Given x varies inversely with y and xy = 2, what is the value of x when y = 1?a) -1

b) 1/2

c)1

d) 2

Answers

Answer 1

Answer: Answer is (d).

Let's take the constant as K.
x=K. (1/y)----(1)'
K= xy
so; according to the data given above K=2.

Let's substitute K=2 & y=1 to ----(1)'

x=2x (1/1)
x= 2×1
so x = 2... :)

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In a circle of radius 10 cm, a sector has an area of 40(pi) sq. cm. What is the degree measure of the arc of the sector?

Answers

the main formula is

sector area = n / 360° x Pi r²

4 = n / 360 x r² = n° / 36,

144° = n

Answer:

The degree measure of the arc of the sector is $45.85 degrees\n$

Step-by-step explanation:

The area of a sector is given by

$(n)/(360) \pi r^(2)\n$

Substituting the values in above equation, we get

$40 = (n)/(360) (3.14)10^2\nn = 45.85\n$

An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months. Money is 9% compounded monthly. Which is lower, the cash price or the present value of the installment terms? Explain.

Answers

The cash price would be lower. A further explanation is below.

According to the question,

Interest rate per month,

$r = (9 \ percent)/(12)$

$= 0.75$ (%)

hence,

The Present value of the monthly payment will be:

= $PMT* \frac{{(1 + Interest \ rate)^(number \ of \ years) - 1}}{Interest \ rate}$

= $1499* ([(1 + 0.75 \ percent)^(12) - 1] )/(0.75 \ percent)$

= $18748.89$

As we can see that the cash price is 15,999. Thus the above answer is right.

Learn more:

brainly.com/question/4187682

Answer:

Cash price

Step-by-step explanation:

The computation is shown below:

The Interest rate per month (r) = (9% ÷ 12) = 0.75%

Now Present value of the monthly payment is

= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}

= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}

= 18,748.89

And the cash price is 15,999

So, the cash price would be lower

From midnight to 6:00 am, the temperature rose 1.05°C each hour. If the temperature at 6:00 am was -5.7°C, what was the temperature at midnight?

Answers

Answer:

13.2 C

Step-by-step explanation:

6am the temp is at -5.7

from 6am to 12pm is 18 hours apart

so if the temp rises at 1.05 every hour you multiply 1.05*18= 18.9

18.9-5.7=13.2

You have recently taken a position in a bank. Your first client would like assistance planning for a loan. You want to set up a detailed loan amortization table. Open the attached Excel file LoanAmortization.xlsx. This file contains a worksheet with a loan parameters area (i.e., input area), a summary area, and amortization table column labels. You will use this template to complete a detailed loan amortization table. You want to build in mechanisms to prevent formula errors if input data are missing and to hide zeros from displaying if your client takes out a shorter-term loan or pay it off early. However, you must keep formulas in place for a traditional 30-year loan. In addition, you will notice overpayments on the last payment if you pay extra toward the principal each month. To make the amortization table as flexible as possible and to avoid errors, you will create several nested IF functions.

Answers

The question can't be answered, because you haven't included the Excel file LoanAmortization.xlsx. (But I should still get the 5 points ... at least ... for READING the entire question. )

The Sum of three consecutive odd integers is 195

Answers

consecutive odd are 2 away from each other
n, n+2, n+4

they add to 195
n+n+2+n+4=195
3n+6=195
subtract 6
3n=189
divide 3
n=63

63+2=65
63+4=67

the numbers are 63,65,67

The equation is 63+65+67=195

What is the x-intercept of the line with the equation 4x 2y = 12?