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alexgriva [62]
3 years ago
13

Approximately how long would it take an investment that is compounded annually to triple at an interest rate of 6%?

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0
3p=p(1.06)^t
3=1.06^t
T=log(3)÷log(1.06)
T=18.9 years
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Molly works at an electronics store. Her last customer purchased a DVD player for $67.65 and five DVDs for $57.93, including tax
ra1l [238]
67.65 + 57.93 = 125.58

200.00 - 125.58 = $74.42 change back
3 0
2 years ago
The Print Shop provides copying services to the general public. The Print Shop has equipment which is capable of making 1,800 co
steposvetlana [31]

a) The financial analysis determining the acceptance of the special order is as follows:

Data and Financial Analysis:

Capacity of photocopier per hour = 1,800 copies

Practical capacity of equipment = 7 hours

Total copies in a day = 12,600 (1,800 x 7)

Steady demand per day = 10,000

Variable cost per copy = $0.22

Service price per copy = $0.25

Profit per copy = $0.03 ($0.25 - $0.22)

Normal profit based on steady demand of 10,000 = $300 ($0.03 x 10,000)

Profit based on maximum capacity of 12,600 = $378 ($0.03 x 12,600)

Price per copy for the special customer = $0.24

Profit per copy based on special price of $0.24 = $0.02 ($0.24 - $0.22)

Profit from special customer with 5,000 pages = $100 (5,000 x $0.02)

Profit from other probable customers = $228 (7,600 x $0.03)

Lost profit for accepting special order based on maximum capacity = $50 ($378 - $228 - $100)

Lost profit if order is <u>not accepted</u> and demand is only 10,000 copies = $78 ($378 - $300)

  • Therefore, the special order at $0.24 should be accepted.

b) The largest order from customer that the shop could accept = 5,000 + $50/$0.02

= 5,000 + 2,500

= 7,500 copies

Thus, if the customer orders 7,500 copies to be made, the shop can still realize a maximum profit of $378 by accepting orders for additional 5,100 (12,600 - $7,500) copies from others.

Learn more: brainly.com/question/22599880

7 0
2 years ago
Given that f(x) = 6x + 2 and g(x) =2x+4 over 5 solve for g(f(1))
Lady bird [3.3K]
F(1)=6(1)+2
= 6+2
=8

g(f(1))= 2x/5 +4/5
= 2(8)/5 +4/5
= 16/5 +4/5
= 20/5
=4
6 0
3 years ago
A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36
stepan [7]

Answer:

13a.\  The \ probability\ of \ scoring\ a\  goal\  in\  a\  game\  is\  0.36\\\\b. 3 \ games

14.

a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

C_g=0.15\times 600\\\\=\£90

Hence, the 15%  deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

100\%=\frac{540}{0.1}\\\\=\£5400

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

=540\times 10\\\\=\£5400

We subtract the discount amount for the per-discount price:

Cost=Total -discount\\\\=5400-540\\\\=\£4860

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)

Hence, this is impossible since 0.10<0.35

7 0
3 years ago
Will give brainliest to whoever answers both questions!! I need to turn this in soon!
Harman [31]

Answer:

y=55x

given y=385

x=gallons of gas = 385/55 = 7 gallons

inverse function

y=55x

change x to y and y to x

x=55y

y=x/55

inverse function is x/55

Step-by-step explanation:

5 0
2 years ago
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