Answer:
angle BAC is complementary to angle ACB
Step-by-step explanation:
Complementary angles add up to 90 degrees.
In a triangle, the sum of angles is 180 degrees.
ABC is a right triangle, so angles a+c=90 degrees.
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
Both f(x) and g(x) have the same range of [0,-infinity).
<h3>What is a
function?</h3>
A function is an expression that shows the relationship between two or more numbers and variables.
Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:
Both f(x) and g(x) have the same range of [0,-infinity).
Find out more on function at: brainly.com/question/25638609
Answer:
We have
Stock = $200
Bonds = $100
Substitute these values into 1.08s+1.02b, where 's' is stock and 'b' is bond
1.08(200)+1.02(100)=318
Predicted end of year value is $318
Step-by-step explanation:
Answer:
The amount invested at 9% is $93000
The amount invested at 10% is $303000
Step-by-step explanation:
Let the amount invested at 9% interest rate be x
And the amount invested at 10% rate be y
Simple Interest from x in a year = 0.09x
Simple Interest from y in a year = 0.1y
But y = 24000 + 3x
And the sun of the interests, 0.09x + 0.1y = 38670
Now we have a simultaneous eqn
y = 24000 + 3x (eqn 1)
0.09x + 0.1y = 38670 (eqn)
Substitute y into eqn 2
0.09x + 0.1(24000 + 3x) = 38670
0.09x + 2400 + 0.3x = 38670
0.39x = 38670 - 2400
x = 36270/0.39 = $93000
y = 24000 + 3x = 24000 + 3 × 93000 = $303000
