If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?

Step-by-step explanation:

total children = 40

number of boys = 10

then

percentage of boys = 10/40*100

25percent are boys

Answer:

10/40×100.

1/4×100.

25%.

Answer:

Her electric toothbrush makes 210,000 rotations in one week

Step-by-step explanation:

Note that:

∵ Gerry brushes her teeth for two minutes, twice a day

→ Twice means times 2

∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day

∵ Gerry's electric toothbrush rotates the brush 125 times per second

∵ 1 minute = 60 seconds

→ Multiply 125 by 60 to find the number of rotating in 1 minute

∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute

∵ Gerry brushes her teeth for 4 minutes a day

→ Multiply it by 4 to find the number of rotation in 1 day

∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day

∵ 1 week = 7 days

→ Multiply the number of rotation in 1 day by 7 to find it in 1 week

∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week

∴ Her electric toothbrush makes 210,000 rotations in one week

Average of all positive Integers , when written in base 10 is 58.

given,4 digits base 3

smallest 1000 = 3^3 = 27

biggest  2222 = 2*27+2*9+2*3+2 = 802 digits base 6smallest 10 = 36biggest  1000-1 = 6^3-1 = 4095.

So the intersection of these is 36 to 80 ,  80-36+1 = 45

sum of numbers from 36 to 80 = (45/2)(72+44) = 45/2*116= 45*58 = 2610                       average = 2610/45 =58A more straight forward approach would be to say that of there are 45 numbers the median on is in the 46/2 = 23rd position.

 In this case the median and the mean will be the same.                          36+23-1 = 58.

The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average. It is the point above and below which half (50%) the observed data falls, and so represents the midpoint of the data.

Median is not dependent on all the data values in a data set. The median value is fixed by its position and is not reflected by the individual value. The distance between the median and the rest of the values is less than the distance from any other point.

to know more about integers;

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Answer:

a) 2.6

b) -15

c) 9

d) [tex]\frac{3}{10}-(-\frac{2}{3})=\frac{3}{10}+\frac{2}{3}=\frac{9}{30}+\frac{20}{30}=\frac{29}{30}[/tex]

e) 1.26

Step-by-step explanation:

Answer:

y - 5 = 6(x+1)

Step-by-step explanation:

if it is perpendicular to a line whose slope is -1/6, the slope of this line is the negative reciprocal which is 6.

y - 5 = 6(x+1)

this is point slope form btw

Answer:

yes

Step-by-step explanation:

s + 2c = 47

5s+8c = 200

which one checks as in the other solution does not have a solution in non-negative integers. On the other hand, the analogous system

s + 2c = 47

5s+8c = 201

with solution s=13 and c=17. So, as in the other solution, we conclude that the extra dollar belongs in the cash box, with 13 singles and 17 couples attending the dance.

Its A I know it m8 trust me

Answer:

A C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Leah wants to earn at least 120 dollars a month and she has two job options. This is written as

5x + 8y > 120

She also can't work more than 20 hours, leading us to the second equation

x + y = 20

First we solve for one variable

y = 20 - x

then substitute it into the first equation

5x + 8(20 - x) = 120

Solve for x

5x + 160 - 8x = 120

3x = 40

     x = 40/3

Then we solve for y

y = 20 - x

     y = 20/3

x < 40/3

y > 20/3

B and D will not work because their x+y is greater than 20.

E will also not work because the value is less than 120

Answer:

Please check the explanation.

Step-by-step explanation:

We know the equation

y = kx

k = y/x

where k is the proportionality constant

so,

First ratio can be calculated as

Miles = 45

Hours = 3/4

The ratio = 45 / (3/4)

                = (45 × 4) / 3

                = 180/3

                = 60

Thus, the proportionality constant = 60

Thus, the remaining ratios can be calculated as:

The Pair (135, Hours)

135/Hours = 60

Hours = 135 / 60

           = 27/12

           = 9/4

           = 2.25

Thus, the pair is (135, 2.25)

The Pair (Miles, 3)

Miles/3 = 60

Miles = 60×3

         = 180

The Pair (90, Hours)

90/Hours = 60

Hours = 90 / 60

          = 3/2

          = 1.5

Thus, the complete table:

Miles           45           135           180             90

Hours           3/4          9/4           3                 3/2

Verification:

Miles / Hour =  45/(3/4) = 60

Miles / Hour = 135 / 2.25 =  60

Miles / Hour = 180 / 3 = 60

Miles / Hour  = 90 / 1.5 =  60      

Answer:

