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3 years ago

What is the slope of the line with the equation y +2 = -3(x – 7)?

Mathematics

1 answer:

Citrus2011 [14]3 years ago

5 0

Answer:

A.m = -3

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

y +2 = -3(x – 7)

y - -2 = -3(x – 7)

The slope is -3 and the point is (7, -2)

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Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that mone

Jlenok [28]

Answer:

Step-by-step explanation:

From the first question:

We are to find PV of the annuity.

Using the formula:

Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Where , Annuity Amount = $4,000

n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF

r = 6.2% / 4 quarters = 1.55%,

PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }

= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }

= 1 + [ (1 - 0.66015 ) ] / 0.0155]

= 1 + 21.926

= 22.926

PVAF(28,1.55%) = 22.926

Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00

2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Present Value of Annuity = $90,000

n = No. of periods = 7.5 years × 4 quarters per year = 30 periods

r = 5.4% / 4 quarters = 1.35%,

PVAF(n,r) = [1-(1+r)^-n]/r

PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135

PVAF(30,1.35%) = (1 - 0.6688)/0.0135

PVAF(30,1.35%) = 0.3312/0.0135

PVAF(30,1.35%) = 24.53

Hence ;

$90,000 = Annuity Amount × 24.53

Annuity amount = $90,000/24.53 = $3,668.48

3 0

3 years ago

Determine if xy is tangent to circle z

Kisachek [45]

Hi there!

When a segment is tangent to a circle, it is perpendicular to the radius. If you're given measurements, like the image below, you can use the pythagorean theorem to determine if the triangle is a right triangle. If the triangle is right, then the segment is tangent to the circle.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

4 0

4 years ago

Will there be any significant difference in the value of Alexandra’s investment after 20 years if she uses option 2 over option

vladimir1956 [14]

Answer:

Ok im not sure but hope this helped

7 0

2 years ago

If a graph is labeled as Distance vs. Time, then time is the variable on the y axis.

Lubov Fominskaja [6]

False the time variable is the x axis

5 0

3 years ago

Read 2 more answers

At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of

crimeas [40]

C= the price of a cheeseburger and l = the price of a lemonade:

$3c + 2l=14\\2c+4l=12$

Divide the second equation by -2 to begin the process of solving by elimination:

$3c + 2l=14\\-1/2\ (2c+4l=12)\\\\3c+2l=14\\-c-2l=-6\\\\2c=8\\c=4$

Now that we have c, 4, we can plug it in to one of the equations to find l:

$3c + 2l=14\\3(4)+2l=14\\12+2l=14\\2l=2\\l=1$

So, each cheeseburger is $4 and each lemonade is $1. The final answer is:

1 cheeseburger and 2 cups of lemonade would cost $6.

6 0

3 years ago

Read 2 more answers