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3 years ago

Round to the whole number: 46.94= and 7.09=. What is 10/40=.

Mathematics

1 answer:

frez [133]3 years ago

6 0

46.94 ≈ 47

7.09 ≈ 7

10/40 = (10*1)/(10*4) = (10/10)*(1/4) = 1/4

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A class has 6 boys and 15 girls. What is the ratio of boys to girls

Over [174]

The answer is 6:15, but if u need to simplify the answer would be 2:5.

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2 years ago

Find the total in the account with the following facts monthly contributions =$180 employer matching 25% interest rate 4.99% yea

algol13

Answer:

The amount that will be in the account after 38 years is $ 36811,05

Step-by-step explanation:

For resolved this exercise used the next equation

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

Dates

i=- 2.05% 12 = 0,1708% = 0.0017

The interest is divided for 12 because is annual and the formula is mensual

t = 15yearsx12 = 180 months

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R(1-(1 + i)-) Ap =

220(1-(1 + 0.0017)-180) Ap = 0.0017

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The amount that will be in the account after 15 years is $ 95,321.85

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Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

i=- 4,99% -= 0,415% = 0.0041

The interest is divided for 12 because is annual and the formula is mensual

t = 38yearsx12 = 456 months

R = 180$

R(1-(1 + i)-) Ap =

Ap = 180(1-(1 + 0.0041) -456 0.0041

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3 years ago

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Answer:

(2,-5) and (2,1).

Step-by-step explanation:

We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.

A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is the radius.

$(x-(-2))^2+(y-(-4))^2=(5)^2$

$(x+2)^2+(y+2)^2=25$

Now, put x=2.

$(2+2)^2+(y+2)^2=25$

$(4)^2+(y+2)^2=25$

$(y+2)^2=25-16$

$(y+2)^2=9$

Taking square root on both sides.

$y+2=\pm\sqrt{9}$

$y+2=\pm3$

$y+2=-3\text{ or }y+2=3$

$y=-5\text{ or }y=1$

So, the y-coordinates of the points are -5 and 1.

Therefore, the required points are (2,-5) and (2,1).

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