B. -6 ≤ y ≤ 9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the line in the graph, our y-values span from -6 to 9. Since both are closed dot, they are inclusive in the range:

Range: [-6, 9] or -6 ≤ y ≤ 9

Answer:

B

Step-by-step explanation:

The solid circles at both ends of the graph are (- 10, - 6 ) and (0, 9 )

The range is the values of y covered by the graph, that is from - 6 to 9

Since the circles are solid then y can equal - 6 and 9

Thus

the range is - 6 ≤ x ≤ 9

Answer:

2/3 inch

Step-by-step explanation:

12 divided by 8

Answer:

the answer is G because each grab the probability is 1/5 and 1/5*1/5= 1/25

Answer:

I told my parents and x= 18

Step-by-step explanation:

Answer:

36.87 degrees

Step-by-step explanation:

we can use the cos ratio:

cos(x) = adjacent/hypotenuse

cos(x) = 12/15

x = [tex]cos^{-1} (4/5)[/tex]

x=36.87 degrees

Answer:

A -> (0,-4)

B -> (3, -8)

C -> (4, 0)

Step-by-step explanation:

Hiya! When it came to this, the goal of shifting a figure across the x-axis is to get it flipped across the horizontal line. By doing this, which I may potentially be incorrect on, I assumed that you would have to take the negatives of the y values in order to make that shift downwards. I left the x-values be, as I believe they remain stable when you're only doing a reflection across the x-axis. C also remained the same, as a negative of a zero is still a zero. If you would like to see this change graphed out, I would recommend plugging the coordinates into Desmos to see the shapes. I hope this at least helped a little!

Answer:

30w+ 15p<480

6w<180

Step-by-step explanation:

Answer:

Y≥0 X≥0 6x+6y≤180 30x+15y≤480

Answer:

1025437

Step-by-step explanation:

1000000+25437=1025437

Answer:

1025437

Step-by-step explanation:

hope it helps, please mark as brainliest

Answer:

The limit of f(f(x)) = -1.

Step-by-step explanation:

Limt x--> -1 of  f(x) = 3.

This output is now applied to f(x):

Limit x---> 3 of  f(x) = -1.

The domain of the given relation (-6, 0), (2, 1), (-7, -4), (11, 2), (3, 2) is (A)

{x | x = -5, -3, 1, 2, 6}.

So, consider the diagram provided.

Therefore, the domain of the given relation (-6, 0), (2, 1), (-7, -4), (11, 2), (3, 2) is (A) {x | x = -5, -3, 1, 2, 6}.

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The correct question is given below:
A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).

What is the domain of the relation?

(Refer to the diagram for options)

Answer:

13

Step-by-step explanation:

Like the previous problem, let's state what we know.

We know 4 and k = 17

so

4+k=17

Which means k=13

Answer:

Its A!

Step-by-step explanation:

i took the test on edge 2020-2021

Answer:

2

Step-by-step explanation:

Answer:

360,000

Step-by-step explanation:

The probability that Paul and Yuri get the weather they want = 27/64

Given probability for rain = 75% = 3/4

The total probability is considered as 100% or 1.

So the probability for sunny day = 1 - 3/4 = 1/4

Paul and Yuri want a sunny day from labor day 4 -day weekend.

This means 3 days of rain and 1 sunny day. So 3 times the probability for rain and 1 time the probability for sunny day.

This one sunny day can be chosen from 4 days. In other ways there is 4C1 =4 different ways possible to choose 3 days of rain and 1 sunny day from 4 days.

So finally the probability that Paul and Yuri get the weather they want

= [tex]\frac{3}{4}^3 \times \frac{1}{4} \times 4[/tex] = 27/64

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Answer:

k is the slope of the graph.

Step-by-step explanation:

X-Intercept: [tex](\frac{13}{2},0)[/tex]

Y-Intercept: [tex](0,-2)[/tex]

As for the graph, you mark 13/2, or 6.5 on the x-axis for your first point, and -2 on the y-axis for your second point. Then, draw your line and you have your graph.

Hope this helps! If so, lmk!

Answer: 80

Step-by-step explanation:

Number of visitors in first week = 5

Number of visitors in second week = 10

Number of visitors in third week = 20

The common ratio here is = 10/5 = 2

The fifth term will be:

= ar^n-1

where,

a = first term = 2

r = ratio = 2

n = number of terms = 5

= 5 × 2^(5-1)

= 5 × 2^4

= 5 × 16

= 80

Answer:

18

Step-by-step explanation:

60% of 50 is 0.60x50=30

40% of 30 is 0.40x30=12

30-12=18

So 60% of 50 is 18 greater than 40% of 30.