There are $9842 in her account at the end of last year.
Step-by-step explanation:
Given,
Amount in account = $7600
Increment by the end of year = 29.5%
Amount of increase = 29.5% of amount in account
Amount of increase = 
Amount of increase = 0.295*7600 = $2242
The increase is $2242.
Amount after increase = 7600 + 2242 = $9842
There are $9842 in her account at the end of last year.
Keywords: percentage, division
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Answer:
Alternate exterior
Step-by-step explanation:
They are on opposite sides and both exterior
Answer:
Holly's score is an outlier because the mean of the data is 83, and 30 is very far then 83.
The mean is 83
The median is 87
Removing the outlier change the mean because the mean became higher.
The mean was most affected by the outlier because the mean changed to 86. 31
Answer:
Step-by-step explanation:
Charges up to 20 passengers = $540 per person per day
Total charges = 540 × 20 = $10800
If x passengers above 20 sign up for the cruise then total number of passengers = (20 + x)
Total revenue = $(20+x)
But each fare is reduced by $7 for additional passenger above 20 then revenue generated R(x) = 540(20+x) - 7x
R(x) = 10800 + 540x - 7x
R(x) = 10800 + 533x
a). Revenue per day realized R = 10800 + 533x
b). R(48) = 10800 + 48×533
= $36,384
C). R(78) = 10800 + 78×543
= $53,154
Answer:
d. 16x² + y² = 16
Step-by-step explanation:
Standard form of an ellipse is:
x² / a² + y² / b² = 1
If b > a, the ellipse has a vertical orientation.
We can ignore options b and c, since they have minus signs in them.
Convert the other options to standard form:
a. x² / (1/16) + y² / (1/25) = 1
x² / (1/4)² + y² / (1/5)² = 1
1/4 > 1/5
d. x² + y² / 16 = 1
x² / 1² + y² / 4² = 1
1 < 4
e. x² / 16 + y² = 1
x² / 4² + y² / 1² = 1
4 > 1
Of these three options, only d is a vertical ellipse.
