Answer:
Step-by-step explanation:
Note that:
Two angles are Complementary when they add up to 90 degrees
Two angles are supplementary when they add up to 180 degrees
Let the angle = x
If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.
90 - x = 180 - 4x
Step-by-step explanation:
by using similarity and enlargement
10/8 = 7+y/7
70=56+8y
8y=14
y= 7/4
10/8 = 5+x/5
50=40+8x
x = 8/10 = 4/5
Answer:
b=2/5
Step-by-step explanation:
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
9514 1404 393
Answer:
$2838.14
Step-by-step explanation:
Fill in the values and do the arithmetic.
A = 2000e^(0.07·5)
A = 2000e^0.35 ≈ 2838.14
The value of the investment in 5 years will be $2838.14.
