Answer:
Option C.) 6x=320
Step-by-step explanation:
we know that
The <u>Multiplication Property of Equality</u> states that if you multiply both sides of an equation by the same number, the sides remain equal
we have

Apply the multiplication property of equality
Multiply by 8 both sides


therefore
The answer is the Option C
Answer:
m=4
Step-by-step explanation:
−9(m+3)+14=−49
Step 1: Simplify both sides of the equation.
−9(m+3)+14=−49
(−9)(m)+(−9)(3)+14=−49(Distribute)
−9m+−27+14=−49
(−9m)+(−27+14)=−49(Combine Like Terms)
−9m+−13=−49
−9m−13=−49
Step 2: Add 13 to both sides.
−9m−13+13=−49+13
−9m=−36
Step 3: Divide both sides by -9.
−9m
−9
=
−36
−9
m=4
A bar graph is when you want to compare the data in the data set (which this data set does)
A line graph is used when the data set creates a straight line (which this data set does not)
A circle graph (also known as a pie chart) is used when the data set measures percentages that will total 100% (which this data set does not)
A stem plot is used when you want to show the frequency of the beginning digit <em>or digits</em> (which this data set does not)
Answer: A
Answer:
TU=4
Step-by-step explanation:
WU cuts the triangle in half (hint- angleTUW=90°)
so VU=TU
therefore, TU=4
The capital formation of the investment function over a given period is the
accumulated capital for the period.
- (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.
- (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.
Reasons:
(a) The given investment function is presented as follows;

(a) The capital formation is given as follows;

From the end of the second year to the end of the fifth year, we have;
The end of the second year can be taken as the beginning of the third year.
Therefore, for the three years; Year 3, year 4, and year 5, we have;

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87
(b) When the capital stock exceeds $100,000, we have;
![\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Cmathbf%7B%5Cleft%5B1000%20%5Ccdot%20%20e%5E%7B0.1%20%5Ccdot%20t%7D%7D%20%2B%20C%20%5Cright%5D%5Et_0%7D%20%3D%20100%2C000)
Which gives;




The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.
Learn more investment function here:
brainly.com/question/25300925