Find the interest. All rates are annual interest rates. Principal $1,000. Rate 8.5 percent Time 3 year

Answer:

The correct answer is:

Ken will have run 3 laps and Hamid will have run 4.

Explanation:

To find this, we first find the number of seconds that will have passed when they meet again.  We use the LCM, or least common multiple, for this.  First we find the prime factorization of each number:

80 = 10(8)

10 = 5(2)

8 = 2(4)

4 = 2(2)

80 = 2(2)(2)(5)(2)

60 = 10(6)

10 = 5(2)

6 = 2(3)

60 = 2(2)(3)(5)

For the LCM, we multiply the common factors by the uncommon.  Between the two numbers, the common factors are 2, 2 and 5.  This makes the uncommon 2, 2, and 3, and makes our LCM

2(2)(5)(2)(2)(3) = 240

This means every 240 seconds they will both be at the start line.

Since Ken completes a lap in 80 seconds, he completes 240/80 = 3 laps in 240 seconds.

Since Hamid completes a lap in 60 seconds, he completes 240/60 = 4 laps in 240 seconds.

Answer:

Larger number(x)=20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number= x.

3 times the larger number=3x

4 times the smaller number=4(35-x)

Now, input it into an equation and solve:

3x=4(35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x= the larger number, x=20.

To find the larger number when the sum of two numbers is given and the relationship between them is described, we can set up and solve an equation.

To solve this problem, we can set up two equations based on the given information. Let x represent the larger number and 35 - x represent the smaller number. According to the problem, we have the equation 3x = 4(35 - x). Solving this equation will give us the value of x, which represents the larger number.

Expanding the equation, we have 3x = 140 - 4x. Combining like terms, we get 7x = 140. Dividing both sides by 7, we find that x = 20. Therefore, the larger number is 20.

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Answer:

-290/180 × pi

-29pi/18

Or, -5.06

Answer:

$68+($6xd) </= $194

Step-by-step explanation:

monthly bus pass plus the amount of days she buys lunch times $6 has to be less than or equal to $194

Answer:

the equation is C: y=6x-6

Answer:

Step-by-step explanation:

(1,0) (2,6)

(6-0)/(2-1)

6/1= 6

y - 0 = 6(x -1)

y = 6x - 6

answer is c

Answer:

Step-by-step explanation:

3x-2y=10

5x+y=4

15x-10y=50

15x+3y=12

-13y=38

y=-38/13

Substitute for y

x=54/39

Answer:

Step-by-step explanation: 0.97 times 6 to get 5.82

Then 2.64 plus 5.82 to get 8.46

Lastly 20 - 8.46 = 11.54

Answer: 36 square inches

Step-by-step explanation: The trapezoid is divided into three triangles.

The formula for the area of a triangle is 1/2(b*h). Replace the variables with the values in the drawing.

1/2(4*6)

= 1/2(24)

=12

There are 3 triangles, so multiply the area of 1 triangle (which is 12) by 3.

12*3

=36

Label the final answer.

36 square inches

Answer:

A

Step-by-step explanation:

Given

4x - 5y = 14 ← substitute y = 2 into the equation and solve for x

4x - 5(2) = 14, that is

4x - 10 = 14 ( add 10 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6 → A

Hello! Remember you have to write complete question in order to get good and exact answers. Here you haven't provided any function, so I'll help you providing this one:

[tex]f(x)=3x^2+5x-6[/tex]

So [tex]f(2)[/tex] means that you need to evaluate the function when [tex]x=2[/tex]. In other words:

[tex]f(2)=3(2)^2+5(2)-6 \\ \\ f(2)=3(4)+10-6 \\ \\ f(2)=12+12-6 \\ \\ \boxed{f(2)=16}[/tex]

In this context:

Correct option is B. 16

The international company has 46864 employees in total.

Step-by-step explanation:

Given that,

An international company has 12,700 employees in one country.

