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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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Find the volume of this cylinder. Give your answer to 1 decimal place. 9 cm 20 cm

7nadin3 [17]

If 9 is the radius and 20 is the height then it would be 5089.4 cm^3

7 0

3 years ago

Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

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

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

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

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

5 0

3 years ago

What is the distance around a triangle with the sides measuring 2⅛, 3½ and 2½?

Marta_Voda [28]

So when you have data given this kind of form... you should convert to decimal first.
So that would be:
a ≈ 2.12
b = 3.5
c = 2.5
Now just place the simple perimeter formula, and sum all sides.

7 0

3 years ago

What is the discriminant of 3 x squared minus 10 x = negative 2? 76 94 106 124

abruzzese [7]

Answer:

Step-by-step explanation:

The discriminant is $b^{2} - 4ac$ part of the quadratic formula.