Juan decided to start saving for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?

Answer:

12.4cm (rounded to nearest tenth)

Step-by-step explanation:

To find the length of an arc, you have to find the circumference of the full circle itself multiplied by the angle of the arc over 360°. The circumference of a circle is pi × r × 2.

Length of arc = [tex]\frac{90}{360}[/tex] × 3.14 × 7.9 × 2

                      = 12.403

                      ≈ 12.4cm (rounded to nearest tenth)

Answer:

B -1/2

Step-by-step explanation:

The given trigonometric expression can be evaluated as -1/2.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given trigonometric expression is as below,

cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7)

Suppose, A = 11π/7 and B = π/7

Then, the given expression can be written as,

cosAcosB - sinAsinB

As per the trigonometric identity cos(A + B) = cosAcosB - sinAsinB.

Then, the given expression can be written as,

⇒ cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7) = cos(11π/21 + π/7)

⇒ cos(2π/3) = -1/2

Hence, the exact value of the given expression is -1/2.

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Answer:

well no, π is a real number and 1/9 is a real number but they are not equal

Yes, If you saying a=a

Step-by-step explanation:

Answer:

Yes, that's true

Step-by-step explanation:

If a real number is the representation of a specific value, then said number should equal itself.

Answer:

7 and 3

Step-by-step explanation:

7 + 3 = 10

7 - 3 = 4

Answer:

I need help with this one toooo T~T

Step-by-step explanation:

1. Yes U,U

Answer:

when finding the area of a triangle you need to multiple the base and hight then divide that number by 2

Answer:

5 people?

Step-by-step explanation:

Because if 2 dallars plus one thats 3 and she only has 15 if she wants to only spend that she onlyinvite 5 if she only has 15 bucks

Answer:

1200 would be an estimate

Step-by-step explanation:

Rounding to the nearest 10's digits would be a method of estimation. For example, in this case, 63 would round down to 60 and 19 would round up to 20 for a quick estimate. 60 times 20 = 1200

Answer:

1197

Step-by-step explanation:

63 x 19 = 1197

Can you mark me brainliest

Answer:

0.06 of the floor mopped per minute

Step-by-step explanation:

Answer:

Katie runs fastest

Step-by-step explanation:

For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)

For Tony; his speed is 12ft/s

For Katie;

Katie runs 450 feet in 30seconds;

450 feet = 30 secs

x = 1 sec

Cross multiply

30x = 450

x = 450/30

x = 15ft

Hence Katie runs 15ft/s

For Frank;

Frank ran 1 mile per 577secs

1 mile = 5280feeet

This mean that he ran 5280feet in 577 secs

5280feet = 577secs

y = 1 secs

cross multiply;

577y = 5280

y = 5280/577

y = 9.15ft/s

Hence Frank ran 9.15ft/s

For Adam;'

If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs

880 ft = 60secs

z = 1sec

Cross multiply

60z = 880

z = 880/60

z = 14.67ft/s

Hence Adam ran 14.67ft/s

From the value of their speed, we can see that Katie runs fastest with a speed of 15ft/s

Answer:

The equation that relates distance, rate, and time is

       d  =  rt

Step-by-step explanation:

Answer:

$13.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the team traveled 148miles south.

and also they traveled 132miles north.

Step two:

We are expected to solve for the total distance the team traveled

Hence total distance= 148+132= 280 miles in all

Note: the team;'s displacement is 148-138= 10miles in

Answer:

$0.31

Step-by-step explanation:

Unit price is measured by dividing the price by the amount of an item, so 3.72/12 = 0.31

Answer: The answer is C

Step-by-step explanation:

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, [tex]\mu=18[/tex]

and standard deviation, [tex]\sigma=2.6[/tex]

The z-score, for any arbitrary life span of  x year, is given by

[tex]z=\frac{x-\mu}{\sigma}[/tex]

By using the given values, we have

[tex]z=\frac{x-18}{2.6} \cdots(i)[/tex]

The z-score for x=24, by using equation (i), is

[tex]z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31[/tex]

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

Answer:

A

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Write the equation in slope-intercept form: y = mx +b

y + 3 = x + 4

     y = x + 4 - 3

    y  = x + 1

Slope = 1

Answer:

1.6

Step-by-step explanation:

Answer:

1.6% hope this helps a little

Step-by-step explanation:

Answer

3. 14

4. 4

5. 8

Step-by-step explanation:

Answer:3) a=14      4( x=4        5) a=8

Step-by-step explanation:

3)QUESTION: 4+a=18

first you -4 from both sides to get rid of the 4 to put a on its own so now it is

a=14

ANSWER: a=14

4)QUESTION: 7x=28

you divide 7 by both sides to make 7 x to x

x=4

ANSWER: x=4

5) QUESTION:a+5=13

you minus 5 from both sides to put a on its own.

a=8

ANSWER= a=8

Answer:

hfhufittitt748474uuttioe707po5i5tii5i4tio5

Answer: Graph A

Step-by-step explanation:

got it right edg2021

Answer:

-Max has $10.00. He earns $25.75 for every lawn that he mows.

-Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

Step-by-step explanation:

Answer:

−15, 0, 27, 1102

Step-by-step explanation:

Answer:

1, 2, 3...

Step-by-step explanation:

Integers can be whole numbers, counting numbers, etc. I hope this helps!

Answer:

0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]

Step-by-step explanation:

We need to write 0.0021 in scientific notation.

Scientific Notation: A number expressed in scientific notation is written when numbers between 1 to 10 are multiplied by a power of 10.

In the given example 0.0021 our decimal will be shifted to the right 3 digits and the power will be negative 3 (-3)

So, 0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]

Answer:

16r+8

Step-by-step explanation:

12r+4r+8=

16r+8

Answer:

y= -2x+ 5

Step-by-step explanation:

plug in y=mx+b

The equation 2x + y = 5 written in the slope-intercept form is y = -2x + 5, where the slope is -2 and the intercept is 5.

An equation in the slope-intercept form is written as y = mx + c.

The given equation is 2x + y = 5.

To write the given equation in slope-intercept form, subtract both sides of the equation with 2x,

(2x + y) - 2x = 5 - 2x

2x + y - 2x = 5 - 2x

y = 5 - 2x

Rearrange the terms

y = -2x + 5

Here, -2 is the slope and 5 is the intercept.

Thus, the slope-intercept form of the equation 2x + y = 5 is y = -2x + 5.

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Answer:

32 pages per hour

Step-by-step explanation:

Answer:

y = -2x - 4

Step-by-step explanation:

y + 1 = -2x - 3

Subtract 1 from both sides to get the y by itself

y = -2x - 3 - 1

Simplify (Combine Like terms)

y = -2x - 4

Case 1 :

Radius, r = 5 feet.

Area,

[tex]A=\pi r^2\\\\A = 3.14\times 5^2\ feet^2\\\\A = 78.5\ feet^2[/tex]

Case 2 :

Diameter, d = 56 mm.

So, radius, r = d/2 = 28 mm.

Area,

[tex]A = 3.14\times 28^2\ mm^2\\\\A = 2461.76\ mm^2[/tex]

Hence, this is the required solution.