A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in thebank for a while. Calculate the amount of money the group will have given the following scenarios:
b. Hot Bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5
years.

Answers

Answer 1

Answer:

Answer:

The amount of money you will receive is $927.419

Step-by-step explanation:

Consider the provided information.

A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the bank for a while.

We need to calculate the amount of money if hot bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5 years.

Future value can be calculated as:

$FV=PV(1+r)^n$

Substitute PV=800, r=0.03 and n=5 in above equation.

$800(1+0.03)^5$

$800(1.03)^5=927.419$

Hence, the amount of money you will receive is $927.419

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What is the number of real solutions?-7x²-11x-2=0

One solution?
two solutions?
no real solution?
cannot be determined

Answers

Answer: [B]: Two (2) real solutions .
__________________________________________________________
Explanation:
__________________________________________________________
  Given:   -7x² − 11x − 2 = 0 ;
__________________________________________________________
  We see that it is in "quadratic format" ; that is:
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  " ax² + bx + c = 0 ; a ≠ 0 ; "
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Multiply the entire equation by "-1" ; to get rid of the "negative number" :
__________________________________________________________
→ -1 * {-7x² − 11x − 2 = 0} ;
__________________________________________________________
to get: → 7x²  + 11x + 2 = 0 ;
__________________________________________________________
This expression is written in the "quadratic format";

ax² + bx + c = 0 ; in which: a = 7 ; b = 11; c = 2 ;
__________________________________________________________
     The expression cannot be "factored"; so, we can solve for "x" ; by using the "quadratic equation formula" ;
__________________________________________________________

x = {-b ± √(b² − 4ac)} / {2a} ;
______________________________________
Let us solve for:  "(2a)" : 2a = 2 * a = 2 * 7 = 14 ;

Let us solve for: "(b² − 4ac)": 11² − 4*7*2 = 121 − 56 = 65;

→ √(b² − 4ac) = √65
______________________________________
  → " -b" = -11 ;
________________________________________________
So, x = (-11 ± √65) / 14 ;
________________________________________________
There are TWO (2) solutions:
_______________________________________________________
Solution 1) x = (-11 + √65) / 14 = - 0.2098387322643893071; AND:
_______________________________________________________
Solution 2) x = (-11 − √65) / 14 = -1.3615898391641821214 ;
_______________________________________________________
So, there are TWO (2) real solutions.
_______________________________________________________

Make a table of values for: - 4x + 8y = 16

Answers

4x+8y= 16
Possible combinations are;
(x, y)
(0, 2) 4(0)+8(2)=16
(1, 1.5) 4(1)+8(1.5)=16
(2, 1). 4(2)+8(1)=16
(3, 0.5) 4(3)+8(0.5)=16
(4, 0) 4(4)+8(0)=16
I hope this helps you out.

Thx so much 8th grade math is so hard and I’m stuck on like ever question I get

4 is what percent of 20

Answers

20%
Finding percentage u have to
Divide 4/20= 0.2 then multiply by 100 to get percentage which is 20%

If you are riding on a Ferris wheel that is 60 feet tall and it takes you 5 minutes to make one revolution, what is your linear velocity?a. 0.62 feet per second
b. 0.31 feet per second
c. 37.68 feet per second
d. 3.14 feet per second
e. 9.42 feet per second

Answers

By definition, the linear velocity is given by:
$v = w*r$
Where,
w: angular speed
r: radius
We have that the radius of the wheel is
$r = d / 2$
Where,
d: diameter of the wheel
substituting values:
$r = 60/2 r = 30 feet$
Then, we have the following conversions:
1 revolution = 2π radians
1 minute = 60 seconds
Therefore, the angular velocity in radians per second is:
$w = (1)/(5) (2 \pi )/(60)$
$w = 0.0209 (rad)/(s)$
Substituting values we have:
$v = (0.0209)(30) v= 0.62$
Answer:
your linear velocity is:
a. 0.62 feet per second

Answer:

O.62

Step-by-step explanation:

Answer two questions about Equations AAA and BBB:\begin{aligned} A.&&4x+2&=6-x \\\\ B.&&5x+2&=6 \end{aligned}
A.4x+2=6−x
B.5x+2=6

1) How can we get Equation B from Equation A?
Choose 1 answer:

(Choice A)
A
Add/subtract a quantity to/from only one side

(Choice B)
B
Add/subtract the same quantity to/from both sides

(Choice C)
C
Multiply/divide only one side by a non-zero constant

(Choice D)
D
Multiply/divide both sides by the same non-zero constant
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Answer:

answer is d

Step-by-step explanation:

Answer:

A AND B

Step-by-step explanation:

They both have the same solution

The ratio of girls to boys in Liza’s classroom is 5 to 4How many girls are in her classroom if there is a total of 27
students?

1. 12
2. 9
3. 54
4. 15

Answers

The answer is 15. There are more girls than boys. 27 divided by 2 is 13.5. As the ratio is 5:4 the number of girls must be higher than 13.5, which cancels out 12 and 9. 54 is too great so the answer is 15.

Answer:

2.9

Step-by-step explanation:

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