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3 years ago

If 7800 is invested at 5.2% interest compounded monthly, how much will the investment be work in 11 years

Mathematics

1 answer:

Marrrta [24]3 years ago

7 0

Answer:

The investment will become $13803.

Step-by-step explanation:

We are given that a principal amount of $7800 is invested at an APR of 5.2% compounded monthly.

We have to calculate the matured sum of money after 11 years.

Now, the monthly interest rate is $\frac{5.2}{12} = 0.433\%$ and the principal is compounded for (11 × 12) = 132 times.

Now, using the formula of compound interest we will get the matured sum

= $7800(1 + \frac{0.433}{100})^{132} = 13803$ dollars (Approximate)

Therefore, the investment will become $13803. (Answer)

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Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

2x + 5y - 3x + 11y =

Nitella [24]

Answer:

− x + 16y

Step-by-step explanation:

2x + 5y − 3x + 11y

= 2x + 5y + − 3x + 11y

Combine Like Terms:

= 2x + 5y + − 3x + 11y

= (2x + − 3x) + (5y + 11y)

= − x + 16y

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