Suppose $67,050 is divided into two bank accounts. One account pays 6% simple interest per year and the other pays 1%. After seven years there is a total of $15,000 in interest between the two accounts. How much was invested into the bank account that pays 1% simple interest. (Rounded to the nearest cent)?
A. $55,455.56
B. $44,451.55
C. $37,602.90
D. $29,447.10

Answer:

[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \sec( \alpha ) = \frac{19}{2} [/tex]

Step-by-step explanation:

Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;

4=x(Sandra)

Diane= 7(x)

=7(4)

=28

Answer:

8.6 units

rounded would be just 9 ig?

Answer:

Factor and Simplfy

12k+24

Answer:

-12k+24

Step-by-step explanation:

-4(2k-6)-4k

do distributive property

-8k+24-4k

simplify

-12k+24

I think this is what the question is asking

Answer:

The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km

Step-by-step explanation:

The given parameters from the question are;

The elevation of the meteor above the Earth's surface = 100 km

The rate at which the meteor falls = 20 km per second

The 'x' values represent the time in seconds and the 'y' values represent the meteor's height

Therefore, we have;

y = 100 - 20·x

The domain of a function is the set of inputs to the function

Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface

At the start x = 0 seconds

On the Earth's surface, y = 0, therefore;

0 = 100 - 20·x

x = 100/20 = 5

When the meteor just touches the Earth's surface x = 5 seconds

Therefore, the domain is 0 ≤ x ≤ 5.

Answer:

Step-by-step explanation:

Let the relation between the total number of candies (y) and number of bags (x) is,

y = mx + b

Here, b = Extra pieces of candies sitting outside the box.

m = Candies per box

From the question,

x = 4,(Number of bags are 4)

y = 4m + 4

If total number of candies are 36,

36 = 4m + 4

4m = 32

m = 8

Each bag will contain 8 candies.

Therefore, equation representing the relation is,

y = 8x + 4

Now complete the table by substituting the values of x,

    x                 y

    1                 12                    

    2                20

    3                28

    4                36

    5                44

    6                52

    7                60

    8                68

    9                76

   10                84

Answer:

(-6,2) third option is correct

Step-by-step explanation:

x+5y=4    equation1

x-5y=-16   equation 2

by adding both equations we got

2x=-12

x=-6

now put x=-6 in any of the equation to get y...

-6+5y=4  equation 1      

5y=4+6

5y=10

y=10/5

y=2

(-6,2)

Answer:

(-6, 2)

Step-by-step explanation:

Put (-6, 2) into eq1 and eq2

1. (-6) +5(2)= -6 +10 =4  

2.(-6) - 5(2)= -6-10 = -16

only one that works is (-6, 2)

Answer:

B

Step-by-step explanation:

Answer:

Thats a tuff 1 A estimate of B

Step-by-step explanation:

Answer:

- 2x - 5

Step-by-step explanation:

2x - (5 + 4x)

2x - 5 - 4x

- 2x - 5

Answer: The answer is -2x - 5

Step-by-step explanation:

471.2

The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2

so the formula would be (3.14)(5)²(6)

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86

Answer:

2 4 6 8 12 14 16 18 20

Step-by-step explanation:

Answer:2 4 6 8 10 12 14 16 18 20

Step-by-step explanation: just add them or count by 2

Answer:

384 square inches

Step-by-step explanation:

The side is 10×5=50

There are 4 sides of equal surface area so we are at 200

The floor is 8×10=80 so we are at 280

The front is 8×5=40 and the back is the same so add another 40 so we are at 360

Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

Answer:

[tex]540\pi[/tex]

Step-by-step explanation:

Given,

Diameter of the cylinder = 12cm

Radius of the cylinder = 12cm ÷ 2 = 6cm

Height of the cylinder = 15cm

Therefore,

Volume of the cylinder

[tex] = \pi {r}^{2} h[/tex]

[tex] = \pi \times 6 \times 6 \times 15 {cm}^{3} [/tex]

[tex] = 540\pi \: cubic \: cm[/tex]

Hence,

Option 2 is correct for volume of the cylinder in cubic cm:

[tex]540\pi[/tex]

Answer:

the answer is no.a parallelogram is not a rectangular but the opposite is true. the reason is a cause of parallelogram's diagonals.they might not be equal in parallelogram but in rectangular they must be equal.

Step-by-step explanation:

Answer:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. So yes it is a parallelogram.

Step-by-step explanation:

Diagonals of parallelogram are not necessarily equal. This is a known property of a parallelogram. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram. If all sides are equal then, opposite sides are also equal.

Answer:

A = 132 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

132

Step-by-step explanation:

bc khan

Answer:

The answer is C. n = 3

Step-by-step explanation:

I got this answer by using the butterfly method. I multiplied 3 and 2 and got 6. Then take 6 and divide it by 2 and you get 3.

So therefore, n = 3

Please mark brainliest if this helped.

Answer: C n=3

Step-by-step explanation:

First croas multiply the 2 and 3 to get one side

then you multiply 2n and move it to the other side so it can equal

2n=6  

2n/2=6/2

n=3

Answer:

-3 is less than -5

Step-by-step explanation:

the bigger the negative number is, the less it has a great amount of value.

-3>-5 is correct because -3 is greater than -5

-5 is to the left of -3 on the number line is true

-3 is to the right of -5 on the number line is true as well

hope this helps! : )

Answer:

Isosceles!

Hope this helped!

Answer:

c(n)= 14n+2.50

Step-by-step explanation:

Have a good day

Answer:

12 people including herself

Step-by-step explanation:

x = number of people

($200 - $10)/$15.50 = x

x = 12.26

Answer:

It returns the angle whose cosine is a given number.

Step-by-step explanation:

For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"

cos30 = 0.866 Means: The cosine of 30 degrees is 0.866

arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.

Use arccos when you know the cosine of an angle and want to know the actual angle.

Answer:

4

Step-by-step explanation:

Answer: 40

Step-by-step explanation: 65/1.6= around 40