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NeTakaya
3 years ago
7

Solve by using proper methods. Show your work.

Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

$70,201.38

Step-by-step explanation:

To determine the principal amount, we can use the formula:

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

A = $200,000

r = 7% or 0.07

t = 15 years

n = 12

Now let's substitute our values.

P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}

P=\dfrac{200,000}{(1.00583333333)^{12(15)}}

P=70,201.38

So the principal needed to get 200,000 in 15 years is $70,201.38.

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The length of a triangel is three times its with.if the perimiter is at its most 112 centemeters,witch is the greates possible v
iris [78.8K]
I am assuming you do not mean The length of a triangle and you mean The length of a rectangle because the answer you given are the formula for the perimeter of a rectangle. With that said, the answer is D<span>.2w+2*(3w)112

The perimeter of a rectangle can be found by the following equation:

2L + 2W = P
OR 
P = 2L + 2W
The equation </span>P = 2L + 2W is read perimeter = 2 times Length + 2 times width

The Question:
<span>The length of a rectangle is three times its width.if the perimeter is at its most 112 centimeters ,which is the greatest possible value of the the width.
</span>
The length of a rectangle
This means the perimeter 

is
The word is means to use an equal sign

three times its width
This means 3 times w or 3w 
The w = width

perimeter is at its most 112
This means <=
<= means less than or equal to

Ok so lets look at our equation 

2L + 2W = P
2w + 2(3w) <= 112

5 0
3 years ago
Find the equivalent exponential expression. [(-4)^5]^3
Sunny_sXe [5.5K]

Answer:

-4^{15}

Step-by-step explanation:

Given expression:

\left[(-4)^5\right]^3

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies (-4)^{(5 \times 3)}

\implies (-4)^{15}

\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:

\implies -4^{15}

4 0
2 years ago
AB has endpoints at A(-4, 4) and B(5, -1).<br> Find the coordinates<br> (x, y) of the midpoint.
kramer

Answer:

The midpoint is at ( 1/2, 3/2)

Step-by-step explanation:

Midpoint

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

( -4+5)/2 = 1/2

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

( 4+-1)/2 = 3/2

The midpoint is at ( 1/2, 3/2)

3 0
1 year ago
Read 2 more answers
6. The variable x and y vary directly, and y = 40 when x = 5. Which equation relates the variables?
valkas [14]

Answer:

The equation relates the variables is y = 8x ⇒ D

Step-by-step explanation:

If x and y vary directly (y ∝ x), then y = k x, where

  • k is the constant of variation
  • k can be found using the initial value of x and y

∵ The variable x and y vary directly

∴ y ∝ x

→ By using the rule above

∴ y = k x

∵ y = 40 when x = 5

∴ The initial values of x and y are x = 5 and y = 40

→ Substitute them in the equation above to find k

∵ 40 = k(5)

∴ 40 = 5k

→ Divide both sides by 5

∵ \frac{40}{5} = \frac{5k}{5}

∴ 8 = k

→ Substitute the value of k in the equation above

∴ y = 8x

∴ The equation relates the variables is y = 8x

5 0
3 years ago
A survey of 7th graders at Sandy Middle School found that 152 students were enrolled in Art classes and 44 of those students are
sammy [17]

Answer:

354

Step-by-step explanation:

44+310=354. ejeihrbebeh

5 0
3 years ago
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