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3 years ago

You are paying off a student loan in monthly installments. After

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

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Contact [7]

Answer:

3. $\displaystyle 4,12$

2. $\displaystyle \: \: \: \: \: - \\ 0,46$

1. $\displaystyle 0,875$

Step-by-step explanation:

3. Every 25 is worth 4, and since 3 by 4 is 12, 3⁄25 gets set to ",12", then attach the whole number [4] to it, giving you 4,12.

2. Every 15 is worth 6⅔, and since 7 by 6⅔ is 46⅔, moving the decimal mark twice to the left will give you the above answer, in bar notation, since it is a repeated decimal.

1. Every 8 is worth 12½, and since 7 by 12½ is 87½ [87,5], moving the decimal mark twice to the left will give you 0,875.

I am joyous to assist you anytime.

5 0

3 years ago

Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

2 years ago

1 What is the value of the expression below?

lozanna [386]

Answer:

a - 1/50 is the ans

1/5 divided by 10 = 0.02

1/50 is also 0.02

7 0

3 years ago

Help asap will give brainliest!!!!

GarryVolchara [31]

Answer:

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = $\frac{1}{x+5}$ - 1 ( add 1 to both sides )

y + 1 = $\frac{1}{x+5}$ ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = $\frac{1}{y+1}$ ( subtract 5 from both sides )

x = $\frac{1}{y+1}$ - 5

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = $\frac{1}{x+1}$ - 5 where x ≠ - 1

7 0

3 years ago

5. A ball is thrown upward with an initial velocity of 50 feet per second. The

dangina [55]

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2 + 30t = 0

t(-16t + 30) = 0

t = 0 or -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH

7 0

2 years ago