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3 years ago

Ming wrote the table of points below.

Mathematics

1 answer:

borishaifa [10]3 years ago

6 0

Answer:

I am 99.99% sure it is the first one

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In 2018, the number of students at The Villages High School was 975 and is increasing at a rate of 2.5% per year. Write and use

avanturin [10]

Answer:

$A(t)=975(1.025)^t$

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

$A_0=975,t=0$

According to question

Number of students at the villages high School is given by

$A(t)=A_0(1+r)^t$

Substitute the values

$A(t)=975(1+0.025)^t=975(1.025)^t$

t=7

Substitute the value

Then, the number of students at the villages high school in 2025

$A(7)=975(1.025)^7=1158.96\approx 1159$

8 0

3 years ago

Read 2 more answers

Write the next three terms of the arithmetic sequence.

JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

$\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...$

First of all, we have to find the common difference

$here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}$

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

$\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}$

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

Find the common ratio: 4, -16, 64, -256, ...

guajiro [1.7K]

Answer:

you multiply by -4 each time.

Step-by-step explanation:

4 x -4= -16

-16 x -4 = 64

64 x -4 = -256

hope this helps

7 0

3 years ago

Read 2 more answers

When dividing a decimal by 10³, how is the decimal point moved?

shtirl [24]

Answer:

3 digits to the left side

Step-by-step explanation:

The decimal point will move 3 digits to the left side when dividing a decimal by 10³.

8 0

3 years ago

what is the point slope form for slope of -7 and the point (3,4) and what is the slope intercept form for slope of 3/8 and the p

Lubov Fominskaja [6]

Answer:

y-4=-7(x-3) and y=-3/8x-8

Step-by-step explanation:

Point slope form: y-y1=m(x-x1)

the slope is already -7.

We can the just plug in the values: y-4=-7(x-3)

For the 2nd problem we can plug in values as well: -2=3/8(16)+b.

-2=6+b. the y intercept is -8. The final form is y=-3/8x-8

8 0

3 years ago