Answer:We know the total amount of money invested. $17818
x+y=17818,
We know that the difference in interest earned by the two accounts is $490.33
0.11*x-0.06*y=490.33
x=17818-y
We substitute for x
0.11*(17818-y)-0.06*y=490.33
We multiply out
1959.98-0.11y-0.06*y=490.33
We combine like terms.
1469.65=0.17*y
Isolate y
y=1469.65/0.17
y=8645 at 6%
Calculate x
x=17818-8645
x=9173 at 11%
Check
0.11*9173-0.06*8645=490.33
interest earned at 11%=1009.03
interest earned at 6%=518.70
1009.03-518.7=490.33
490.33=490.33
Since this statement is TRUE and neither amount is negative then all is well.We know the total amount of money invested. $17818
x+y=17818,
We know that the difference in interest earned by the two accounts is $490.33
0.11*x-0.06*y=490.33
x=17818-y
We substitute for x
0.11*(17818-y)-0.06*y=490.33
We multiply out
1959.98-0.11y-0.06*y=490.33
We combine like terms.
1469.65=0.17*y
Isolate y
y=1469.65/0.17
y=8645 at 6%
Calculate x
x=17818-8645
x=9173 at 11%
Check
0.11*9173-0.06*8645=490.33
interest earned at 11%=1009.03
interest earned at 6%=518.70
1009.03-518.7=490.33
490.33=490.33
Since this statement is TRUE and neither amount is negative then all is well.
Answer:
3.16227766017
Step-by-step explanation:
Congruent. In other words, the angle on the inside- if that makes sense
y=8x+23
y=x/6-1/2
i believe this is the answer
Step-by-step explanation:
this consists of 5 sides
top and bottom (equal)
left
right
front
the total surface area is the sum of all 5 areas.
the area of a rectangle is
length × width
the area of a triangle is
baseline × height / 2
in our case we have
top and bottom : 10×4/2 × 2 = 10×4 = 40 cm²
left : 8×9 = 72 cm²
right : 5×9 = 45 cm²
front : 10×9 = 90 cm²
the total surface area is
40 + 72 + 45 + 90 = 247 cm²