And, this 12,700 employees represents 27.1% of the company's employees.

Therefore, the total number of employees can be found by calculating the 100% of the employees.

Let us assume that the total number of the employees be 'x'.

From the x number of employees, 12,700 employees were 27.1%

Now, framing the above statement in the equation form to solve for x :

⇒ 27.1 % of x = 12700

⇒ (27.1 / 100) x = 12700

⇒ 0.271 x = 12700

⇒ x = 12700 / 0.271

⇒ x = 46863.5 (which is approximately 46864 employees)

Therefore, the total number of employees is 46864.

Answer:

80

Step-by-step explanation:

y-y1=m(x-x1) where (x1, y1)=(1, -7)

y+7=-4(x-1)

y+7=-4x+4

y+7=(-4x+4)*4

y+7=-x+16

y=-x+9

-----------------

y=9−x

y−9=−x

−y+9=x

9−y=x

x=9−y

-----------------

x=9−y

y*x=9 put 1 in for x

y=9

The value of [y] in the coordinate (-3, y) through which the line passes is 9 units.

The general equation of a straight line is -

y = mx + c

Where -

m is the slope of the line.

c is the y - intercept

Given is a line that passes through the points (-3, y) and (1, -7). The slope of this line is m = -4.

We can write from the above data -

The coordinates through which the line passes are → (-3, y) and (1, -7)

Now, the general equation of line -

y = mx + c

So -

- 7 = -4 x 1 + c

- 7 = -4 x 1 + c

- 7 = - 4 + c

c = - 7 + 4

c = - 3

Therefore, we can write, for coordinate (-3, y) as -

y = -4 x -3 - 3

y = 12 - 3

y = 9

The value of [y] will be 9 units.

Therefore, the value of [y] in the coordinate (-3, y) is 9 units.

To solve more questions on straight line graphs, visit the link below-

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Answer:

The cost for Zach's lunch is 12, and for Brain's lunch it cost 8.

Step-by-step explanation:

Since, I am sorry, you can answer from here in out. ;)

Zach spent $6 on lunch and Brian spent $19 on lunch.

To solve this problem, we need to create an equation based on the given information.

Let's assume Zach's lunch cost x dollars.

According to the problem, Brian's lunch cost $4 less than 3 times Zach's lunch, which can be expressed as 3x - 4 dollars.

The total cost for lunch was $25, so we can write the equation: x + (3x - 4) = 25.

Solving this equation, we find that Zach spent $6 on lunch and Brian spent $19 on lunch.

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Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.

Ans is 49.

If we multiply 7*7 then we can get 49 as result.49 is the square number of 7.

HOPE THIS WILL HELP U..✌

The square number between 26 and 63 that is odd will be 49.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The number is between 26 and 63.

26  27  28  29  30  31  32  33  34   35  36   37   38   39   40   41   42    43    44   45    46    47     48     49      50     51     52     53     54    55    56    57   58    59    60    61    62    63

From the given numbers,

49 is the square number between 26 and 63 which is odd.

Here, 7 × 7 = 49

Therefore, the square number between 26 and 63 is 49

odd is 49 as 7 × 7 = 49.

Learn more about a number pattern:

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Answer:

(10^-6) (5.2x1.5 )=10^-6 x 7.8 = 7.8 x10^-6

Step-by-step explanation:

0.000001 x7.8=0.0000078

Answer:

$40.50

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I= P × r × t

Where:

P is the principal amount, which is $300.00.

r equals the interest rate, which 4.5% per year, or as a decimal, 4.5/100=0.045.

t equals time involved, which is 3 years

To find the simple interest, we multiply 300 × 0.045 × 3 to get that the interest is: $40.50

hope this helped! pls give a thanks:)

Answer:x=-2/3

Step-by-step explanation:

