MATHEMATICS HIGH SCHOOL

How much would $500 invested at 7% interest compounded annually be worth after 4 years? Round your answer to the nearest cent

Answers

Answer 1

Answer:

Answer: $655.40

Step-by-step explanation:

Given : Principal amount = $500

The rate of interest compounded annually =7%=0.07

Time = 4 years

We know that compound amount after n years is given by :

$A=P(1+r)^n$

Thus for the given situation , the compounded amount after 4 years will be :-

$\n\Rightarrow\ A=500(1+0.07)^4\n\Rightarrow\ A=500(1.07)^4\n\Rightarrow\ A=\$655.398005\approx\$655.40........\text{to the nearest cent.}$

Answer 2

Answer: If 7% interest is compounded annually, then the value of the $500
after 'Y' years in the future is
$500 (1.07)^to the 'y' power .

For this exercise, it's $500 (1.07)⁴ = $ 655.40 .

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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

Answers

so slope intercept form is y=mx+b
m=slope b=y intercept
convert current equation to slpe intercept
y-4=x-8
add 4 to both sides
y=x-4
tada

Final answer:

The slope-intercept form of the given line, expressed in point-slope form as y - 4 = (x - 8), is y = x - 4. This indicates a slope of 1 and a y-intercept of -4.

Explanation:

The point-slope form of the equation of the line, y – 4 = (x – 8), illustrates a line passing through the point (8, 4) with a specific slope. The slope is the difference in the y-coordinates divided by the difference in the x-coordinates, as illustrated in the given figures.

In general, the equation of a straight line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept, i.e., the value of y when x is zero.

To convert the original equation into slope-intercept form, rearrange it by solving for y. First, rewrite the equation as y - 4 = x - 8, then add 4 to each side to isolate y:

y = x - 8 + 4

y = x - 4

So, the slope-intercept form of the equation for this line is y = x - 4, implying the line has a slope (m) of 1 and a y-intercept (b) of -4.

Learn more about Slope-Intercept Form here:

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The population of a small town in 1990 was 1,200 people, and the population in 2000 was 2,700 people. Let x represent the number of years since 1990. Let y represent the population. Which linear equation represents this data?

Answers

well... looking at how to question is defining things.....i think this is a multiple choice question.....

Given:
"y" represents the population
"x" represents the number of years
duration = 2000 - 1990 = 10 years
population increase = 2700 - 1200 = 1500
Now,
It says linear equation........, So, we have to assume that every ten years the population increases by a fixed amount that is 1500 people every 10 years.

Now,
Every 10 years, the population increases by 1500
Every 1 year , the population increases by 1500 / 10
= 150

Now,
The equation in determining the population is:

y = 150x + 1200

PLEASE HELP ASAP 30 PTS

Answers

The decay factor would be 1 minus the percent of decrease:

1-0.12 = 0.88

The correct answer will be choice C:0.88!

If the number of concerts held in a city is correlated to the number of local radio channels, what third variable might most likely be responsible for this correlation?

Answers

The most logical answer would be something like the number of music lovers in the city or something similar. That is because if there are many people loving music, then there are many stations, which means many concerts.

its c if your on plato

What number is 1.6 more than 3.7