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denpristay [2]
3 years ago
12

Four candidates from Universal Executive Search Inc. Are interviewed by CanAl Investment Company for the position of chief finan

cial officer (CFO). The travel costs of the four candidates are $1,573.83, $2,175.56, $1,264.95, and $1,843.25. CanAl spent $4,500.00 on advertising and paid Universal Executive Search Inc. 20% of the starting salary. If CanAl spent $36,357.59 in total recruiting costs, what starting salary did it pay its new CFO?
Mathematics
1 answer:
ira [324]3 years ago
8 0

Answer: $125,000

Step-by-step explanation:

Let the starting salary be x.

To determine the starting salary, we have to add all the expenses paid together. This will be:

$1,573.83 + $2,175.56 + $1,264.95 + $1,843.25 + $4,500.00 + (20% × x) = $36,357.59

$11357.59 + 0.2x = $36,357.59

0.2x = $36,357.59 - $11357.59

0.2x = $25000

x = $25000 / 0.2

x = $125,000

The starting salary is $125,000.

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Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How
mixer [17]
To solve this, we are going to use the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A is the final amount after t years 
P is the initial investment 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year

For the first 4 years we know that: P=2350, r= \frac{4.2}{100} =0.042, t=4, and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, n=1. Lest replace those values in our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=2350(1+ \frac{0.042}{1} )^{(1)(4)}
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A=2770.38

Now, for the next 6 years the intial investment will be the final amount from our previous step, so P=2770.38. We also know that: r= \frac{4.9}{100} =0.049, t=6, and n=1. Lets replace those values in our formula one more time:
A=P(1+ \frac{r}{n} )^{nt}
A=2770.38(1+ \frac{0.049}{1})^{(1)(6)
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4 0
4 years ago
Another day, another math problem 3
Goshia [24]

If f(x)=x²+2 and g(x)=x²+5 then the domain of  the (fog) (x) is (-∞,∞).

Given the f(x)=x²+2 and g(x)=x²+5

We have to find the domain of  the (fog) (x)

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

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Now on any real value of x the value of (fog) (x) exists therefore (fog) (x) can take all the values of the real number.

So domain (fog) (x)= (-∞,∞).

Learn more about the domain here: brainly.com/question/26098895

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8 0
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If James needs 3 pounds of crackers, and
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Step-by-step explanation:

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