Answer:
-4
Step-by-step explanation:
First, multiply
-12*2+8*2/-5-(-7)
= -8/-5-(-7)
Second do -5-(-7)
= -8/2
= -4
Answer:
C
Step-by-step explanation:
A = 
r²
so we do
5² = 25 *
25 *
= 78.5 square units
Answer:
F = $11,421.90
Final value after 5 years F = $11,421.90
Complete question;
You purchased a vehicle for $32,000. It's value will depreciate at a rate of 18.62%. What will it's value be in 5 years, when you finally have it paid off
Step-by-step explanation:
Given;
Initial value P = $32,000
Depreciation rate r = 18.62% = 0.1862
Time t = 5
Final value = F
Using the compound depreciation formula;
F = P(1 - r)^t
Substituting the values;
F = $32,000(1 - 0.1862)^5
F = $11,421.90
Final value F = $11,421.90
The given function is : y= f(x) =49 [\frac{1}{7}]^x
The statements which are true regarding this function is
1. As you can observe that y is defined for all values of x , so Domain is set of all values that x can take which is set of all real numbers.
2. Also, x =\frac {\log[\frac{y}{49}]}{-\log7}, so x is defined for all values of y. Range is all values that y can take which is also set of all real numbers greater than zero, i.e y>0.
As ,x =0 then y= 49 and x_{1} =1 then y_{1} = 7,
so ,y_{1} = \frac{y}{7}.
So, Option (1),(4) and (5) are correct.
Answer:
19.6 cubic centimeters
Step-by-step explanation:
The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.
Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is 
.
We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:
x / 66 = 8 / 27
Cross-multiply:
27x = 66 * 8 = 528
Divide by 27:
x = 528/27 ≈ 19.6
The answer is thus 19.6 cubic centimeters.
<em>~ an aesthetics lover</em>
