Parallelogram area = base * height
240 = base * 20
base = 240 / 20
base = 12 cm
Answer:
153.158 ; 177.642
Step-by-step explanation:
Given the following:
Sample mean (m) = 165.40
Sample standard deviation (s) = 21.70
Sample size (n) = 17
α = 98%
Confidence interval = m ± z(SE)
z at 98% = 2.326
SE = s/√n
SE = 21.70/√17 = 5.2630230
Hence,
Confidence interval = 165.40 ± 2.326(5.2630230)
165.40 - 12.241791498 OR 165.40 + 12.241791498
153.158 ; 177.642
Answer: x=8
Step-by-step explanation:
Distribute 5(x) and 5(-2)
-12 + 6x = 6 + 5x + (-10) OR 5x - 10
Flip if you'd like
6x - 12 = 6 + 5x - 10
Combine like terms
6x−12=(5x)+(6+−10)
6x - 12 = 5x - 4
Subtract 5x from both 6 and 5
6x - 5x = 5x - 5x
5x cancels out, so you're left with x, 12, and -4
x - 12 = -4
Add 12 to 12 and -4
12 + 12 = -4 + 12
12 cancels out
-4 + 12 = 8
x = 8
Answer:
2
Step-by-step explanation:
2x(5+4)=(_x5)+(_x4)
lets start with 2x(5+4)
(5+4)=9
so we are left with 2x9
2x9=18
so now we have 18=(_x5)+(_x4)
lets try 2 for the blank spaces
18=(2x5)+(2x4)
2x5=10
2x4=8
10+8=18
2x(5+4)=(2x5)+(2x4)
It worked! Hope this helps :)
Answer:
Step-by-step explanation:
This is an Annuity question. It is asking for recurring monthly payment(PMT). <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>
Since the payments occur monthly , adjust the interest rate to monthly rate and multiply 40 years by 12 since we have 12 months in a year<em>.</em>
Total duration of investment ; N = 40*12 = 480
Interest rate; I/Y = 5.75% /12 = 0.4792%
Future value; FV = 6,000,000
Present value ; PV = 0
then CPT PMT = 3,222.912
Therefore $3,222.91 should be deposited each month to achieve the goal.