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3 years ago

Whats the y-intercept of y= 1/3 x-1y

Mathematics

1 answer:

user100 [1]3 years ago

7 0

Answer:

(0, 0)

Reasoning:

Y-intercept means set x to 0 and solve, therefore;

$y=1/3(0) -1y$

$y=0-1y$

$2y=0$

$y=0/2=0$

Thus, the y-intercept is (0,0)

I hope this helps you and good luck!

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What is the volume of this container

KATRIN_1 [288]

Answer:

1468 in³

Step-by-step explanation:

First get get the total volume of the rectangular prism:

length l = 10 in

width w = 15 in

height h = 10 in

diagonal d = 20.6155281 in

total surface area Stot = 800 in²

lateral surface area Slat = 500 in²

top surface area Stop = 150 in²

bottom surface area Sbot = 150 in²

volume V = 1500 in

Now get get the volume from the missing rectangular prism:

ength l = 4 in

width w = 4 in

height h = 2 in

diagonal d = 6 in

total surface area Stot = 64 in²

lateral surface area Slat = 32 in²

top surface area Stop = 16 in²

bottom surface area Sbot = 16 in³

volume V = 32 in³

So 1500in³- 32 in³ =1468 in³

4 0

3 years ago

Read 2 more answers

Find the APR, rounded to the nearest tenth of a percent (one decimal place) for the loan. Purchase a living room set for $4,900

WITCHER [35]

9514 1404 393

Answer:

14.3%

Step-by-step explanation:

We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.

The APR is about 14.3%.

_____

The amount to be repaid is calculated using the simple interest formula:

A = P(1 +rt) = $4900(1 +0.08·4) = $6468

Then the required monthly payment (for 48 months) is ...

$6468/48 = $134.75

The payment amount for a 48-payment loan at rate r on a principal of $4900 will be ...

A = 4900(r/12)/(1 -(1 +r/12)^-48)

In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).

_____

Additional comment

The second attachment uses a spreadsheet for the same purpose. Here, we have used Go.ogle Sheets with a "Goal Seek" add-on to adjust the value in cell B5 so that the computed payment on the loan (cell B6) is the same as the value we calculated in cell B4.

We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.