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Rzqust [24]
2 years ago
13

Human hair grows at the average rate of 1/3 inch per month. Sara wants her hair to grow 4 2/3 inches longer. About how many mont

hs will this take?
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
6 0

Answer:

14 months

Step-by-step explanation:

1/3 x 12 = 4.

1/3 x 2 = 2/3.

12 + 2 = 14.

It will take her 14 months.

Hope this helps! :)

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Evaluate the polynomial for the given value of x: f(x) =3x^3+5x^2+x-2 when x=2
sasho [114]

Answer: f(2)=44

Step-by-step explanation:

Given the polynomial f(x) =3x^3+5x^2+x-2, you can evaluate it for the given value of the variable "x" by substituting the value x=2 into the polynomial.

Therefore, when x=2,  you get the following result:

f(x) =3x^3+5x^2+x-2 \\\\f(2) =3(2)^3+5(2)^2+(2)-2\\\\f(2)=3(8)+5(4)+2-2\\\\f(2)=24+20\\\\f(2)=44

3 0
2 years ago
What is the slope in the following equation:
Elza [17]
The slope would be -3.
3 0
2 years ago
PLEASE HELP ME ASAAAAAPPPPPPPPPPPP PLEASE HELP ME FAST What is 5 x 2/3 ? A) 3 1/3 B) 3 2/5 C) 5 2/3 D) 10/15
katrin2010 [14]

Answer:

A) 3 1/3

Step-by-step explanation:

5 x 2 = 10

10/3= 3 with a remainder of 1. That gives you 3 1/3

5 0
3 years ago
Read 2 more answers
How to solve the system of equation 500y-600x=2800 , 400y-400x=2400 by elimination
tatiyna

Answer:

x=2 and y=8

Step-by-step explanation:

Given:

Equation 1:

500y-600x=2800

Simplifying the above equation by dividing both sides by 100

\frac{500y-600x}{100}=\frac{2800}{100}

\frac{500y}{100}-\frac{600x}{100}=28\\\\5y-6x=28

Equation 2:

400y-400x=2400

Simplifying the above equation by dividing both sides by 400.

\frac{400y-400x}{400}=\frac{2400}{400}

\frac{400y}{400}-\frac{400x}{400}=6\\\\y-x=6

Now the system of equation is:

(1a) 5y-6x=28

(2a) y-x=6

Solving by elimination

Multiplying equation (2a) with -5

-5(y-x)=-5\times 6

(2b) -5y+5x=-30

Adding equations (1a) and (2b) in order to eliminate y

      5y-6x=28

+  -5y+5x=-30

We get -x=-2

∴ x=2

Plugging x=2 in equation (2a).

y-2=6

Adding 2 both sides.

y-2+2=6+2

∴ y=8

7 0
3 years ago
If your starting salary is $40,000 and you  receive a 4.2% raise every year, how much  TOTAL money will you make in 15 years?
Oliga [24]
The first year, the amount is 40,000

the second year is 40000 + 4.2% of 40000, or 0.042 * 4000, so 40000+(0.042*4000)
common factoring that  we get 40000(1 + 0.042), or just 40000(1.042)

in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

for the third year it'll be 40000(1.042) + (0.042 *40000(1.042) ), again, common factoring that

40000(1.042)(1 + 0.042) or 40000(1.042)(1.042) or 40000(1.042)²

therefore,

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42
5 0
3 years ago
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