Challenge for you:

You deposit $400 each month into an account earning 5% annual interest compounded monthly.

a) How much will you have in the account in 20 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?

Answer:

wto

Step-by-step explanation:

-105

Multiply first, then subtract, then add.

Answer: the answer would be -105.

Answer:

cos(x).

Step-by-step explanation:

Derivative of sin(x) + 5

= cos(x).

Answer:

10^9

Step-by-step explanation:

1,000,000,000

There are 9 zeros

This is in the form

a* 10^b  where a is the first digit and b is the number of zeros

1 *10^9

We can drop the 1 because 1 times anything itself

10^9

Answer:

10^9 meters.

Step-by-step explanation:

A small trick I use is counting how many zeroes trail behind the one.

If we count the number of zeroes behind the one, there are 9.

Therefore 1,000,000,000 = 10^9 meters.

This can be proved by taking a number, say 1. If you multiply that by 10, you add a zero to the end of it.

Although you said the variance is 120, I suspect you meant to say standard deviation. If that's the case, then

P(970 < x < 1320)

= P((970 - 1250)/120 < (x - 1250)/120 < (1320 - 1250)/120)

≈ P(-2.3333 < z < 0.5833)

= P(z < 0.5833) - P(z < -2.3333)

≈ 0.72012 - 0.009815

≈ 0.7104

If you really did mean variance, then

P(970 < x < 1320)

= P((970 - 1250)/√120 < (x - 1250)/√120 < (1320 - 1250)/√120)

≈ P(-25.5604 < z < 6.3901)

= P(z < 6.3901) - P(z < -25.5604)

≈ 1 - 0

≈ 1

Answer:

[tex]12a^3d^2-6ad^3[/tex]

To factor an integer, we need to divide it by the ascending sequence of primes 2, 3, 5

In the end, the number of times each prime divides the original integer becomes its exponent.

Prime number 2  to the power of 2 equals 4 .

Prime number 3 to the power of 1 equals 3 .

[tex]2^{2} \times 3\times a^{3} \times b^{2} -(2\times3)ad^{3}[/tex]

Result:-  [tex]6ad^2\left(2a^2-d\right)[/tex]

 OAmalOHopeO

Answer:

60miles

Step-by-step explanation:

if they drove x miles in the city and y miles on the highway then you know that

x + y = 280

x/12 + y/20 = 16

x + 12y/20 = 16*12 = 192

8y/20 = 88

y = 220

x = 280-y = 280-220 = 60

[tex]{ \boxed{\boxed{\begin{array}{cc} \maltese  \bf \: given \\ \\ \rm \: f(x) = ( {x}^{2} + 16)( {x}^{2} - 9) \\ \\ \bf \: for \: zeroes \\ \\ \pink{ \boxed{\boxed{\begin{array}{c | c} \bf \: {x}^{2} + 16 = 0 & \bf \: {x}^{2} - 9 = 0 \\ \\ = > {x}^{2} = - 16& {x}^{2} = 9 \\ \\ = > x = \pm \sqrt{ - 16} &x = \pm \: \sqrt{9} \\ \\ = > x = \pm \sqrt{ {i}^{2} {4}^{2} } &x = \pm \: \sqrt{ {3}^{2} } \\ \\ = > x = \pm \: 4i&x = \pm3 \end{array}}}} \\ \\ \rm \: x = \pm3 \: and \pm \: 4i\end{array}}}}[/tex]

Option A is the correct answer

Answer:

x < 12

Step-by-step explanation:

subtract 4 from both sides:

x + 4 < 16

   - 4     -4

x < 12

Answer:

x<4

Step-by-step explanation:

x+4 <16

x < 16

4

x<4

I hope this will help you

Answer:

First one=120,138 Second one=477,900

Step-by-step explanation: For the first one use subtraction, and for the second one use multiplication. Such as multiplying each digit of 6,372 by 7 and by 5. The top one is pretty self explanatory.

Answer:

Region C

Step-by-step explanation:

y ≤ ¼ x + 3 maps the areas C and D including the common boundary line

y ≥ -x + 5 maps the areas B and C including the common boundary line

The common area mapped is C plus its boundaries

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

We're not quite sure what the question is.

It appears you may be interested in the names of the groups of 3 digits. Each such group is called a "period." Each period is named for the place value of its right-most digit.

The period just to the left of the decimal point is the "ones" period. To the left of that is the "thousands" period, and to its left is the "millions" period.

When writing the name of a number, the name of the three digits within a period is given, followed by the period name (if it is greater than "ones"). This continues left to right, until you get to the decimal point. For example, the number shown is ...

  eight hundred sixty-two thousand seven hundred ninety-four

Answer:

where is the whole question

Option 1 - StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.

Step-by-step explanation:

Given : Expression "six less than the quotient of a number and two, increased by ten".

