All categories

1 year ago

Harry took a loan from the bank.D represents Harry's remaining debit (In dollars) after t months.D = -200t + 9000

Mathematics

1 answer:

lbvjy [14]1 year ago

5 0

D = His remaining debt in dollars

t = number of months

$\begin{gathered} D=-200t+9000 \\ D=9000-200t \end{gathered}$

The size of the loan will be $9000 . From the equation you can notice the product of 200 and t is always subtracted at t months from the amount he borrowed($9000)

You might be interested in

HELP PLZZZ

zhuklara [117]

none of the above, -90 and 270 are the same position on the unit circle

6 0

3 years ago

Please help! Find the product of (4x − 3y)^2

statuscvo [17]

Answer:

16x^2-24xy+9y^2.

Step-by-step explanation:

Since this is in the form of (x-y)^2, we can plug it into x^2-2xy+y^2.

So, we get 16x^2-24xy+9y^2.

3 0

3 years ago

Read 2 more answers

5x³+8x²-7x-6

Lady_Fox [76]

Answer:

Step-by-step explanation:

Whether we divide using long division or using synthetic division, the rule is the same: If, after division, there is no remainder (i. e., the remainder is zero), the divisor binomial is a factor or the associated root is indeed a root/zero/solution.

Divide 5x³+8x²-7x-6 by (x+2) using synthetic division. Use the divisor -2 (which comes from letting x+2 = 0):

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

-2 / 5 8 -7 -6

-10 4 6

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

5 -2 -3 0 Since the remainder here is 0, we know that

-2 is a root of 5x³+8x²-7x-6 and that (x+2) is

a factor of 5x³+8x²-7x-6.

Now check out the possibility that (x+1) is a factor of 5x^3 + 8x^2 - 7x - 6:

Use -1 as the divisor in synthetic division:

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

-1 / 5 8 -7 -6

-5 -3 10

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

5 3 -10 4

Since there is a non-zero remainder (4), we can conclude that (x + 1) is NOT a factor of the given polynomial expression.

5 0

3 years ago

Betty is stacking boxes at a factory. Each box is

Sliva [168]

Answer:

Step-by-step explanation:

In inches, the height of the ceiling is ...

(15 ft)(12 in/ft) = 180 in

The number of times 13.25 inches will fit in this space is ...

(180 in)/(13.25 in) ≈ 13.6

Betty can fit 13 whole boxes in the space.

5 0

3 years ago

In April 1974, Steve Prefontaine completed a 10 km race in a time of 27 min, 43.6 s. Suppose "Pre" was at the 7.15 km mark at a

ELEN [110]

Answer:

0.2583 m/s²

Step-by-step explanation:

The relationship between speed, distance, and time is ...

speed = distance/time

Of course, the relationship between the various units of measure is ...

1 km = 1000 m
1 min = 60 s

The average speed for the first 7.15 km was ...

(7150 m)/(1500 s) = 4 23/30 m/s

The acceleration is considered to be uniform over the 60-second period. The distance traveled during that time will be the same as the distance traveled at the initial speed for 30 s plus that traveled at the final speed for 30 s. That is, we can compute the final speed as though "Pre" ran 25.5 minutes (1530 s) at his initial speed and the remaining time (133.6 s) at his final speed.

The distance for 25.5 minutes at 4 23/30 m/s is ...

(1530 s)(143/30 m/s) = 7293 m

The remaining distance is then ...

10,000 -7,293 = 2,707 . . . meters

And the final speed is ...

(2707 m)/(133.6 s) ≈ 20.262 m/s

The acceleration is the change in speed divided by the time period:

(20.262 m/s -4.767 m/s)/(60 s) ≈ 0.2583 m/s²

_____

Comment on these numbers

According to this scenario, Pre's speed for the last 2000 meters, sustained for more than a minute, was more than 20 m/s -- about double the world record speed for a 100 meter sprint. It was a little more than 4 times his speed for the first 25 minutes.

5 0

3 years ago