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gregori [183]
3 years ago
8

The square below has an area of x^2+10x+25 square meters. What expression represents the length of one side of the square?

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

(x+5) represents each side of a square. Since all sides of a square are equal, we know that all sides are (x+5).

Base x height = (x+5)(x+5)

Which is x^2+10x+25!

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If you invest $4000 at 9% interest compounded annually, in how many years will you have $20,000. Give your answer the nearest te
Masteriza [31]

Answer:

18.7 years

Step-by-step explanation:

This is a compound interest problem and the following variables have been given;

Principal = 4000; this is the amount o be invested

APR = 9%; this is the compound interest to be earned

Accumulated amount = 20,000

We are required to determine the duration in years. We apply the compound interest formula;

A=P(1+r)^{n}

20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}

The next step is to introduce natural logarithms in order to determine n;

ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675

The number of years required is thus 18.7 years

6 0
3 years ago
Find the length of side y
Serggg [28]

Answer:

\large\boxed{y=76.3359\ cm\approx76.3\ cm}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

We have

adjacent=73\ cm\\hypotenuse=y

and the angle 17°.

\cos17^o\approx0.9563

Substitute:

\dfrac{73}{y}=0.9563             <em>convert the decimal to the fraction</em>

\dfrac{73}{y}=\dfrac{9563}{10000}          <em>cross multiply</em>

9563y=730000           <em>divide both sides by 9563</em>

y=\dfrac{730000}{9563}

y\approx76.3359

8 0
3 years ago
HELPP, Lines parallel, Perpendicular, Neither? URGENT HELPPP.
VLD [36.1K]

Answer:

perpendicular I believe

Step-by-step explanation:

I'd plot the points and make a line using a ruler to check though.

8 0
2 years ago
The perimeter of a square is 120 inches what is its area
nata0808 [166]

Answer:

A = 900in²

Perimeter   120in

Using the formulas

A = a²

P = 4a

Step-by-step explanation:

Solving for A:

A = 1/16 P² = 1/16 · 120² = 900in²

5 0
2 years ago
Read 2 more answers
Solve ASAP<br>i dont get it
andreev551 [17]
The slope is the coefficient of x when the coefficient of y is 1.
The slope is -0.5
The y-intercept is where x=0
y = 17 - 0.5 (0)
y = 17
The y-intercept is 17.
5 0
3 years ago
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