Answer:

sin(30) = 1/2

sin(45) = sqrt(2)/2 -> 0.70711

sin(60) = sqrt(3)/2 -> 0.8660

sin(90) = 1

cos(30) = sqrt(3)/2 -> 0.8660

cos(45) = sqrt(2)/2 -> 0.70711

cos(60) = 1/2

cos(90) = 0

Answer:

Step-by-step explanation:

sin30=1/2=0.5

sin 45=(√2)/2=1.41421356237/2=0.70710678...=0.70711

sin 60=(√3)/2=1.73205080757/2=0.86603

sin 90=0

cos30 =(√3)/2=0.86603

co 45=(√2)/2=0.70711

cos 60=1/2=0.5

cos 90=0

Answer:

the correct answer is the first option

Step-by-step explanation:

you just need to put the numbers from highest to lowest

dead sea = 1312

lake assal =512

death valley = 282

valdes peninsula = 131

caspian sea = 92

plz mark me as brainliest :)

Answer:

R = 23.9

Step-by-step explanation:

formula for circles circumfrence is, C = 2*3.14*R

in this one we have to work backwards so we plug wut we have.

150 = 2*  3.14*R

we divide 150 by 2 so it will be

75 = 3.14R

now we divide 75 by pi so wwe get

23.8732414638 = R

Now we round it to nearest tenth

R = 23.9

Answer:

$1.17 per glove

Step-by-step explanation:

56.16 divided by 4 then divide that number by 12

Answer:9400 backpacks

[tex]\geq[/tex]Step-by-step explanation

since the number of packs to be sold in a  is represented by x,

selling price for 1 week = 35x

cost price for 1 week = 15x

profit = 35x-15x = 20x

additional cost of production = 11,000

this implies that 20x - 11,000 [tex]\geq[/tex] 7800

20x - 11,000 [tex]\geq[/tex] 7,800

20x [tex]\geq[/tex] 7800+ 11000

20x [tex]\geq[/tex] 18,800

x [tex]\geq[/tex] 18800/2

x [tex]\geq[/tex] 9,400

at least 9,400 packs have to be sold each week to make a profit of $7800

Answer:

B = 2t + 7,536

Step-by-step explanation:

B - 7,536 = 2t

Add 7,536 to both sides.

B = 2t + 7,536

Answer:

2 of them

Step-by-step explanation:

sqr root xy and the sqr rt x/y

Answer: 32.5g of sugar

Step-by-step explanation:

if 1/2 cup of fruit cocktail is 13g of sugar then half of that, or 1/4 cup is going to be 6.5g of sugar. With that in mind, multiplying our 1/2 by 2 to give us one full cup of fruit cocktail will tell us that there is 26g of sugar in one cup. Adding our 1/4 cup to our whole cup will give us 32.5g of sugar in 1 1/4 cups of fruit cocktail.

Answer: There are 32.5g of sugar in 1 1/4 cup of fruit cocktail.

Step-by-step explanation:

13/2= 6.5

1/4 cups = 6.5g of sugar

6.5x5= 32.5g

Hope this helps!

Answer:

Step-by-step explanation:

Good luck

The length of the arc is 31.92 units

Explanation:

Given that the sector of a circle of radius 6 units.

The angle is given by [tex]\theta=305^{\circ}[/tex]

Arc length of the circle:

The arc length of the circle can be determined using the formula,

[tex]\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)[/tex]

where r = 6 and [tex]\theta=305^{\circ}[/tex]

Substituting the values, we have,

[tex]\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)[/tex]

Multiplying the numerator, we have,

[tex]\ {arc\ length}=\frac{3660 \pi}{360}[/tex]

Substituting [tex]\pi=3.14[/tex], we have,

[tex]\ {arc\ length}=\frac{3660(3.14)}{360}[/tex]

Multiplying the terms, we get,

[tex]\ {arc\ length}=\frac{11492.4}{360}[/tex]

Dividing, we get,

[tex]\ {arc\ length}=31.92 \ units[/tex]

Thus, the arc length of the circle is 31.92 units