$10000 in certificate of deposit
$30000 in mutual funds
Step-by-step explanation:
Step 1:
Total amount Stephanie has inherited = $40000
Let x be the amount she should put in certificate of deposit.
So 40000-x is the amount to be deposited in mutual funds
Step 2:
Total interest she wants to earn is 5.4% of $40000 = 5.4*40000/100 = 2160
Interest from certificate of deposit = 2.1% of x = 2.1 * x /100
Interest from mutual funds is 6.5% = 6.5(40000-x)/100
Sum of the interest from both these equals 2160
so 2.1 * x /100 + 6.5(40000-x)/100 = 2160
=> 0.021x/100 + 2600-0.065x = 2160
=> -0.044x = -440 => x= 10000
Step 3 :
Hence Stephaine should invest $10000 in certificate of deposit and (40000-10000) = $30000 in mutual funds
Answer:
1600 items should not be defective
Step-by-step explanation:
To determine the number of items that are not defective, we multiply the number of items we have by the probability that they are not defective.
Not defective items = items * probability
= 2000 * 4/5
1600
slope =(y2-y1)/(x2-x1)
m=(-1-5)/(1--1)
m=-6/2
m=-3
y-y1=m(x-x1) point slope form
y-5 = -3 (x--1)
y-5 = -3 (x+1)
distribute
y-5 = -3x -3
add 5 to each side
y = -3x+2
Choice D
Answer:
<em>B ( 6 , 3 ) </em>
Step-by-step explanation:
( 
, 
)
( 
, 
)
Coordinates of midpoint are ( 
, 
)
~~~~~~~~~~~~~~~~~~
A ( - 7 , - 9 )
B ( x , y )
M ( - 0.5 , - 3 )
= - 0.5 ⇒ <em>x = 6</em>
= - 3 ⇒ <em>y = 3</em>
<em>B ( 6 , 3 )</em>
<span>437 = (21 + x)(21 - x), then x = 2, -2</span>
