Answer:
64 ivy stems.
Step-by-step explanation:
Given:
A wedding planner uses 72 ivy stems for 18 centerpieces.
When she arrives at the venue, she realizes she will only need 16 centerpieces.
Question asked:
How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same?
Solution:
As wedding planner uses 72 ivy stems for 18 centerpieces:
Ratio of ivy stems to centerpieces =
As she realizes that she needs only 16 centerpieces:
Let ivy stems should be used to stays the ratio same =
Now, to do the ratio same:-
Old ratio =
New ratio =
To do the ratio same:-
By cross multiplication:
Dividing both sides by 18
Therefore, 64 ivy stems she should use so that the ratio of ivy stems to centerpieces stays the same.
f(x) = (5)–x
f(x) = ()x
f(x) = 5()–x
f(x) = 5(5)x
f(x) = 5(5)–x
Answer:
The correct option is D. f(x) = 5()-x
Step-by-step explanation:
If a function f(x) is reflected over axis then the resultant equation of the function f(x) changes to f(-x)
Now, in the given problem the function is given to be : f(x) = 5()x
So, if we reflect the given function f(x) over the y- axis then the equation of the function changes to f(-x)
Hence, The required reflected equation of the given function f(x) is 5()-x
Therefore, The correct option is D. f(x) = 5()-x
1a) Calculate how much Cindy will have to pay in Social Security tax (6.2%) based on this salary.
1b) Calculate how much Cindy will have to pay in Social Security tax if the tax was increased by 1.89%.
2a) Calculate Cindy’s annual Social Security benefit (about 42%) if her salary remains unchanged until she retires (annual average is $45,000).
2b) Calculate Cindy’s annual Social Security benefit if her salary remains unchanged but benefits (based on her annual salary of $45,000) were cut from 42% to 29%.
3) If Cindy were given a choice between the increase in Social Security tax now or the decrease in Social Security benefits when she retires, which would you recommend she choose? Explain your answer thoroughly.
Answer:
1a) $45,000 * 0.062 = $2,790
1b) 6.2% + 1.89% = 8.09%; $45,000 * 0.0809 = $3640.50
2a) $45,000 * 0.42 = $18,900
2b) 42% - 13% = 29% $45,000 * 0.029 = $13,050
3) You should probably recommend she pay the extra taxes now. If the tax were increased by 1.89%. Cindy would have to pay an extra $3640.50 - $2,790 = $850.50 per year for the 32 years before she retires. This adds up to $27,216 over the length of 32 years. On the other hand, if benefits were decreased from 42% of her salary to 29% of her salary the time of Cindy’s retirement (approximations), she would receive $18,900 - $13,050 = $5,850 less per year after she retires. This adds up to $58,500 in just 10 years.
Step-by-step explanation:
This is the answer they have given me.
Answer:
756 m²
Step-by-step explanation:
The surface area is the function of 2 dimensions.
Scale factor is
Surface are for the bigger solid will be 1.5*1.5 times the area of the smaller one
The standard deviation of the data from the mean is √variance, which is: 6.
The standard deviation can be gotten by finding the square root of the variance of the data. That is, Standard deviation = √variance.
Given the following:
Variance = 36
Standard deviation = √36
Standard deviation from the mean = 6
Learn more about the standard deviation on:
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