 4/12 ) /100
principal = 190 × 12 ×100 / 29
principal = 7862.068966
so principal amount is $7862.07
Answer:
a) Option A is correct.
b) Option C is correct.
Step-by-step explanation:
a) Which of the following is the equation of the line passing through the points (1, 1) and (-3,5)?
We will use the equation
(y-y₁)=m(x-x₁)
m= (y₂-y₁)/(x₂-x₁)
m= (5-1)/(-3-1)
m= 4/-4
m= -1
Consider point (1,1) and Putting value of m
(y-y₁)=m(x-x₁)
(y-1)=1(x-1)
y-1=x-1
y=x-1+1
y=x
So, Option A is correct.
b) Which of the following is the equation of a line with a slope of 0 passing through (2,5)?
The formula used is:
y= mx+b
Finding b:
5=0(2)+b
=> b = 5
So, equation is:
y = mx+b
y=0x+5
y=5
So, Option C is correct.
Answer:
(3, 1)
Step-by-step explanation:
x+5y=8
-x+2y=-1
-------------
7y=7
y=7/7=1
x+5(1)=8
x+5=8
x=8-5=3
Answer: x=3, y=1.
Answer:
Step-by-step explanation:
Let the total amount ate by Tyler and Han be 24
Let the amount Tyler ate be x
Amount Han ate be y
If Tyler ate 3/4 of the total, then Amount ate by Tyler is expressed as;
x = 3/4of 24
x = 3/4×24
x = 3×6
x = 3(6)
x = 18
Hence the amount Tyler ate is 18
If Han ate 18 less than Tyler, the amount ate by Han will be;
Han y = 24-(3/4(24)
y = 24-{3(6)}
y = 24-18
y = 6
Hence the total Han ate is 6
