Answer:
You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?
Step-by-step explanation:
let x=amt invested at 3% rate of interest.
22000-x=amt invested at 5% rate of interest.
.03x+.05(22000-x)=980
.03x+1100-.05x=980
.02x=120
x=6000
22000-x=16000
amt invested at 3% rate of interest=$6,000
amt invested at 5% rate of interest=$16,000
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Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
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Step-by-step explanation:
Point slope form: (y−y1) = m (x−x1), where (x1,y1) is the point, and m is the slope.
(y- (-4)) = (5/6)*(x - 8)
(y + 4) = (5/6)*(x - 8)
If you want in standard form
(y + 4) = (5/6)*x - (5/6)*8
y = (5/6) x - (5/6)*8 - 4
y = (5/6)x - (16/6)
Answer:
(y + 4) = (5/6)*(x - 8)
X=0. Y=-2. There is only one x value for this question.
Answer:
put a picture up
Step-by-step explanation: