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3 years ago

Write an equation with the given point and slope. Through (-1,7) and m = -3

Mathematics

1 answer:

drek231 [11]3 years ago

6 0

Y= mx + b
y = -3x + 7

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An aquarium is shown below. The directions state that the water should be exactly three inches below the top of the aquarium. Wh

Troyanec [42]

Answer:

2496 is the volume

Step-by-step explanation:

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2 years ago

Read 2 more answers

Write a quadratic equation in standard form that has roots of -12 and 2

Vinvika [58]

A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24

In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.

x = -12 ----> add 8 from both sides

x + 12 = 0

We can do the same for the other zero.

x = 2 ----> subtract from both sides

x - 2 = 0

Now that we have both of these, we can multiply these two things together. This will give us the function we need.

f(x) = (x + 12)(x - 2)

f(x) = x^2 + 12x - 2x - 24

f(x) = x^2 + 10x - 24

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4 years ago

Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years

Jet001 [13]

Answer:

The value of annuity is $P_v = \$ 32058$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 1500$

The interest rate is $r = 8\% = 0.08$

Frequency at which it occurs in a year is n = 2 (semi-annually )

The number of years is $t = 22 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]$

$P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]$

$P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]$

$P_v = \$ 32058$

8 0

3 years ago

If the slope of a line is 2 and its y-intercept is 5, what is the equation of the line?

Ganezh [65]

Y = 2x + 5
hope it helps

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4 years ago

How to solve 93+(68+7) using the properties.

prisoha [69]

Do the (68+7) = 75 then do 75+93=168

7 0

4 years ago