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1 year ago

What is the solution to to the equation x − 2/5 = −1?

Mathematics

2 answers:

Dima020 [189]1 year ago

8 0

$x - \frac{2}{5} = - 1$

Move the constant to the right-hand side and change its sign

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

Calculate the sum

$x = - \frac{3}{5}$

Convert it into decimal

$x = - 0.6$

ZanzabumX [31]1 year ago

6 0

Answer:

x = -0.6

Step-by-step Solution:

Isolate the variable x to get the answer.

x − 2/5 = −1
=> x = -1 + 2/5
=> x = -1 + 0.4
=> x = -0.6

Hence, the value of x is -0.6.

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a family buys a new home for $212,500 and pays a 20% down payment ($42,500). if the mortgage is for 15 years at 5.75% interest w

diamong [38]

Answer:

Their monthly house payment is of $2,184.65.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A family buys a new home for $212,500 and pays a 20% down payment ($42,500).

This means that the loan is of 212,500 - 42,500 = $170,000, that is, $P = 170,000$

Value of the loan in 15 years:

15 years means that $t = 15$

5.75% interest means that $r = 0.0575$

Compounded yearly, so $n = 1$

Then

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(15) = 170000(1 + \frac{0.0575}{1})^{15}$

$A(15) = 393237$

Monthly payment:

Total of $393,237 in 15*12 months. So

$M = \frac{393237}{15*12} = 2184.65$

Their monthly house payment is of $2,184.65.

5 0

2 years ago

Where can I find the shaded area of this diagram?

erik [133]

To find the area of the figure, we divide it into two rectangles as follows:

And we find the area of each rectangle, which is given by:

$\begin{gathered} A=b\cdot h \\ \text{where b = base and h = height} \end{gathered}$

Area rectangle 1:

$A=3\cdot10=30m^2$

Area rectangle 2:

$A=4\cdot6=24m^2$

Therefore, the shaded area of the diagram is:

$A=30+24=54m^2$

Answer: 54 m^2

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10 months ago

Can someone help me round 621x29

wlad13 [49]

Your rounded number is 18010

The reason for this is because when you multiply 621X29, you get 18009. When you round numbers, you want to see how the numbers are. If a number is 4 or below, you will make that number a zero or not count it, whereas numbers above 5 will go up. I hope this helps and if you have any questions, let me know

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2 years ago

What is the distance from - 12 to -5 on a number line

valkas [14]

Answer:

positive 7

Step-by-step explanation:

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2 years ago

Dividing decimals a) 56.58 b) 10.71/0.75

MrRissso [65]

Answer:

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Step-by-step explanation:

Part A is incomplete.

Part B:

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Best of Luck!

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2 years ago

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