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3 years ago

Equation of the line with slope 4 passing through the point (-5, -1).

Mathematics

1 answer:

Stolb23 [73]3 years ago

7 0

Answer:

y=4x+19

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=4(x-(-5))

y+1=4(x+5)

y=4x+20-1

y=4x+19

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Calculate the average rate of change over the intervals [0, 20] and [60, 80]. What does the average rate on these intervals tell

Assoli18 [71]

$\frac{20 - 80}{0 - 60 } = slope \: or the \: rate \: of \: \\ change \: \\ \\ \frac{ - 60}{ - 60} = 1$
It tells you that over these intervals the balloon is going at a constant speed.

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3 years ago

Find the volume of each cylinder. Use 3.14 for pi. Round your answer to the nearest tenth

otez555 [7]

Answer:

V ≈471.24 mm^3

Step-by-step explanation:

The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3

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3 years ago

I can not figure out how to do this question and I need help please

spayn [35]

$\bf \textit{quadratic formula}\\\\

\begin{array}{lcclll}
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6 0

3 years ago

Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba

Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

$A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}$

$\:A=2500\left(1+\frac{0.05}{6}\right)^{48}$

$A=2500\times 1.48935$ ∵ $\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935$

$A=\:3723.38$ $

Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0

3 years ago

WILL GIVE BRAINLIEST! NEED QUICK HELP ASAP! Photo added! least common denominator x^3/x^2+4x+4 and -9/x^2+5x+6

Oksanka [162]

The denominator( s ) we are given are $x^2 + 4x + 4$ , and . The first thing we want to do is factor the expressions, to make this easier -

$x^2 + 4x + 4$

This expression is a perfect square, as ( x )^2 = x^2, ( 2 )^2 = 4, 2 * ( x ) * ( 2 ) = 4x. Thus, the simplified expression should be the following -

$( x + 2 )^2$

The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -

$x^2 + 5x + 6,\\\left(x^2+2x\right)+\left(3x+6\right),\\x\left(x+2\right)+3\left(x+2\right),\\\left(x+2\right)\left(x+3\right)\\\\Factored Expression = \left(x+2\right)\left(x+3\right)$

Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.

Solution =  $\left(x+2\right)^2\left(x+3\right)$ 

3 0

3 years ago