Juan borrowed $1500 from a credit union for 7 years and was charged simple interest at a rate of 2.97%. What is the amount of interest he paid at the end of the loan

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]

do cross multiplication

[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]

Answer:

6

Step-by-step explanation:

Foot long = 1 foot

6 / 1 = 6 foot pieces

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

Step-by-step explanation:

[tex] \frac{1}{2} = asian \\ \frac{1}{3} = european \\ 36 = american \\ \frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6} \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} = 36 \\ \frac{1}{6} = 36 \: so \\ \frac{6}{6} =6 \times 36 = 216 \\ \frac{1}{2} \times 216 = asian \\ \frac{1}{2} \times 216 = 108asian \\ please \: mark \: brainliest[/tex]

There are total 108 coins belonging to Asian countries.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Balu had a collection of coins 1/2 of the coins were from Asian countries, 1/3 of them from European countries and the remaining 36 from America.

Let the total number of coins be x,

Establishing the equation, we get,

x/3+x/2+36 = x

Multiplying the equation by 6, we get,

2x+3x+216 = 6x

6x-5x = 216

x = 216

Therefore, the total numbers of coins are 216,

Since, there are 1/2 of total coins are Asian coins,

Therefore, number of Asian coins = 216 / 2 = 108

Hence, There are total 108 coins belonging to Asian countries.

For more references on equations, click;

https://brainly.com/question/29657983

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Answer:

16=/-4+3+2

16=/-1jhcdf why

hyee852iok

Answer:

Hola busco amigos

Perdí mi otra cuenta

Ayúdame y te ayudo con tus tareas

¿ si?

Step-by-step explanation:

Answer:

question please so I can help you

Answer:

7x - 8

Step-by-step explanation:

Hope this helps!

Mark Brainliest please

Answer:

38 degrees

Step-by-step explanation:

Let the angle be x

Supplement:: 180-x

Equation:

x = 180-x + 104

2x = 284

x = 142 degrees

therefore , 180-x = 180-142= 38 degrees

Dividing each term in the given series by 0.315 reveals a simple geometric sum,

0.315 (1 + 1/1,000 + 1/1,000,000 + …)

or

0.315 (1 + 1/10³ + 1/10⁶ + …)

or

[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]

i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that

[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]

if |r | < 1. This is the case here, so

0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)

… = (315/1000) / (999/1000)

… = 315/999

… = 35/111

Answer:

a) The difference is of 3.222 lbs.

b) 1.64 standard deviations.

c) Z = 1.64

d) Not significant, as the z-score of 1.64 is between -2 and 2.

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 mean of all of the weights is x=2.088 ​lb, and the standard deviation of the weights is s=1.968 lb.

This means that [tex]\mu = 2.088, \sigma = 1.968[/tex]

a. What is the difference between the weight of 5.31 lb and the mean of the​ weights?

This is [tex]X - \mu = 5.31 - 2.088 = 3.222[/tex]

The difference is of 3.222 lbs.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

This is the z-score. So

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

[tex]Z = \frac{5.31 - 2.088}{1.968}[/tex]

[tex]Z = 1.64[/tex]

1.64 standard deviations.

c. Convert the weight of 5.31 lb to a z score.

Z = 1.64, as found above.

d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the weight of 5.31 lb​ significant?

Not significant, as the z-score of 1.64 is between -2 and 2.

Answer:

The length is 8 cm. Since its a square, so the length of both its sides are equal.

l^2=64

where l=length of side

square root both sides

then, l=8

Answer:

8cm is the length of its side.

Step-by-step explanation:

Answer:

angle A is 112 degree.

