Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of the first year he had earned $590 in interest. How much was in each account? $ at 12% $ at 7%

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

First account:

Second account :

We are given that At the end of the first year he had earned $590 in interest.

So,

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

point slope form

y-y1=m(x-x1)

slope-intercept form

y=mx+b

slope formula

y2-y1/x2-x1

slope of line passing through (3.29,-9.19) & (3.29,4.72)

UNDEFINED

line perpendicular to y=3x-7 & passes through (3,5)

y-5 = -1/3(x-3)

slope of perpendicular lines

negative reciprocals (flip and change signs)

m --> -1/m

covering up method

only used with standard form

-4x + 7y = 56 Find x & y intercepts of equation

x = (-14,0) y = (0,8)

Terry is skiing down a steep hill. Terry's elevation E(t)

in feet after t seconds is given by E(t) = 2000 − 90t.

Write a complete sentence describing Terry's starting elevation and how it is changing over time.

Terry starts at an elevation of 2000 feet and descends at 90 feet per second.

If the graphs of two linear functions are perpendicular, describe the relationship between the slopes and the y-intercepts.

slope: negative reciprocals of one another.  

y-intercept: There is no relationship.