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lana [24]
3 years ago
12

If the Laffite family deposits $8500 in savings account at 6.75% interest, compounded continuously, how much will be in the acco

unt after 25 years

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

Option b

Step-by-step explanation:

We have a compound interest problem. With an annual interest rate of 0.675 and an initial payment of 8500, with t = 25 years

Then you must use the annual compound interest formula, which is represented by a growing exponential function:

y = e ^{ht}

Where:

h is the interest rate of 0.675

y is the money in the savings account as a function of time

Then substitute the values in the formula and we have:

y = e ^{0.675(25)}

y = 45,950.57

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A bag contains purple marbles and white marbles, 68 in total. The number of purple marbles is 4 less than 5 times the number of
galina1969 [7]

Answer: 56 purple marbles.

Step-by-step explanation:

Let be "p" the number of purple marbles in the bag and "w" the number of white marbles in the bag.

You can set up the following System of equations:

\left \{ {{p+w=68} \atop {p=5w-4}} \right.

You can use the Substitution method to solve the System of equations. The steps are shown below:

1. You need to substitute the second equation into the first equation:

(5w-4)+w=68

2. Now you must solve for "w":

5w-4+w=68\\\\6w-4=68\\\\6w=68+4\\\\6w=72\\\\w=\frac{72}{6}\\\\w=12

3. Substitute the value of "w" into second original equation and then evaluate in order to find the value "p":

p=5(12)-4\\\\p=60-4\\\\p=56

3 0
3 years ago
Alcona has a radius of 5 inches and a height of 5 inches what is the volume up and come to the nearest 10 inch cube :-)
Nookie1986 [14]
Pi * 5 squared = 25 Pi
25 Pi * 5 = 125 Pi or 392.6990817
and I'm not sure how to round to inch cube sorry. :(
4 0
3 years ago
HELP ME PLZZ I NEED HELP!!!
Elina [12.6K]

Answer:

the answer is B.

Step-by-step explanation:

8 0
3 years ago
6. Leo earns $16/h as a gardener in a city
Katen [24]

a) He will earn $584 for working 36 hours.

b) He will earn $656 for working 39 hours.

c) He will earn $728 for working 42 hours.

Step-by-step explanation:

Amount per hour = $16

Time and a half means 1.5 times more than the original payment.

Therefore, above 35 hours, the earning for one hour,

Extra time per hour = 16*1.5 = $24

A) 36 h

For the first 35 hours, he will get $16 per hour, therefore,

Amount of 35 hours = 35*16= \$560

Amount of one hour = $24 (as calculated above)

Total = 560+24 = $584

He will earn $584 for working 36 hours.

B) 39 h

39 h = 35h + 4h

Amount of 35 hours = $560

Amount of extra 4 hours = $24*4 = $96

Total = 560+72 = $656

He will earn $656 for working 39 hours.

C) 42 h

42 h = 35h + 7h

Amount of 35 hours = $560

Amount of extra 7 hours = 24*7 = $168

Total = 560+168 = $728

He will earn $728 for working 42 hours.

Keywords: addition, multiplication

Learn more about addition at:

  • brainly.com/question/7888686
  • brainly.com/question/8224301

#LearnwithBrainly

7 0
4 years ago
How is net worth calculated
AysviL [449]
Net worth is what is owned minus what is owed
6 0
3 years ago
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