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mr Goodwill [35]
2 years ago
5

Mr. Guny deposits $4,900 in a savings account that pays 3 1/2% interest compounded quarterly.

Mathematics
1 answer:
Fittoniya [83]2 years ago
7 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A spreadsheet performs these computations nicely. Each quarter's interest is 0.035/4 times the balance at the end of the previous quarter, rounded to the nearest penny. Each quarter's balance is the sum of the interest and the previous balance.

See the attached for the numbers requested.

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Factor the polynomial expression 15x^2 - 2x - 8
AVprozaik [17]

Answer:

(3 x + 2) (5 x - 4)

Step-by-step explanation:

Factor the following:

15 x^2 - 2 x - 8

Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):

5 x (3 x + 2) - 4 (3 x + 2)

Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):

Answer: (3 x + 2) (5 x - 4)

4 0
2 years ago
Express x in term of y:x/7+2y=6​
lions [1.4K]

Answer:

You have to multiply the denorminator to both sides in order to make x the subject :

\frac{x}{7 + 2y}  = 6

x = 6(7 + 2y)

8 0
1 year ago
The graph represents the feasible region for the system:
morpeh [17]

We have been given a system of inequalities and an objective function.

The inequalities are given as:

y\leq 2x\\
x+y\leq 45\\
x\leq 30\\

And the objective function is given as:

P=25x+20y

In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.

The graph of the region is shown below:

From the graph, we can see that corner points of the feasible region are:

(x,y) = (15,30),(30,15) and (30,60).

Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.

\text{At (15,30)}\Leftrightarrow P=25\cdot 15+20\cdot 30=975\\
\text{At (30,15)}\Leftrightarrow P=25\cdot 30+20\cdot 15=1050\\
\text{At (30,60)}\Leftrightarrow P=25\cdot 30+20\cdot 60=1950\\

Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30

3 0
2 years ago
Read 2 more answers
A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling sta
Sergeu [11.5K]

Answer:

D

Step-by-step explanation:

Edge 2020

8 0
2 years ago
Read 2 more answers
billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet. what is the area, in s
xxTIMURxx [149]
Area=πr^2

 find the area then divide by 8


we know that diameter=2radius or diameter/2=radius so 
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
5 0
1 year ago
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