Step-by-step explanation:

quadilateral have 4 angles .

sum of the interior angles of a quadilateral is 360 degree

Here,

angle A = be x

angle B = 122

angle C = 75

angle D = 51

Now,

angle A + angle B + angle C + angle D =360 degree

x + 122 + 75 + 51 = 360

x + 248 = 360

x = 360 - 248

x = 112

Answer:

22 units

Step-by-step explanation:

split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units

Answer:

Step-by-step explanation:    ts  6  11    19    56

Laura, David, and Carlos served a total of 115 orders

David served 3 times as many orders as Carlos.                 David = 3x

Laura served 10 more orders than Carlos.                      let Carlos = x

How many orders did they each serve?                           Laura  =  x + 10

     Carlos  +  David  +  Laura  = 115

          x  +     3x    +    x+10       = 115

                        5x + 10     =  115

                               5x   =  115 - 10

                               5x   =  105

                                x   =   21    Carlos

                                          63   Davide

                                          31    Laura

                 add then up    115  Total

Answer:

The answer is C

Hope this helped!

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 to find AB

in triangle ADB

here 4 and 2[tex]\sqrt{6}[/tex]  are the legs of the right triangle so let them be a and b respectively.

AB is the hypotenuse (longest side ) and let it be x

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = AB^2

16 + 4*6 = AB^2

16 + 24 = AB^2

40 = AB^2

[tex]\sqrt{40}[/tex] = AB

[tex]2\sqrt{10}[/tex] = AB

therefore AB =v[tex]2\sqrt{10}[/tex] .Hence proved .

In triangle ADC

here 6 and [tex]2\sqrt{6}[/tex] are the legs of the right angle so let them be a and b respectively. AC is the hypotenuse (longest side) so let it be c

usinfg pythagoras theorem

a^2 + b^2 = c^2

6^2 + [tex](2\sqrt{6} )^2[/tex] = AC^2

36 + 4*6 = AC^2

36 + 24 = AC^2

60 = AC^2

[tex]\sqrt{60}[/tex] = AC

[tex]2\sqrt{15}[/tex] = AC

To prove triangle ABC is a right angled triangle

AD and BD are the legs and AB is hypotenuse

according to pythagoras theorem to be the right angle triangle the sum of square of two smaller sides of a triangle must equal to the square of hypotenuse(longest side)

let two smaller sides be a and b respectively and c be hypotenuse

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = [tex](2\sqrt{10} )^2[/tex]

16 +2^2*6 = 2^2*10

16 + 4*6 = 4*10

16 + 24 = 40

40 = 40

since both sides are equal it is proved that the triangle ABC is a right angled triangle.

Hope this helps u !!

Answer:

2 square root 10

Step-by-step explanation:

firstly you must find the hipotenus using the hipotenus formula AB is the hipotenus

(4)*2 + (2 square root 10)*2 = 40 juat press a calculator if you dont know

and then you press square root of 40 then you will get 2 square root 10 so you already prove that AB is 2 square root 10

Answer:

Choose (D)

y-y1=m(x-x1)

y-2=1/2(x+6)

Answer:

Up 2 to the right 1

Step-by-step explanation:

that would be i think

Answer:

a. Quantitative

b. Qualitative

c. Qualitative

d. Quantitative

e. Qualitative

f. Quantitative

Step-by-step explanation:

Qualitative measures:

Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.

Quantitative measures:

Answers are numbers in which comparisons are made, or possible operations.

a. The yearly salaries of the employees at a school district.(2pts)

Salaries are numbers, in which comparisons can be made(more or less), so quantitative.

b. The employee numbers of the employees at an accounting firm.(2pts)

Number, but comparisons aren't made with these numbers, so qualitative.

c. The area codes of a sample of 350 residents of nursing homes.(2pts)

Number, but comparisons aren't made with these numbers, so also qualitative.

d. The ages of a sample of 350 residents of nursing home. (2pts)

Number, comparisons made, you can rank by age for example, so quantitative.

e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)

Labels, so qualitative.

f. The IQ index of the students in a statistics class.(2pts)

Students can be ranked by IQ, so quantitative.

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.

  r = 480/768 = (5·96)/(8·96) = 5/8

The common ratio is 5/8.

please attach a diagram

2 divided by 32 is 16 so im gonna say 16

16 is ur answer

Answer:

y - 2 = 1/3(x - 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the slope:

y - y1 = m(x - x1)

y - y1 = 1/3(x - x1)

Plug in the given point:

y - y1 = 1/3(x - x1)

y - 2 = 1/3(x - 3)

So, the correct answer is y - 2 = 1/3(x - 3)