Marley borrowed $5,800 at a siniple interest rate of 7%% per year.After a certain number
of years she had paid $1,305 in interest altogether.How many years was that? *

Answer:

Step-by-step explanation:

0

Answer:

Yes

Step-by-step explanation:

Lol

Answer:

the answer is 59

Step-by-step explanation:

if you subtract from a negitive you get positive

(just add 37 + 22 then you get the answer)

Answer:

106°

Step-by-step explanation:

An isosceles triangle has 2 sides of the same length. All triangles add up to 180°

37 + 37 + x = 180

74 + x = 180

x = 106

Answer:

Picture please

Step-by-step explanation:

I cannot identify the 3-D shapes unless if there is a picture.

The total volume of the solid is 2,160 unit³.

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.

The unit of volume is in cubic units such as m3, cm3, in3 etc.

First, Base area

= 1/2 x b x h

= 1/2 x 15 x 12

= 15 x 6

= 90 unit²

Now, Volume of Figure

= Base area x h

= 90 x 24

= 2,160 unit³

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Order of Operations: BPEMDAS

Functions

Compounded Interest Rate Formula:
\(\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^t\)

Let's compile what we know (what we are given).

An investment of $500 means that our principle amount P equals 500.

2.8% nominal yearly interest means that our rate r equals 0.028.

Compounded quarterly means that our compounded rate n equals 4.

So, we have:

\(\displaystyle\begin{aligned}P & = 500 \\r & = 0.028 \\n & = 4 \\\end{aligned}\)

In order to find an equation that models the final amount A in terms of t years, we can simply substitute in our known variables:

∴ our equation that models the amount A the investment is worth t years after the principle has been invested is:

\(\displaystyle \boxed{ A = 500(1.007)^t }\)

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Topic: Algebra I

Unit: Interest Rate Formulas

Answer:

π, √10, and 39.777... are irrational

Step-by-step explanation:

all three numbers have repeated decimals

Answer:

Option e. "Polynomial in the form..."

Step-by-step explanation:

You can just look at the form that the problem is in. It's written in the exact form that this option is displaying.

Hope this helps :)

Answer:

Test-retest

Step-by-step explanation:

Based on the information given it is an example of TEST-RETEST.

TEST-RETEST is a relibility test that is been conducted on a group of people twice but on a different day or different time reason been that once the group of people write the test ,they will be ask to come back and retake the same test a week later in order to assess whether the test results they wrote earlier on and the new test results they newly rewrite a week later are the same or for the sole aim of assessing the reliability of the new test they rewrite and the old test they wrote earlier.

Example a group of students may write a test on Friday in which the same group of students will be ask to come back and rewrite the same test the following Friday which inturn makes the students to write the same test twice.

Therefore this is an example of which type of reliability TEST-RETEST.

Answer:

-25, -19, -15, -4, 5, 7, 22

Step-by-step explanation:

-25, -19, -15, -4, 5, 7, 22 is the order from least to greatest

The bigger the negative number, the smaller it is; that is why the order is

-25, -19, -15, -4, 5, 7, 22

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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The following equation, y − 8 = 15 (x + 5) is in the slope-intercept form and will be y=15x+83.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that the equation is,

y − 8 = 15 (x + 5)

y=15(x+5)+8

y=15x+75+8

y=15x+83

A linear equation has the form y = mx + b in the slope-intercept format.

Thus, the following equation, y − 8 = 15 (x + 5) is in the slope-intercept form and will be y=15x+83.

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Answer:

the answer is c 4 hours because it's 75 per hour

Answer:

46.4 degree. by using sine law.

Answer:

A

Step-by-step explanation:

2.5 x 16 = 40

30x3+14x2−8x

Step-by-step explanation:

(5x+4)(x)(6x−2)

=((5x+4)(x))(6x+−2)

=((5x+4)(x))(6x)+((5x+4)(x))(−2)

=30x3+24x2−10x2−8x

=30x3+14x2−8x

Answer:

=30x3+14x2−8x

Step-by-step explanation:

(5x+4)(x)(6x−2)

=((5x+4)(x))(6x+−2)

=((5x+4)(x))(6x)+((5x+4)(x))(−2)

=30x3+24x2−10x2−8x

=30x3+14x2−8x

The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Answer:

Step-by-step explanation:

Multiply the original by the first 50% discount:

40,000 x 0.5 = 20,000

Now multiply that by the second 50 % discount:

20,000 x 0.5 = 10,000

The price would be 10,000 rupees

Answer:

Step-by-step explanation:

\(\frac{50}{100}\) × 40 000 = 20 000

a. The three statistics that measure central location are:

b. The mean tells us the average number of miles jogged by the sample of 12 joggers last week. Median tells us the midpoint of the data. The mode give us insight into what distance is most frequently jogged by the sample

a. Mean: average of the data = (5.5 + 7.2 + 1.6 + 22.0 + 8.7 + 2.8 + 5.3 + 3.4 + 12.5 + 18.6 + 8.3 + 6.6) / 12 = 8.825 miles.

Median: middle value of the data when arranged in order = 7.95 miles.

Mode: most common value in the data set = there is no mode since no value is repeated.

b. The mean shows us how many miles on average the sample of 12 joggers covered last week. The median provides the data's midpoint, which is helpful when the mean may be impacted by extreme numbers. When it is present, the mode can help us understand what distance the sample covers most frequently. Since there is no mode in this instance, this number is useless.

