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2 years ago

12

The interest on an investment varies directly as the rate of interest. If the interest is $43 when the interest rate is 5%, fi

nd the interest when the rate is 6.6%.

1 answer:

Alenkasestr [34]2 years ago

5 0

The answer is $43 * 6.6% = 2.838

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Find the sum of the first 47 terms of the following series, to the nearest integer.

topjm [15]

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

$18-13=5,\:\quad \:23-18=5$

As the difference between all the adjacent terms is the same.

so

$d=5$

$a_1=13$

Arithmetic sequence sum formula

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

Put the values

$d=5$

$a_1=13$

$n=47$

$=47\left(13+\frac{5\left(47-1\right)}{2}\right)$

$=47\left(13+\frac{5\left(47-1\right)}{2}\right)$

$=47\left(13+115\right)$

$=47\cdot \:128$

$=6016$

Thus, the sum of the first 47 terms of the given series = 6016

8 0

2 years ago

Pls help! will give thx and 5star and whatever just plss help

Novosadov [1.4K]

Answer:

18. Scalene

19. Quadrilateral

20. option i)

Step-by-step explanation:

18. A triangle whose all the three sides are different is called a scalene Triangle . Where are whose two sides are equal is called an isosceles triangle and whose all the sides are equal is called an equilateral triangle. Here all the sides are of different measurement hence it is a scalene triangle.

19. A polygon containing

3 sides is a triangle

4 sides is Quadrilateral

5 Sides is a Pentagon

6 sides is a Hexagon

8 Sides is Octagon

Our polygon contains four sides, it is hence a quadrilateral

20.

Option i)

In two congruent figures , the corresponding sides and angles are equal.

corresponding side of s is side measuring 14 ft and that of t is the side measuring 12 ft

Hence s = 14 and t = 12

corresponding angles of u is angle measuring 90° and that of r is the angle measuring 90°

Hence ∠u = 90° and ∠r=90°

3 0

3 years ago

pleaseee help how do i write an equation in slope-intercept form for the line with slope 1/3 and y-intercept -3?

Montano1993 [528]

Answer:

y=1/3x -3

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the <u>slope </u>and b is the <u>y-intercept, </u>or the y-value at which the line intersects the y-axis.

Your slope is 1/3, and your y-int. is -3, so substitute those values in:

y=<u>1/3</u>(x) <u>- 3</u>

8 0

3 years ago

Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

zhenek [66]

Answer:

96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

Step-by-step explanation:

We are given that a group of researchers at the BYU Off-Campus Housing department want to estimate the mean monthly rent that unmarried BYU students paid during winter 2018.

During March 2018, they randomly sampled 314 BYU students and found that on average, students paid $346 for rent with a standard deviation of $86.

So, the pivotal quantity for 95% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = average rent paid by 314 BYU students = $346

s = sample standard deviation = $86

n = sample of students = 314

$\mu$ = population mean monthly rent of all unmarried BYU students

So, 96% confidence interval for the population mean monthly rent, $\mu$ is ;

P(-2.082 < $t_3_1_3$ < 2.082) = 0.96

P(-2.082 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.082) = 0.96

P( $-2.082 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ , $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $346 -2.082 \times {\frac{86}{\sqrt{314} } }$ , $346 +2.082 \times {\frac{86}{\sqrt{314} } }$ ]

= [335.89 , 356.10]

Therefore, 96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

5 0

3 years ago

Yuki888 [10]

It is <span>reflection across y = x
</span>

7 0

2 years ago