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3 years ago

Nine tenths of a sum of money is 45. Find the whole amount

2 answers:

7 0

If you would like to know the whole amount of money, you can calculate this using the following steps:

nine tenths of a sum of money is 45
9/10 * x = 45 /*10
9 * x = 45 * 10 /9
x = 45 * 10 / 9
x = 50

Result: Nine tenths of 50 is 45.

Morgarella [4.7K]3 years ago

7 0

The answer is 50.

First do 45 divided by 9 which is 5 then times by 10 results in 50.

A way to check this is by then finding 1/10 of 50 which is 5 then X by 9 is 45, which is what you originally started with.

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Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in four yea

Oksanka [162]

Answer:

Step-by-step explanation:

1% of 500 is 5

5*4(amount of years) = £20

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2 years ago

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Mila [183]

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3 years ago

Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

Then

$f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360$ .

6 0

3 years ago

Select the factors of x2 - 4x + 2y - 8

cricket20 [7]

None of the factors shown will give you the above number. In order to get the numbers that are on top, you would need two x's being multiplied by each other to get the x^2 value. Since none of the options have that, it is impossible to achieve that.

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3 years ago

What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoi

coldgirl [10]

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

$m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}$

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}$

5 0

2 years ago