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2 years ago

What is 92.9 rounded to the nersst whole number

Mathematics

1 answer:

sammy [17]2 years ago

5 0

The nearest whole number would be 93 because you round up if the decimal place is greater than 5 and down if it's less.

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What is the square root of 8

sattari [20]

Answer:

Approximately 2.83

Step-by-step explanation:

4 0

2 years ago

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Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

2 years ago

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the equation of the line con

almond37 [142]

Answer:

$y=-x+r$

Step-by-step explanation:

we know that

The tangency point on the x-axis is (r,0)

The tangency point on the y-axis is (0,r)

Find the slope of the line containing the points of tangency

$m=\frac{0-r}{r-0}=-1$

Remember that the equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

$m=-1$

$b=r$

substitute

$y=-x+r$

4 0

3 years ago

Fill in the missing number to complete the linear equation that gives the rule for this table.

saul85 [17]

Answer: y= 1x + 1

Step-by-step explanation:

there both 1

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2 years ago

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6x + 5y = 147 8x + 4y = 156

satela [25.4K]

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all x-terms. It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

3 0

2 years ago