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4 years ago

Write an equation of the line that has a slope of 3 and contains the point (2,5) in point-slope for

2 answers:

8 0

The equation would be y=3x-1

Point Slope Formula:

y - y1 = m(x - x1)

y - 5 = 3(x-2)
y - 5 = 3x - 6
+ 5 + 5
--------------------
y = 3x - 1

kogti [31]4 years ago

8 0

Y = 3x - 1 ^^^^^^^^^^^^^^^^66right

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April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into

Mila [183]

Answer:

Monthly payment is $5970

Step-by-step explanation:

Given : April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into the annuity, which earns 4.4% APR compounded monthly.

To find : what is April's monthly payment amount?

Solution :

Formula of monthly payment

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $1,000,000

Rate r= 4.4%=0.044 compounded monthly

$i=\frac{0.044}{12}=0.004$

Time = 89-65=23 years

$n=23\times12=276$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.004)^{-276}}{0.004}$

$D=\frac{1-(1.004)^{-276}}{0.004}$

$D=\frac{1-0.33}{0.004}$

$D=\frac{0.67}{0.004}$

$D=167.5$

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{1000000}{167.5}$

$M=5970.1$

Approximately,monthly payment is $5970

4 0

4 years ago

Read 2 more answers

Determine the equation of the line that is parallel to the given line, through the given point.

Verdich [7]

Answer:

$y=-\frac{3}{2}x+1$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope (m)

$3x+2y = 10$

First, we must organize this given equation in slope-intercept form. This will help us identify its slope.

$3x+2y = 10$

Subtract 3x from both sides

$2y = -3x+10$

Divide both sides by 2

$y = -\frac{3}{2} x+5$

Now, we can identify clearly that $-\frac{3}{2}$ is in the place of m in $y=mx+b$ , making it the slope. Because parallel lines have the same slope, this makes the slope of the line we're currently solving for $-\frac{3}{2}$ as well. Plug this number into $y=mx+b$ :