Answer:
$4000
Step-by-step explanation:
Given that :
Total interest earned = $150
Let amount invested (p) at 2% = x
Amount invested (p) at 3.25% = 4x
Interest = principal * rate * time
At 2%:
(x * 0.02 * 1 ) + (4x * 0.0325 * 1) = 150
0.02x + 0.13x = 150
0.15x = 150
x = 150 / 0.15
x = 1000
Hence,
Amount invested at 2% = x = 1000
Amount invested at 3.25% = 4x = 4(1000) = 4000
Check out the attached image for the answers.
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Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent.
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot
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Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.
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Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space
Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD
Answer:
y = 3x + 5
Step-by-step explanation:
Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1
so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,
y = 3x + b, I chose your first pair
11 = 3 x 2 + b
equals to,
11 = 6 + b
now we want b, by itself.
5 = b
so the total intercept form answer is
y = 3x + 5
I will check over it,
11 = 3 x 2 + 5
11 = 11
I hope this helped!
The sum of 3 fifteens and 4 twos will be 45 +8 = 53
40℅ is bigger because 1/5 as a percent is 20℅