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Marrrta [24]
3 years ago
12

A number divided by 3 less then itself gives a quotient of 8/5. Find the number

Mathematics
1 answer:
Airida [17]3 years ago
8 0
We Can Let "A Number" Be M.
M Divided By 3 Less Than Itself Gives Quotient Of 8/5.
M/(M-3) = 8/5. Lets Solve.

\frac{M}{(M - 3)}  =  \frac{8}{5}
So, What Number Can Have 3 Subtracted From It To Get Five, But Also Be Equal To Eight?
Eight Of Course!!!
So, We Know That The Number Equals 8.
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A slope of - 5/3 passes through (-6, 8)
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Answer:

y=-5/3x-2

Step-by-step explanation:

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In which area of the diagram does the number −11 belong?
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11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the l
kykrilka [37]

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

Given mortgage loan value of $389900

Interest rate of 4.85%

We are asked to calculate the interest over the life of the loan.

We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

Formula for constant payments :

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= constant/monthly payments

r= interest rate on the mortgage loan

n= number of payments = 30×12= 360

P= mortgage loan given

A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

=$389900×0.0485×1231340.79/25388468.94

=$389900×0.0485×0.04850

A= $917.142

Payment for five years(with interest)= $917.142×60= $55028.52

Calculate balloon payment:

FV= PV(1+r)^n - P((1+r)^n-1/r)

Where FV= future value of balloon payment

PV= initial loan given

r= interest rate on loan

n= number of payments

P= monthly payments

Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

=$389900×1.2738-917.142(0.2738/0.004041)

=$389900×1.2738-917.142×67.756

= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

=

6 0
3 years ago
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1/3 x 4/4 = 4/12
4/12 + 5/12 = 9/12
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Write 10ab + 15b in factored form.
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Step-by-step explanation:

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