David borrowed $30,000 to start a business. Four years later he repaid $1260 in interest. What was the annual rate? Round to two decimal places.

Answers

Answer 1
Annual rate = 1.05%

Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.

Transpose to make r the subject

Prt * 100 = I
r = I/ Pt * 100

Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years

r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%

Related Questions

use n for " a number " three increased by the quotient of a number and two​

Answers

Answer:

[tex]3+\dfrac{n}{2}[/tex]

Step-by-step explanation:

Let the number is n.

ATQ,

The quotient of a number and two​ means n/2

Something is increased means plus.

It means,

The required expression is : [tex]3+\dfrac{n}{2}[/tex]. Hence, this is the required solution.

A restaurant has 5 appetizers, 6 entrees and 1 desserts. How many different meal combinations could you order?

Answers

Answer:

8

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Select the correct answer. The square of z varies inversely as the square root of e. If z=36 when w=16, what is the value of z when w=81?
a. 54
b. 24
c. 182 1/4
d. 7 1/9​

Answers

I believe it is b. 24

The square of z varies inversely as the square root of e. If z=36 when w=16, then value of z is 24 when w=81.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The square of z varies inversely as the square root of e.

If z=36 when w=16

The value of z when w is 81 we need to find

z²=k/√e

where k is a proportionality constant

36²=k/√16

36²=k/4

Apply cross multiplication

1296(4)=k

5184=k

Now let us find when k is 5184 and w is 81

z²=5184/9

z²=576

Take square root on both sides

z=24

Hence, the value of z is 24 when w is 81.

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A function is defined by the equation f(x) = 2x – 5.
1. What is f(0)?
2. What is f())?
3. What is f(100)?
4. What is a when f(x)=9

Answers

Answer:

1.f(0)=-5

3.f(100)=195

4.f(x)=9;ans.14

The value of the equations are

a) f ( 0 ) = -5

b) f ( 100 ) = 195

c) The value of x when f ( x ) = 9 is x = 7

How do equations work?

Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

f ( x ) = 2x - 5   be equation (1)

On simplifying the equation , we get

when x = 0

The equation becomes f (0) = 2 (0) - 5 f (0) = 0 - 5 f (0) = -5 when the value of x = 0 is substituted.

At this point, x Equals 100

In the equation, if we substitute the value of x = 100, we obtain f (100) = 2 (100) - 5 f (100) = 200 - 5 f (100) = 195.

Moreover, if f (x) = 9 9 = 2x – 5

2x = 14 is obtained by adding 5 to both sides of the equation.

We obtain x = 7 by dividing both sides of the equation by 2.

The equations are thus resolved.

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14. The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. When a patron arrives at the restaurant for dinner, find the probability that the patron will have to wait the following time

Answers

Answer:

Incomplete question, but you use the normal distribution to solve it, with [tex]\mu = 23.5[/tex] and [tex]\sigma = 3.6[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes.

This means that [tex]\mu = 23.5, \sigma = 3.6[/tex]

Thus

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - 23.5}{3.6}[/tex]

Find the probability that the patron will have to wait:

More than X minutes:

1 subtracted by the p-value of Z

Between A and B minutes:

p-value of Z when X = A subtracted by the p-value of Z when Z = B.

Less than X minutes.

p-value of Z.

Find the area of △DEF with vertices D(−4, −2), E(−1, −8), and F(−7, −8). The AREA of △DEF is ______ square units. *

Answers

Answer:

If you plot these points you will see that the base is 6 (distance from E to F, count the squares).

The height will be 6 ( distance from line EF to D, again count the squares).

Using the Area formula you get A = 1/2 (6) (6) = 18

HELPPP MEEEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED

Answers

it wouldnt let me type the answer-

Evaluate
[tex] \frac{9 \frac{1}{5} \times 9 \frac{2}{15} }{9 \frac{1}{3} } [/tex]

Answers

The answer is 9 1/350 or 9.002857 as a decimal.

