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ss7ja [257]
3 years ago
12

Collin's retirement party costs $4 for every guest he invites. What is the maximum number of guests there can be if Collin can a

fford to spend a total of $24 on his retirement party
Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Answer:

Collin can invite maximum 6 guest to his retirement party.

Step-by-step explanation:

Total cost of retirement party = $24

Cost to be spend on each guest = $4

Number of guests to be invited in the retirement party= x

x\times \$4=\$24

x=\frac{\$24}{\$4}

x = 6

Collin can invite maximum 6 guest to his retirement party.

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4 0
3 years ago
A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred
Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest:  Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P.  Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

                   ln 3

ln (1 + r) = ---------------

                    100

              = 1.0986 / 100 = 0.01986

We must solve this for r.  Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today.  Use the same equation:  A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

or

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0
3 years ago
Rick deposits $1,000 into an investment account which earns 4% annually. Sally loans $1,000 to a friend, and the friend agrees t
faltersainse [42]

the amount of money rick earned can be solve using the formula:

F = P (1+ i)^n

Where F is the future money

P is the initial money

i is the interest rate

n is the time

F = 1000 ( 1 + 0.04)^10

F = $ 1,480.24

Sally

F = 1000 + (50)(10)

F = $ 1500

So the answer is D

6 0
3 years ago
Read 2 more answers
MODELING REAL LIFE A baseball is thrown up in the air. The table shows the heights $y$ (in feet) of the baseball after $x$ secon
nikklg [1K]

The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;

  • y(x) = - 16x² + 36x + 4
  • Height at x = 1.7 = 18.89 feets

<u>The table given</u> :

Time, x : __0.5 ___ 1 ____ 1.5 ____ 2

Height, y _ 18 ____22 ___ 24 ____ 12

<u>Using </u><u>technology</u><u> such as a </u><u>quadratic regression</u><u> calculator or </u><u>excel</u> ;

The quadratic regression model obtained is :

  • y(x) = - 16x² + 36x + 4

<u>The </u><u>height after, 1.7 seconds</u><u>, x = 1.7 can be calculated thus</u> :

Put x = 1.7 in the equation :

  • y(1.7) = - 16(1.7)² + 36(1.7) + 4
  • y = 18.89 feets

Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.

Learn more : brainly.com/question/22939512

5 0
2 years ago
Help me with this equation please thanks.
AnnyKZ [126]

Step-by-step explanation:

measure of the numbered angle : 24

5 0
2 years ago
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