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Minchanka [31]
2 years ago
10

Trevor is saving for a down payment to buy a house. The account earns 11.2% interest compounded monthly, and he wants to have $1

4,000 in 7 years.
What must his principal be? Round your answer to the nearest cent and do not include the dollar sign. Do not round at any other point in the solving process; only round your answer.
Mathematics
1 answer:
Anna71 [15]2 years ago
7 0

$1271.22

Step-by-step explanation:

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Lines d, e, and f are parallel. That means they have the same slope. Each of these lines has a slope of −3. Enter numbers to com
Sloan [31]

Answer:

Line d : y = -3x - 3

Line e : y = -3x - 2

Line f  : y= -3x + 2

Step-by-step explanation:

Given that,

The slope of each line is -3.

Now,

We know that,

Equation of line is represented by y = mx + c

where m is the slope and c is the y-intercept.

Now,

Given that,

Line d goes through (0, - 3) and (- 1, 0).

So,

y-intercept of Line d is -3

∴ we get

Equation of Line d is : y = -3x -3

Now,

Given that,

Line e goes through (-1, 2) and (0, -2).

So,

y-intercept of Line e is -2

∴ we get

Equation of Line e is : y = -3x - 2

Now,

Given that,

Line f goes through (0, 2) and (1, -1).

So,

y-intercept of Line e is 2

∴ we get

Equation of Line f is : y = -3x + 2

6 0
3 years ago
a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di
Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

7 0
1 year ago
Construct the graph of the equation y=kx if it is known that the point B belongs to the graph. The graph of which of these two e
PIT_PIT [208]

Answer:

The graph with B(2,-3) i.e) y=\frac{-3}{2} x goes through the point M(-10,15).

Step-by-step explanation:

Consider M(-10,15) and given that equation is y = kx.

Now, substitute M(-10,15) in the equation

⇒ 15 = k × -10

⇒ k = \frac{15}{-10} = \frac{-3}{2}

⇒ y = \frac{-3}{2} x

Now, check with the given points B(2,-3) and B(3\frac{1}{3} , -2)

1) B(2,-3)

y = \frac{-3}{2} x

⇒(-3) = \frac{-3}{2} × 2

⇒ -3 = -3 ⇒ LHS = RHS

⇒ B(2,-3) is the required point.

2) for b(3\frac{1}{3} , -2)

LHS ≠ RHS.

So,The graph with B(2,-3) i.e) y=\frac{-3}{2} x goes through the point M(-10,15).

8 0
3 years ago
What is 5+5<br> Someone plzzz help me<br> Sike
horrorfan [7]

Answer:

is that dababy?

Step-by-step explanation:

6 0
2 years ago
Consider the degree 5 polynomial function P(x)=x^5-4x^3+2x^2+3x-5. You do not need to factor this polynomial to answer the quest
olga2289 [7]

Answer:

5.

Step-by-step explanation:

According to the Linear Factorization Theorem, a polynomial function will have the same number of factors as its degree. We also know that these factors will have the form (x - c) where c is a complex number.

In this problem, and without factoring the polynomial, we observe that the <u>polynomial function is a 5 degree function so we can know that it will have 5 linear factors. </u>

<u />

3 0
3 years ago
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