<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
Answer:
Evaluate the terms inside of the parentheses
Step-by-step explanation:
According to PEMDAS, you always start solving an equation by answering what is inside of the parentheses first. (That's what the 'P' in PEMDAS stands for!)
Therefore, this is the correct answer.
Answer:
Step-by-step explanation:
<u>If I got it right, we have:</u>
- Formula Pf = P0*e^(rt)
- Pf = 75709
- P0 = 1349
- r = 25% = 0.25
- t = ?
<u>Substitute the given values and solve for t:</u>
- 75709 = 1349*e^(0.25t)
- e^(0.25t) = 75709/1349
- e^(0.25t) = 56.1223
- ln e^(0.25t) = ln 56.1223
- 0.25t = 4.03
- t = 4.03/0.25
- t = 16.12 hr
