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Afina-wow [57]
2 years ago
14

$300 invested at 12% compounded monthly after a period of 1.5 years

Mathematics
1 answer:
GalinKa [24]2 years ago
4 0

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

300x 1.12

336e1.12

A = $ 358.84

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Please help with parts a,b, and c
Elena-2011 [213]

Answer:

3000 = n*240 +s*360

1050 = 90n+120s

On this particular day, there  are 5 nurses and 5 support staff working

Step-by-step explanation:

Nurses work 240 minutes per day

Support staff work 360 minutes per day

Let n = number of nurses

Let s = number of support staff

a) 3000 minutes are worked

The total number of minutes worked = the number of minutes worked by a nurse per day times the number of nurses plus the number of minutes worked per day by a support staff person times the number of support staff people

3000 = n*240 +s*360

b)  earnings per day = 1050

The total number of dollars earned each day= the wages of a nurse per day times the number of nurses each day plus the wages of a support staff person  per day times the  number of support staff people working each day

1050 = 90n+120s

c)  We have 2 equations and 2 unknowns

3000 = n*240 +s*360

1050 = 90n+120s

Divide each equation by 10

300=24n+36s

105 = 9n+12s

Multiply the second equation by -3

-315 = -27n -36s

Add this to the first equation to eliminate s

-315 = -27n -36s

300=24n+36s

---------------------

-15 = -3n

Divide by -3

-15/-3 = -3n/-3

5=n

There are 5 nurses working that day

Now we need to solve for s

105 = 9n+12s

105 = 9(5) +12s

105 = 45+12s

Subtract 45 from each side

105-45 = 45-45 +12s

60 = 12s

Divide by 12

60/12 = 12s/12

5 =s

There are 5 support staff working.

On this particular day, there  are 5 nurses and 5 support staff working

8 0
2 years ago
A bank charges $0.25 per check and its monthly fees are $10. If Jerome issues 10 checks in a month, how much will a monthly chec
blsea [12.9K]
For this case, the first thing we must do is define variables.
 We have then:
 x: number of checks.
 y: total cost.
 We now write the linear function that represents the problem.
 We have then:
 y = 0.25x + 10

 Then, Jerome issues 10 checks in a month.
 Therefore, we evaluate the function for x = 10.
 We have then:
 y = 0.25 (10) + 10

y = 2.5 + 10

y = 12.5
 Answer:
 
a monthly checking account will cost him about:
 
y = 12.5 $
3 0
2 years ago
Read 2 more answers
6x²-y³=1<br><br>differentiate the equation to dy/dx
kenny6666 [7]
Dy/dx=4x/y2 this is what i got 
hope this helps
5 0
3 years ago
The sum of 117 and 12 times a<br> number is negative 45. What is the number? | I
MissTica

Answer: - .35 or 13.5 depending on how the equation is written.

Step-by-step explanation:

-45 = (117+12)x

-45 = (129)x

-45/129 = x

roughly = - .35

If that's not it we can do:

-45 = 117+12(x)

-162 = 12x

x = 13.5

7 0
3 years ago
A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2(pi)/3
Svetach [21]

\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &radians\\ \cline{1-2} r=&10\\ \theta =&\frac{2\pi }{3} \end{cases}\implies s=10\left( \cfrac{2\pi }{3} \right)\implies s=\cfrac{20\pi }{3}\implies s\approx 20.94

6 0
3 years ago
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