Answer:
$18500 at 6% and $28500 at 8%
Step-by-step explanation:
Let x represent the amount invested at 6%. Then x+10000 is the amount invested at 8%. The total income from the two investments is the sum of the products of the amount invested and the interest rate:
x·6% +(x+10000)·8% = 3390
0.14x + 800 = 3390 . . . . . . . . collect terms
0.14x = 2590 . . . . . . . . . . . . . .subtract 800
2590/0.14 = x = 18500 . . . . . divide by the coefficient of x
Sue has invested $18500 at 6% and $28500 at 8%.
To find the rate<span> of change, find the total change in price and then divide it by number of years over which it changed. So the answer is </span><span>$0.603</span><span> which is </span><span>$0.20 per pound per year</span><span>.</span>
Answer:
x = 12
Step-by-step explanation:
The two angles are complementary since they form a 90 degree angle.
35+ 4x+7 = 90
Combine like terms
42 +4x = 90
Subtract 42 from each side
42-42 +4x =90-42
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =

Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.