5. The volume of a rectangular prism is 2058 cm3. The length is three times
the width. The height is twice the width. Find the width, length and height of the prism.
a. L- 18 cm, W-6 cm, H- 12 cm
c. L-20 cm, W-6 cm, H-12 cm
b. L- 21 cm, W- 7 cm, H- 14 cm
d. L- 22 cm, W-8 cm, H- 15 cm​

Answers

Answer:

c

Step-by-step explanation:

What is the equation of the graph shown above

Answers

I believe the answer is B
The correct answer is D (3x - 4y = 4)

Explanation:

Let (x1, y1) be (0, -1) and (x2, y2) be (-4, -4).

y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
y + 1 = (- 4 + 1)/(- 4 - 0) * (x - 0)
y + 1 = (-3)/(-4) * x
y + 1 = (3/4)x
(y + 1) * 4 = 3x
4y + 4 = 3x
4 = 3x - 4y
3x - 4y = 4

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 7 liters.

A) What is the probability that daily production is less than 23.4 liters? Use technology (not tables) to get your probability.

Answer=
(Round your answer to 4 decimal places.)

B) What is the probability that daily production is more than 45.7 liters? Use technology (not tables) to get your probability.

Answer=
(Round your answer to 4 decimal places.)

Answers

Answer:

A) 0.0359

B) 0.0829

Step-by-step explanation:

A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359

B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829

One side of triangle is 5x-2 another side is 6x+7 and t is the length of third side then what is true about length of t

Answers

Answer:

[tex]t = \sqrt{ {(5x - 2) {}^{2} + (6x + 7)}^{2} } [/tex]

Which expression is equivalent.

Answers

Option A is the correct answer

Answer:

ok so the correct answer is A!

Step-by-step explanation:

hope it helped!

have a nice day.

Pls can someone help me

Answers

This Is What I Came Up With

Q (-6.6), R (-6.0), S (0.0)

Math Is Not My Intended Purpose. If You Have Suggestions Or Comments Please Do Contact My Programmer On Discord

Distortion #0313

100 POINTS

Solve for x.

−12x+13>35

Drag and drop a number or symbol into each box to correctly complete the solution.

Answers

Answer:

answer is <-8/5

and x <-22/12

hope this helps! feel free to clarify! I solved it based on the question in the photo ya

(a+4)(a-2) please help

Answers

Answer:

a²+2a-8

Step-by-step explanation:

Simplify the expression:
7–3p+4p

Answers

Answer:

7 + p

Step-by-step explanation:

Solve:

7 - 3p + 4p

Simplify using like terms

Wrote problem using addition

7 + ( -3p + 4p)

7 + 1p or 7 + p

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer and Step-by-step explanation:

The simplified expression is:

7 + p

because we subtract 3p from 4p.

#teamtrees #PAW (Plant And Water)

‼️‼️‼️‼️‼️‼️‼️Please tell me the area and attach work but please explain it to me

Answers

Answer:

You have to break it into two rectangles.

Step-by-step explanation:

Once you have it in two rectangles, I found the width of the smaller rectangle because I know the whole side is 16.  I know the larger rectangle has a width of 13.  I subtracted to find that extra little bit of space is 3.  The formula for a rectangle is length x width.  Now you just need to find the area of each rectangle and add them together.

Answer:

Step-by-step explanation:

so what I did is made the full rectangle then removed the blank.

21x16=336

Now the blank space

16x3=48

336-48=288

It is believed that 25% of U.S. homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?

Answers

Answer:

A sample of 801 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

25% of U.S. homes have a direct satellite television receiver.

This means that [tex]\pi = 0.25[/tex]

How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?

This is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]

[tex]n = 800.3[/tex]

Rounding up:

A sample of 801 is needed.

54 x 11 = ( 34 +
) x 11

Answers

Answer:

20

Step-by-step explanation:

34 plus 20 is 54

What would this shape be folded?

Answers

It would be a rectangular prism

Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?

Answers

Answer:

29.7 is the standard deviation :)

Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1​

Answers

Answer:

A. y = cos(x) - 2

Step-by-step explanation:

The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.

However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.

Using the image find the slope of the lineReduce all fractions and enter using a forward slash (i.e. "/). If the slope is undefined, enter "undefined."

