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uysha [10]
2 years ago
10

TUI UT LOUD h! Sid has a savings account with $3,000 in it that earns 8.9% simple interest per year. How much interest, to the n

earest penny, will Sid earn in 3 years? Give your answer in dollars.
Mathematics
1 answer:
anzhelika [568]2 years ago
4 0

The principal vaue is P = 3000.

The rate for simple interest is r = 8.9%.

The time is t = 3.

The formula for the simple interest is,

SI=\frac{P\cdot r\cdot t}{100}

Determine the simple interest earned by Sid.

\begin{gathered} SI=\frac{3000\cdot3\cdot8.9}{100} \\ =801 \end{gathered}

So Sid earned $801 from the interest.

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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature.
insens350 [35]

Answer: D) 0.438 < p < 0.505

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where n= sample size

\hat{p} = Sample proportion.

z* = critical value.

Given : A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature.

i.e. n= 865

\hat{p}=\dfrac{408}{865}\approx0.4717

Two-tailed critical avlue for 95% confidence interval : z* = 1.96

Then, the 95 % confidence interval for the true proportion of all voters in the state who favor approval will be :-

0.4717\pm (1.96)\sqrt{\dfrac{0.4717(1-0.4717)}{865}}\\\\\approx0.4717\pm 0.03327\\\\=(0.4717-0.03327,\ 0.4717+0.03327)=(0.43843,\ 0.50497)\approx(0.438,\ 0.505)

Thus, the required 95% confidence interval : (0.438, 0.505)

Hence, the correct answer is D) 0.438 < p < 0.505

7 0
3 years ago
Please help me with this. 5a
solmaris [256]

Answer:

 x = 1.96

Step-by-step explanation:

5x + 2 = 11.8

5x = 11.8 -2

5x = 9.8

 x = 9.8 / 5

 x = 1.96

6 0
4 years ago
The equation of the line of best fit of a scatter plot is y = −7x − 2. What is the the y-intercept? (4 points)
Dima020 [189]

Answer:

The answer is B or -2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
For what value of k, if any, will y = ksin (5x) + 2cos (4x) be a solution to the differential equation y'' +16y =-27sin(5x)?
emmainna [20.7K]

Answer:

c. 3

Step-by-step explanation:

y = k sin(5x) + 2 cos(4x)

y' = 5k cos(5x) − 8 sin(4x)

y" = -25k sin(5x) − 32 cos(4x)

y'' + 16y = -27 sin(5x)

(-25k sin(5x) − 32 cos(4x)) + 16(k sin(5x) + 2 cos(4x)) = -27 sin(5x)

-25k sin(5x) − 32 cos(4x) + 16k sin(5x) + 32 cos(4x) = -27 sin(5x)

-9k sin(5x) = -27 sin(5x)

k = 3

4 0
4 years ago
1. In​ 2012, the population of a city was 5.63 million. The exponential growth rate was 1.45​% per year.
11Alexandr11 [23.1K]

The exponential function is P = 5.63(1.0145)ⁿ. And the population of the city in 2018 is 6.1379 million, the number of the years when the population of the city is 10 million is 40 years, and the doubling time will be 49 years.

<h3>What is an exponent?</h3>

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

In​ 2012, the population of a city was 5.63 million. The exponential growth rate was 1.45​% per year.

Then the exponential function will be given as

P = 5.63 (1.0145)ⁿ

Where P is the population (in million) and n is the number of years.

Then the population of the city in 2018 will be

n = 2018 - 2012 = 6

Then we have

P = 5.63 (1.0145)⁶

P = 5.63 x 1.0902

P = 6.1379 million

The number of the years when the population of the city is 10 million.

    10 = 5.63 x (1.0145)ⁿ

1.776 = (1.0145)ⁿ

Taking log both sides, then we have

log 1.776 = n x log 1.0145

            n = 39.90

            n ≅ 40 years

Then the doubling time will be

2 = (1.0145)ⁿ

Taking log on both sides, then we have

log 2 = n x log1.0145

      n = 48.1489

      n ≅ 49 years

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

6 0
2 years ago
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