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3 years ago

Bella received $1,200 after winning a national mathematics competition. She plans to invest this money for 5 years.

Mathematics

1 answer:

vredina [299]3 years ago

6 0

Answer:

Step-by-step explanation:

A. 1200(1.078)⁵ = 1746.928179

B. 1200(1+.072*5)= 1632

Option A

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Write $\frac{99}{100}\cdot(0.\overline{4})$ as a fully simplified fraction.

Oksi-84 [34.3K]

Answer:

$\frac{11}{25}$

Explanation:

The expression that must be rewritten as a fully simplified fraction is:

$\frac{99}{100}\cdot(0.\overline{4})$

You must, first, convert $0.\overline{4}$ as a fraction.

The line over the decimal 4 means that the digit 4 repeats indefinetly.

To find the fraction that represents this number you follow this procedure:

$F=0.\overline 4\\ \\ 10F=4.\overline 4\\ \\ 10F-F=4\\ \\ 9F=4\\ \\ F=4/9$

Now, you can mutiply both fractions:

$\frac{99}{100}.\frac{4}{9}=\frac{99\times 4}{100\times9}=\frac{11}{25}$

6 0

3 years ago

What is the slope-intercept form of the function described by this table? x 1 2 3 4 y −2 −6 −10 −14 Enter your answers in the bo

Olin [163]

Answer:

$y=-4x+2$

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

Step 1

Find the slope m

Let

$A(1,-2),B(2.-6)$

$m=(-6+2)/(2-1)=-4$

Step 2

Find the value of b

we have

$m=-4$

$A(1,-2)$

substitute in the equation of the line

$y=mx+b$

$-2=(-4)(1)+b$

$-2=-4+b$

$b=2$

The equation in slope intercept form is equal to

$y=-4x+2$

3 0

3 years ago

Which is the most accurate way to estimate 49% of 45?

Arlecino [84]

1/2 x 44 is the correct answer. Since the answer to the main equation is 22.05, the closest answer to it is 1/2 x 44 which is 22.

3 0

3 years ago

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

alukav5142 [94]

A) $(f+g)(x)=f(x)+g(x)=(4x-5)+(3x+9)=7x+4$
B) $(f*g)(x)=f(x)*g(x)=(4x-5)(3x+9)=12x^2+21x-45$
C) $f(g(x)) = 4(3x+9)-5 = 12x+31$

3 0

3 years ago

The area of a triangle is found using the formula: A=½bh

labwork [276]

It would be 12

3*8=24 then divide that by 2 which is 12

5 0

4 years ago