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UkoKoshka [18]
3 years ago
15

What is the next term in the sequence below? -324,108,-36,12

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

-4

Step-by-step explanation:

bc it is

.......................

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Write an equation of the parabola with the vertex (-5,4) and focus (-5,0)
ch4aika [34]

Answer:

-0.4 or -10.4

Step-by-step explanation:

5 0
2 years ago
Tran jumped 162 times in 9 hours. At that rate, how many times would<br> she jump in 10 minutes?
yawa3891 [41]

Answer:

3

Step-by-step explanation:

you first need to convert 9 hours into minutes:

9*60=<u>5</u><u>4</u><u>0</u> minutes

162 jumps ---in--- 540 minutes

? jumps ---in--- 10 minutes

?= (10*162)/540

?= 3

7 0
2 years ago
Answer and explain ILL MARK BRAINLIEST I DONT UNDERSTAND
Sati [7]

First let's reduce the feet to miles

there are 5280 feet in a mile therefore

26400 feet=5 miles

31680 feet=6 miles

Jet A(the first jet) descends 5 miles in 96 miles

Jet B(the second jet) descends 6 miles in 120 miles

We can compare these as fractions to see which is steeper. This can be viewed as slope and the origin (0,0) is the airport.

slope: 6/120=?=5/96

1/20=?=5/96

Now we know that 5/100 =1/20 so 5/96 must be bigger than 5/100 because you are dividing by a smaller number.

so 1/20<5/96

So Jet B is descending steeper than Jet A.

As for linear model, I don't exactly know what your teacher means but I think I actually used the linear model when I'm thinking of steepness as slope in the coordinate plane, I will include a picture.

In this extremely zoomed out graph, you can see the blue line is just slighly higher than the red line(slope as in explanation is way easier to tell) this could be seen as the linear model) :) Hope it helped!

6 0
2 years ago
On the first day, you pay $5 for 2 boxes of popcorn.
ahrayia [7]

Answer:

10 5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100
ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>  

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10  

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

\bf 1,000*(1.09)^2+10(1+1.09)

<u>End of year 3 (capital + interest + new deposit)</u>

\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)

and we can see that at the end of year 50, the future value is

\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}

The sum  

\bf 1+1.09+(1.09)^2+...+(1.09)^{49}

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356

and the future value is then

\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564

The <em>present value PV</em> is

\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62

rounded to the nearest hundredth.

5 0
3 years ago
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