You can read it of the graph which is (1,3) or also calculate it with vectors:
calculate the vector CD:
(5-(-3),2-4)=(8,-2)
to calculate the midpoint you need half of the vector length:
(8,-2)/2=(4,-1)
add the vector to C:
(-3,4)+(4,-1)=(1,3)=midpoint of CD
so it's the third option
Answer:
½[5^(x-3)] - 2
Step-by-step explanation:
After being compressed:
½(5^x)
3 units right
½[5^(x-3)]
2 units down
½[5^(x-3)] - 2
Answer:
Solution given.
The length of the prism is <u>5</u>m.
The width of the prism <u>is</u><u> </u><u>4</u> m.
The height of the prism is <u>3</u>m.
The prism holds a total <u>of5</u><u>*</u><u>4</u><u>=</u> <u>2</u><u>0</u> cubes.
The volume is <u>l</u><u>*</u><u>w</u><u>*</u><u>h</u><u>=</u><u>5</u><u>*</u><u>4</u><u>*</u><u>3</u><u>=</u><u> </u> <u>6</u><u>0</u>m3.
Answer:
4 years and 2 months
Step-by-step explanation:
<u>Simple interest formula</u>
A = P(1 + rt)
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- A = $500 × 2 = $1,000
- P = $500
- r = 24% = 0.24
Substitute the given values into the formula and solve for t:







Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.