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3 years ago

Can someone please help me on this

Mathematics

1 answer:

docker41 [41]3 years ago

3 0

Answer:

• The function is a linear function

• The function changes at a constant rate

Step-by-step explanation:

A graph of the function shows it to be a straight line (linear function). Such a function always changes at a constant rate. The line goes downward to the right, so the function is a decreasing function.

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"changes at a constant rate" and "linear function" are two different ways of saying the same thing: the graph of the function is a straight line.

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If a person starts investing $100 per month starting at age 21, and that money earns a 5% return every year, how much will this

aalyn [17]

The formula for calculating compound interest with yearly contributions is:

Balance = X*(1 + Y)^n + Z((1 + Y)^(n + 1) - (1 + Y)/Y)

where the balance is the money earned after n years invested

Y is the interest rate as a fraction

Z is the yearly contribution

X is the starting investment

Therefore the calculation for this example is:

Balance = 1200*(1 + 0.05)^48 + 1200((1.05)^49 - (1.05)/05)

= $249,393.5

8 0

3 years ago

Read 2 more answers

7 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Elena-2011 [213]

Answer:

Option a. convergent: A

Step-by-step explanation:

a0=3/2

a1=9/8

a2=27/32

a1/a0=(9/8)/(3/2)=(9/8)*(2/3)→a1/a0=3/4

a2/a1=(27/32)/(9/8)=(27/32)*(8/9)→a2/a1=3/4

r=a1/a0=a2/a1→r=3/4

The abosute value of r= !r! = !3/4! = 3/4 = 0.75<1, the series is convergent

7 0

3 years ago

Can someone help me in this plssss I really need it

kompoz [17]

Answer:

$\boxed{-3xy^{2}\sqrt [3] {2x^{2}}}$

Step-by-step explanation:

Your expression is

$\sqrt [3] {-54x^{5}y^{6}}$

Here's how I would simplify it.

$\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}$

$\begin{array}{rcll}& = & \sqrt [3] {(-1)^{3} \times {3^{3}\times x^{3} \times y^{6}}} \times\sqrt [3] { 2 \times x^{2}} & \text{Separated the cubes}\\&=& \mathbf{-3xy^{2}\sqrt [3] {2x^{2}}} & \text{Took cube roots}\\\end{array}$

$\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}$

6 0

3 years ago

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t i

umka2103 [35]

Answer:

3 months

Step-by-step explanation:

t^3 - 10t^2 + 33t - 36

3t^2 -20t + 33 = 0

(3t-11)(t-3) = 0

t = 3 or t=11/3

6 0

3 years ago

Which algebraic expression is equivalent to the expression below?

gregori [183]

The correct answer to this problem is be because you have to multiply the 4 outside of the parentheses with the 4 inside of the parentheses which gives you 16X and then afterwards you have to do the same with the 6 with so since 4•6=24 you can automatically eliminate answer choice D and then you add up your 3x to your 16x which will be 19x so it would be B. 19x+24

3 0

3 years ago