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Answer:

8.54

Step-by-step explanation:

Answer:

X = 7.4

i am glad to be helping you! good luck in your test ;)

Step-by-step explanation:

\(3^{2} + x^{2} = 8^{2} \\\\3^{2} - 8^{2} = -x^{2} \\9 - 64 = -x^{2} \\(you-cancel-the-negatives)\\\sqrt{55} = x\\7.4 = x\\\)

ok

The length of s = 1/3

Answer:

see explanation

Step-by-step explanation:

(1)

y varies directly as x² then the equation relating them is

y = kx² ← k is the constant of variation

To find k use the condition y = 32 when x = 2

32 = k × 2² = 4k ( divide both sides by 4 )

8 = k

y = 8x² ← equation of variation

When x = 5 , then

y = 8 × 5² = 8 × 25 = 200

(2)

Given F varies inversely as d² then the equation relating them is

F = \(\frac{k}{d^2}\) ← k is the constant of variation

To find k use the condition F = 18 when d = 10

18 = \(\frac{k}{10^2}\) = \(\frac{k}{100}\) ( multiply both sides by 100 )

1800 = k

F = \(\frac{1800}{d^2}\) ← equation of variation

When d = 15 , then

F = \(\frac{1800}{15^2}\) = \(\frac{1800}{225}\) = 8

(3)

y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

when x = 3, y = 6, z = 9 ,then

y = 6 × 3 × 9 = 162

Answer:

Step-by-step explanation:

Find the missing value of x in the arithmetic sequence below.

6, 2, x, -6, -10

6 - 4 = 2

2 - 4 = -2

-2 -4 = -6

-6 -4 = -10

☯︎ Let us find common difference,d by subtracting first term from second .i e.,\( a_2-a_1\) ,where \(a_1\) and \(a_2\) are first and second term .

✰common difference,d= 2-6 = -4

General term of Arithmetic Sequence,

\(\boxed{a_n = a+(n-1)d}\)

where,

So,

❄︎\(a_3 = a+(3-1)d\)

➪x = 6 + 2 × (-4)

➪x = 6 +(-8)

➪x = 6-8

➪x = -2

a. The data provided enough evidence at a = 0.05 level that the true mean pH of water from this source differs from 7

b. A 95% confidence interval for the true mean pH level of the water is (6.21, 6.59) means  about 95% of those intervals would contain the true mean pH level.

c. The estimated mean pH level of seven is not included in the interval in section (b). This is consistent with the result of the test in part (a), which also rejects the null hypothesis that the true mean pH level is 7.

(a) To test whether the true mean pH of water from this source differs from 7, we can perform a one-sample t-test. The null hypothesis is that the true mean pH is equal to 7, and the alternative hypothesis is that the true mean pH is not equal to 7.

The test statistic can be calculated as follows:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (6.4 - 7) / (0.5 / sqrt(30))

t = -3.07

Using a t-table with 29 degrees of freedom at a significance level of 0.05 (two-tailed test), the critical t-value is ±2.045. Since the calculated t-value (-3.07) is outside of the critical t-value range, we can reject the null hypothesis and conclude that there is enough evidence at a = 0.05 level to suggest that the true mean pH of water from this source differs from 7.

(b) A 95% confidence interval for the true mean pH level of the water is (6.21, 6.59). This means that if we were to take many random samples of size 30 from this water source, and construct a 95% confidence interval for each sample mean pH level, then about 95% of those intervals would contain the true mean pH level.

(c) The interval in part (b) does not include the hypothesized mean pH level of 7. This is consistent with the result of the test in part (a), which also rejects the null hypothesis that the true mean pH level is 7.

The confidence interval provides additional information by giving a range of plausible values for the true mean pH level, and we can see that all of the values in this range are below 7, indicating that the water is indeed slightly acidic.

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Answer:

Step-by-step explanation:

Based on the information in the tape diagram and table, we can see that the ratio of oil to vinegar in Iara's salad dressing is 8 to 1. This means that for every 8 spoonfuls of oil, she uses 1 spoonful of vinegar.

To calculate the amount of oil and vinegar in the dressing, we can use the following formula:

amount = original ratio * total amount of dressing ÷ (original ratio + 1)

For the oil, the formula would be:

oil amount = 8 * 33 ÷ (8 + 1) = 8 * 33 ÷ 9 = 88 spoonfuls

And for the vinegar, the formula would be:

vinegar amount = 1 * 33 ÷ (8 + 1) = 1 * 33 ÷ 9 = 11 spoonfuls

So the final answer is:

Oil: 88 spoonfuls

Vinegar: 11 spoonfuls

Step-by-step explanation:

x = speed of the passenger train

x - 15 = speed of the freight train

remember, the passenger train is traveling 15 mph faster than the freight train. that also means the freight train travels 15 mph slower than the passenger train.

we could define the variable also the other way around (x = freight train, x + 15 = passenger train).

speed = distance/time period

distance = speed × time period

so,

x×4 + (x - 15)×4 = 260

because when both trains meet somewhere in the middle, it means that the sum of both of their ways traveled is the whole distance between both cities : 260 miles.

4x + 4x - 60 = 260

8x = 320

x = 320/8 = 40 mph

so, the passenger train traveled at 40 mph.

the freight train traveled at 40-15 = 25 mph.

Answer:

c. - 1/6

Step-by-step explanation:

m + 2/3 = 1/2

m=1/2-2/3

m=-1/6

Answer:16(1+2)

Step-by-step explanation:

Answer: 1 is 149 and 2 is 70

Step-by-step explanation: the hint actually provides a lot of information using the information we can use the sum of m angle 1 and m angle 2 to get the exterior angle this is known as the exterior angle theorem

By adding the 2 angles of 63 and 86 we can get 149 that is the answer for number one

2 is a bit different because we already have the exterior angle but not one of the interior angles this is a problem that can be solved by the interior angle theorem by subtracting the exterior angle by the fixed interior angle we can get 70 those are the answers