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4 years ago

Write the equation of the line parallel to the given line and passing through the given point. y=x+5 through (8,1)

Mathematics

1 answer:

aleksklad [387]4 years ago

8 0

$y - mx = b \\ 1 - 1(8) = b \\ 1 - 8 = b \\ - 7 = b \\ y = x - 7$

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Vsevolod [243]

Answer:

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3 years ago

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3 years ago

Find the size of each of 66 payments made at the end of each year into a 88% rate sinking fund which produces $36000 at the en

Assoli18 [71]

Answer: $7787.99

Step-by-step explanation:

We know that the formula to find the periodic payment on an annuity is given by :-

$P=\dfrac{r(PV)}{1-(1+r)^{-n}}$ , where PV is the present value , r is the rate of interest ( in decimal ) and n is the number of payments.

Given : Present value : $36000

Rate of interest = 8%=0.08

Time period = 6 years

Then , the periodic payment will be :-

$P=\dfrac{(0.08)(36000)}{1-(1+0.08)^{-6}}\\\\\Rightarrow\ P=\dfrac{2880}{0.3698}\\\\\Rightarrow\ P=\$7787.99$

Hence, the payment size is $7787.99.

8 0

3 years ago

Select the correct answer.

algol [13]

Answer:

its answer C. y=-8

Step-by-step explanation:

y=-8 passes through (-2, -8) and is parallel to y=3 because they're both horizontal

3 0

3 years ago

2 1/2 x 3 1/5 fast please

vova2212 [387]

Step-by-step explanation:

Let's turn each mixed fraction into an improper fraction:

$2 \frac{1}{2} =\frac{2}{2} +\frac{2}{2} +\frac{1}{2} =\frac{5}{2}$

$3\frac{1}{5} =\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{1}{5} =\frac{16}{5}$

Multiply:

$\frac{5}{2} \times \frac{16}{5} =\frac{80}{10}$

Simplify:

$\frac{80 \div 10}{10 \div 10} =\frac{8}{1} =8$

8 is your simplified product.

4 0

3 years ago