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GrogVix [38]
3 years ago
15

Picture with question. Math

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

The first four terms in the sequence 57, 50, 43, and 36

Step-by-step explanation:

Put the numbers in place of x (or n in this case).

You subtract that number you put in place of n by 1.

You then distribute the difference of n and 1.

You then subtract the distributed number by 57

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A town has a population of 17000 and grows at 3% every year. To the nearest year, how long will it be until the population will
Mumz [18]

Answer:

The population will reach 20,400 after 6 years.

Step-by-step explanation:

Exponential function:

y(t)=y_0(1+r)^t

y(t)= Population after t years

y_0 = initial population

r= rate of grow

t= time.

A town has a population of 17,000 and grows at a rate 3% every year.

y(t)= 20,400, y_0 = 17,000, r=3%=0.03, t=?

20,400=17,000(1+0.03)^t

\Rightarrow \frac{20,400}{17,000}=(1.03)^t

\Rightarrow \frac{102}{85}=(1.03)^t

Taking ln function both sides

\Rightarrow ln|\frac{102}{85}|=ln|(1.03)^t|

\Rightarrow ln|\frac{102}{85}|=t\ ln|(1.03)|

\Rightarrow t=\frac{ln|\frac{102}{85}|}{\ ln|(1.03)|}

⇒ t = 6 year.

The population will reach 20,400 after 6 years.

6 0
4 years ago
A store has a 20% off sale. Which equation
rodikova [14]

Answer:

80%/100%×$24

Step-by-step explanation:

I don't see any options here so let's work it out.

If all prices are reduced by 20%,it implies that 80% of the original value is charged to the buyer as sales price.

Since original value of the pants is $24-100%

then sales value(80%)=(80%/100%×$24)

5 0
3 years ago
Read 2 more answers
What mixed number is equal to 6/4
Norma-Jean [14]

1 and a half

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

4 0
3 years ago
Read 2 more answers
Amy uses 20N of Force to push a lawn mower 10 meters how much does she do
navik [9.2K]
Work = Force * distance (along the line of force)
= 20N*10m
=200 N-m
=200 joules
6 0
3 years ago
A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the
antiseptic1488 [7]

Answer:

c = 9 feet

Step-by-step explanation:

In this situation, one is to find the 'c' : that is, the distance between the vertex and the focus.

Given that, the equation for a vertical parabola:

y = (1/4c)(x-h)^2 + k

Supposing we place our parabola at the center, our equation becomes:

y = (1/4c)x^2

.

The problem gives us a point on the parabola: (12,4)

Then insert it in and solve for 'c':

y = (1/4c)x^2

4 = (1/4c)12^2

4 = (1/4c)144

4 = (1/c)36

4c = 36

c = 36/4

c = 9 feet

5 0
3 years ago
Read 2 more answers
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