Answer:
The second term defines the value that will be depreciated by the rate of 22 units for m months.
Step-by-step explanation:
Given is :
The value of the gadget after 'm' months = 2020 - 22m
This expression tells us that, each month Meghan's gadget's price falls by 22 units from the original value.
The original value of the gadget is 2020 units.
Therefore, the constant term (2020 )of the expression represents the original value of the gadget,
And the second term defines the value that will be depreciated by the rate of 22 units for m months. And m defines the number of months Meghan will keep the gadget.
x = longer section
y = shorter section
x + y = 109
x = 2y + 10
so we sub in eq 2 into eq 1
2y + 10 + y = 109
3y + 10 = 109
3y = 109 - 10
3y = 99
y = 99/3
y = 33 <=== shorter section is 33 cm
x = 2y + 10
x = 2(33) + 10
x = 66 + 10
x = 76 <=== longer section is 76 cm
Answer:
The confidence interval = (7.8 , 8.0)
Step-by-step explanation:
Confidence Interval formula =
Mean ± z × Standard deviation/√n
Mean = 7.9
Standard deviation = 0.9
n = number of samples = 164
z = z score of an 80% confidence interval = 1.282
Confidence Interval = 7.9 ± 1.282 × 0.9/√164
= 7.9 ± 0.0900966432
Confidence Interval
= 7.9 - 0.0900966432
= 7.8099033568
Approximately to 1 decimal place = 7.8
7.9 + 0.0900966432
= 7.9900966432
Approximately to 1 decimal place = 8.0
Therefore, the confidence interval = (7.8 , 8.0)
The value of an account at 8% compounded annually,
after 5 years have passed since your initial deposit, is
(the amount you originally put in) x (1.08)⁵ .
You didn't tell us how much Leslie invests at the beginning of the 5 years.
Whatever the amount is, it will become 46.9% greater in 5 years !
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