A. $960.
B. $940?
c. Neither.
I hope thiss helped! I could be wrong, but I do believe A. and C. are correct.
C. 4x + y = 21
4(3) + 9 = 21
12 + 9 = 21
21 = 21
Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
Answer:
Associative Property
Step-by-step explanation:
Answer:
a = 102.05
b = 393.76
B = 93°
Step-by-step explanation:
The law of sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
Since the sum of angles in a triangle is 180°, angle B must be ...
B = 180° -72° -15° = 93°
and the unknown sides must be ...
a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192
B = 93°
b = 375·sin(93°)/sin(72°) ≈ 393.75796
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The rounding requirement got cut out of your picture, so we can't help you with that.