Answers

Answer:

2

Step-by-step explanation:

find the slope of a line from a graph following those steps

-pick any two points on the graph that belong to the line,

for example (1,1) and (2,3)

-find out how did you get from one point to the other

to get from (1,1) to (2,3) I went 2 up (rise) and 1 to the right (run)

slope= rise /run = 2/1 =2

Few things to keep in mind:

-To find the slope, always move vertical first (y-axis) and than horizontal( x-axis) , because m=change in y/change in x

-For vertical movement, moving up is positive , moving down is negative

For horizontal movement, moving right is positive , moving left is negative

giving brainly to who ever was right​

Answers

Answer:

it has two factors and one term

Step-by-step explanation:

7 and 9 are numbers whose values are given to us, making them factors, and y is a term representing an answer that is unknown

Answer:

I.d.k if I am right, but here's my answer

It has two factors and the factor (7 + y) has two terms.

Step-by-step explanation:

Notice that the there is an addition of two terms (y and9 ) inside the parentheses.

Outside the parentheses you can notice that the number is 7 multiplying the sum of the terms  mentioned before.

Therefore, you can conclude that the best description for this expression is:

It has two factors and the factor (7 + y) has two terms.

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?

Answers

Answer:

77

Step-by-step explanation:

Each girl would have to sell at least 77 boxes of cookies to get over 1,000.

1000 boxes divided by 13 girls is 76.9230... but round up to 77.

Check answer by multiplying 13 by 77 and you get 1,001.

:) ur welcome

Answer:

77 boxes

Step-by-step explanation:

Let each cell x boxes, then the sum is:

13x ≥ 1000x ≥ 1000/13x ≥ 76.9 ≈ 77

A system of linear equations is graphed. Which ordered pair is the best estimate for the solution to the system? (0, −2) (−412, 212) (−4, 212) (0, 7)

Answers

Answer:

(0,-2)

Step-by-step explanation:

It would be (0,-2) because that is the only one in the solution range,. Solution range is everything above the intersection that is not outside line.

The solution of graphed equations is (-4, 2 1/2).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

From the graph, we have the following highlights.

The x-coordinate of the point of intersection is close to 4

The y-coordinate of the point of intersection is close to 2 1/2.

So, the coordinates can be estimated to be -4 and 2 1/2

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The diameter of our solar system (depending on how you define “solar system”) is about 8,980,000,000,000 kilometers. The distance from our solar system to the nearest star, Proxima Centauri, is about 39,900,000,000,000,000 kilometers. A light-year is the distance light travels in one year, and it is equal to about 9,460,000,000,000 kilometers. a) Write each of these numbers in scientific notation. Explain how you got your answers, and explain why you know that your method works. b) You’d like to both know the end-to-end distance within the solar system and the distance to Proxima Centauri in light-years. Using your scientific notation numbers, convert these distances. What is the ratio of the solar system’s length to the Proxima Centauri distance? c) Light travels at 300,000 kilometers per second. Write this rate in scientific notation. When Proxima Centauri sends out light at that speed, how long does it take to reach our solar system? Can you convert to minutes, hours, days, or years? Does your answer in years correspond to the distance in light-years from our solar system to Proxima Centauri? Why or why not?

Answers

Answer:

Step-by-step explanation:

Place a decimal point to the right of the first real number. write the real number with decimal point

Then count the number of places after the decimal point and this with the power of ten.  For example, in diameter of solar system, after keeping decimal after 8, there are 12 places. so power of 10 is 12

a) 8,980,000,000,000 kilo meters. = 8.98 * 10¹² km

39,900,000,000,000,000 kilo meters = 3.99* 10¹⁶ km

9,460,000,000,000 kilo meters = 9.46 * 10¹² km

b)the distance to Proxima Centauri in light-years = 3.99* 10¹⁶  9.46 * 10¹²

 = 0.4218 * 10⁽¹⁶⁻¹²) = 0.4218 * 10⁴

= 4.218 * 10³ light year

c) Speed of light= 3 * 10⁵ km per second

Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player​ have?

Answers

Answer:

R= 1203 P= 1478

Step-by-step explanation:

2681- 275= 2406/2 = 1203+ 275= 1478

Help! Possess I will give brainiest!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Since both fractions have a different denominator, we need to look for a common denominator.

[tex]\frac{1}{3}=\frac{3}{9}[/tex]   Multiply 3 in both numerator and denominator

[tex]\frac{5}{9} -\frac{3}{9} =\frac{2}{9}[/tex]    

Hence, 2/9 is the answer

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