To find : What is the expression and value of expression when n = 8?

Solution :

Let the number be 'n'.

The quotient of a number and two i.e. \frac{n}{2}2n

Six less than the quotient of a number and two i.e. \frac{n}{2}-62n−6

Six less than the quotient of a number and two, increased by ten i.e. \frac{n}{2}-6+102n−6+10

The required expression is \frac{n}{2}-6+102n−6+10 .

Now, when n=8,

\frac{n}{2}-6+10=\frac{8}{2}-6+102n−6+10=28−6+10

\frac{n}{2}-6+10=4-6+102n−6+10=4−6+10

\frac{n}{2}-6+10=82n−6+10=8

The value of the expression is 8.

Therefore, option 1 is correct.

StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.

Answer:

P= 6w - 10

P= 2(L+W)

L= 2w-5

P= 2(2w -5+w)

P=2(3w-5)

P= 6w - 10

Answer:

Step-by-step explanation:

Suppose the radius is 1. The parametric equations for the circle are

x = cosθ

y = sinθ

x:y = 3:1

tanθ = ⅓

cosθ = 3/√(1²+3²) =  3/√10

sinθ = 1/√10

The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).

Answer:

Step-by-step explanation:

-24

-55

84

20

-60

Answer:

46.9 times

Step-by-step explanation:

First, we can calculate how many feet it takes to run around the field. To find the perimeter of a rectangle, we can use the formula

2* length + 2 * width. With the length being 450 and the width being 225 here, we can say that

2*450 + 2 * 225 = 1350 feet

Therefore, Andrew runs 1350 feet each time he runs around the field. Next, we need to figure out how much 1350 feet goes into 12 miles as we want to find how many times Andrew runs around the field to get to 12 miles. This can be represented by

12 miles/1350 feet

One thing that we can do here is multiply the fraction by 1 to keep it the same. Because 1 mile = 5280 feet, we can say that

1 mile/5280 feet = 1 = 5280 feet/1 mile. Therefore, it would be safe to multiply

12 miles/1350 feet by 1 = 5280 feet/1 mile. Note that feet is on the bottom in the first fraction (12 miles/1350 feet) and on the top in the second (5280 feet/1 mile) so they will cancel out. Similarly, miles are on top in the first and bottom in the second. We then have

12 miles/1350 feet * 5280 feet/1 mile =63360/1350 ≈ 46.9

Answer:

40

Step-by-step explanation:

2x² - 5y + 7 when x = 2 and y = -5

2(2)² - 5(-5) + 7

= 2(4) -5(-5) + 7

= 8 + 25 + 7

= 40

Hi there!  

»»————-　★　————-««

I believe your answer is:  

330

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We are rounding the number 326 to the nearest tens.

The '2' is in the tens place, and the '6' is to the right of the digit.

Since the '6' is greater than or equal to 5, then we would round up.

326 ≈ 330

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

he would need about 5 more hits to make his average equal to that in 2021

128/501 = .255

The player needs 5 consecutive hits in order to raise his 2010 batting average to that of 2011.

An average of a list of data is the expression of the central value of a set of data. It is also defined as the ratio of summation of all the data to the number of units present in the list.

It is given that a professional player had 123 hits and 501 at-bats in 2010 and in 2011, he had 131 hits and 515 at-bats.

Also, the baseball player's batting average is equal to the number of hits divided by the number of at-bats.

Average in 2010 - 123/501 = 0.245 .

Average in 2011 - 131/515 = 0.254 .

Thus if he increases the number of shots to 5 then we have the total number of shots as 123 + 5 = 128 .

Therefore the batting average for 2010 becomes - 128/501 = 0.255 which matches the batting average of 2011.

Thus, the player needs 5 consecutive hits in order to raise his 2010 batting average to that of 2011.

To learn more about average, refer -

https://brainly.com/question/1635504

#SPJ2

Answer:

3/10

Step-by-step explanation:

2/5*3*4

=6/20

=3/10

9514 1404 393

Answer:

  990 square inches

Step-by-step explanation:

The area is the half the product of length and height.

  A = (1/2)(18 in)(110 in) = 990 in²

The area of the triangle is 990 square inches.

Step-by-step explanation:

he use 50cm length of the wood

Answer:

C) 2

Step-by-step explanation:

From the point (2,0), the next point on the graph is up 2, right 1, meaning that the slope is a positive 2.

9514 1404 393

Answer:

  f, h, g

Step-by-step explanation:

You can look at the slope of the tangent lines to the graphs at any given x-value. At x=5, we see that g(x) is the flattest curve and f(x) is the steepest.

In order from greatest to least growth rate, the functions are ...

  f(x), h(x), g(x)

Answer:

105 sq ft + 31 sq ft

Step-by-step explanation:

=  136 sq ft

Hope it helps✌✌