Answer:
28.3 that's the answer
Step-by-step explanation:
Answer as an improper fraction = 13/8
This is equivalent to the mixed number 1 & 5/8
In decimal form, 13/8 = 1.625
=========================================
Work Shown:
3/4 = (3/4)*(2/2)
3/4 = (3*2)/(4*2)
3/4 = 6/8
----------
7/8 + 3/4
7/8 + 6/8
(7+6)/8
13/8
So 7/8 + 3/4 = 13/8
30 because 5x6= 30. All you have to do if the fractions are already simplified, is multiply the denominators together.
Angle E=130degrees because those two are congruent. Therefore if you 180-130 you'll get the other angle in the triangle with 70degrees and y. 180-130=50degrees. Then add 50 and 70. 50+70=120degrees. A triangle is supposed to have 180 degrees inside.
180-120=60degrees.
Therefore y=60degrees
Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000
