Read the question ...............

Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated interest rate after the stated amo

Fynjy0 [20]

Answer: 1,000

First, you have to find how much 7.5% is coming out of 10,000. So in this case it's 750. Multiply 750 by 12 years. Thats 9000, you then subtract 9000 and 10,000 to get 1,000.

4 0

3 years ago

What is 3+3(3+4)3 explained

allochka39001 [22]

Answer:

3+3 (3+4)3

6(3+4)

42×3

126

4 0

3 years ago

Which systems of equations intersect at point A in this graph?

abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) = (-2, 1)

The correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Arrange equation variable for elimination

$\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}$

so

$y+3x=-5$

$-$

$\underline{y-4x=9}$

$7x=-14$

so the system of equations becomes

$\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}$

Solve 7x = -14 for x

$7x=-14$

Divide both sides by 7

$\frac{7x}{7}=\frac{-14}{7}$

Simplify

$x = -2$

For y - 4x = 9 plug in x = 2

$y-4\left(-2\right)=9$

$y+4\cdot \:2=9$

$y+8=9$

Subtract 8 from both sides

$y+8-8=9-8$

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) = (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

3 0

3 years ago

Katrina had a bookcase that holds 200 books. She can put 20 books on each shelf. If 20% of the bookcase is empty, how many shelv

Tom [10]

Answer:

First, find 20% of the 200 books. Then, subtract that amount by the total and divide that amount by 20 to receive your answer.

Step-by-step explanation:

20 x 200

/100 = 40

Therefore, there are 40 books missing.

200-40 = 160

160/20 = 8 shelves are filled with books.

There are 10 shelves in total: 160 books are on 8 shelves and 40 books are missing for 2 shelves

5 0

3 years ago

A box contains 76 coins, only dimes and nickels. The amount in the box is $4.90. How many dimes and how many nickels are in the

dangina [55]

The number of dimes is 75 coins.

The number of nickels is 1 coin.

Step-by-step explanation:

It is given that,

A box contains 76 coins, only dimes and nickels.

The 10 cent coin is called a dime.
Let, the number of dimes be x.
The 5 cent coin is called a nickel.
Let, the number of nickels be y.

This is represented by the system of equations :

x + y = 76 -------(1)

10x + 5y = 4.90 ------(2)

Multiply eq (1) by 5 and subtract eq (2) from eq (1),

5x + 5y = 380

-(10x + 5y = 4.90)

-5x = 375.1

x = 375/5

x = 75 coins.

The number of dimes is 75 coins.

Substitute x=75 in eq (1),

y = 76 - 75

y = 1 coin.

The number of nickels is 1 coin.

6 0

3 years ago

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