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Assoli18 [71]
2 years ago
12

Question 20 (5 points)

Mathematics
1 answer:
Sloan [31]2 years ago
3 0

Answer:

Question 20   3 < c < 9

Question 21    2.5

Step-by-step explanation:

hope this helps u

You might be interested in
Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%
Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = A=1000(1+\frac{0.06}{365})^{(365\times t)}

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

A=1000(1+\frac{0.06}{365})^{(365\times 5)}

   = 1000(1+0.000164)^{1825}

  = 1000(1.000164)^{1825}

  = 1000(1.349826)

  = 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0
3 years ago
Find the value of x.
Irina-Kira [14]
The 2 angles are complementary angles and need to equal 90 degrees.

Making an equation we have:

4x-10 + x = 90 degrees

Add like tems:
4x +x = 5x

Now we have:
5x-10 = 90

Add 10 to both sides:

5x = 100

Divide both sides by 5:

x = 100/5

X = 20


5 0
3 years ago
Read 2 more answers
For which value 0 is the statement sin 40= cos 0 true ?
makvit [3.9K]

Answer:

50°

Step-by-step explanation:

sin 40° = cos 50°

Hope it helps you in your learning process.

7 0
3 years ago
Find the solution of the system of equations.<br> 4x – 2y = -6<br> x + 4y = -24
Zielflug [23.3K]

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

5 0
3 years ago
The account balance of each of three children at the end of a month is shown below:
xeze [42]

Answer:

A)  See attached.

B)  Cheryl owes the bank more.

Step-by-step explanation:

Given account balances:

  • John:  -$2.75
  • Cheryl:  -$3.00
  • Andrew:   $2.75

(Andrew has as much savings in his account as the amount John owes).

<h3><u>Part A</u></h3>
  • Draw a straight, horizontal line with arrows on both ends.
  • Place a tick in the center of the line and label it zero.
  • Draw 4 evenly spaced ticks either side of the zero.
  • Number the ticks to the right of the zero 1, 2, 3 and 4.
  • Number the ticks to the left of the zero -1, -2, -3, and -4.
  • Mark -2.75, -3 and 2.75 on the number line.
  • Label the marks with John, Cheryl and Andrew.

(See attached number line).

<h3><u>Part B</u></h3>

The <u>absolute value</u> of a number is its <u>positive numerical value</u>.

To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:

  • John:  |-2.75| = 2.75
  • Cheryl:  |-3.00| = 3.00

As 3.00 > 2.75, Cheryl owes the bank more.

8 0
1 year ago
Read 2 more answers
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