Answer:
Step-by-step explanation:
Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x
6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18
the full segment HK is 18, each half of it is 9 =HJ=JK
Answer: $5000; $2000
Step-by-step explanation:
Simolw interest is calculated as: PRT/100
where,
P = principal
R = rate
T = time
Let the money in the 4-yr cd be represented by y.
Since rate = 5.2%
Simple interest = (y × 5.2 × 4)/100
Since he invested $3000 less in a 18-month CD, Let the money in the 18-month CD be represented by (y - $3000).
Then, S.I = [(y - $3000) × 3 × 1.5]/100
The total interest = $1130
We then equate the two simple interest together. This will be:
= (y × 5.2 × 4)/100 + (y - $3000) × 3 × 1.5]/100 = $1130
0.208y + 0.045(y - $3000) = $1130
0.208y + 0.045y - $135 = $1130
0.253y = $1130 + $135
0.253y = $1265
y = $1265/0.253
y = $5000
The money invested in 4-yr CD = $5000
The money invested in the 18-month CD = $5000 - $3000 = $2000
<span>△XLW≅△XDG
GX = WX = 5.7
hope it helps</span>
Answer:
-100
Step-by-step explanation:
(6+4) × (-3-7)
(10) × (-10)
= -100
