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ivolga24 [154]
3 years ago
12

Sam inherits $250,000, which he invests at a rate of 9% compounded annually. How much will Sam's investment be worth in 25 years

?
Mathematics
1 answer:
Murljashka [212]3 years ago
7 0

Answer:

the amount that should be worth in 25 years is $2,155,770

Step-by-step explanation:

The computation of the amount that should be worth in 25 years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years  

= $250,000 × (1 + 0.09)^25

= $250,000 × 1.09^25

= $2,155,770

Hence, the amount that should be worth in 25 years is $2,155,770

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a football team gains 8 yards in one play, loses 5 yards in the next. What is the teams total yardage for the two plays
Ann [662]
The team gained a total of 3 yards.  That is because they first gained 8 (0 + 8), then lost 3 (8 - 3).
6 0
3 years ago
Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 2
musickatia [10]

Answer:

Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

Step-by-step explanation:

Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:

100 - 28 = 72

8,600 x 0.72 = X

6.192 = X

Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

5 0
3 years ago
Quit Smoking: The New England Journal of Medicine published the results of a double-blind, placebo-controlled experiment to stud
Juliette [100K]

Answer:

Option A is correct.

In this experiment the nicotine treatment had a higher success rate than the placebo group, but the improvement was less than 1%. It was exactly 0.8%

Step-by-step explanation:

In a drug treatment experiment, there are usually two groups.

- The treatment group; they get the full dosage and content of the drug to be tested.

- The placebo group; here, they sort of serve as the control group. They get the dosage of the drug to be tested with the active ingredient of the drug removed.

Double blind means that both the participants and the conductors do not know which members belong to which treatment group. It is used to increase the randomness of the sampling technique.

For this experiment, nicotine patches, antidepressants and bupropion are used to help people quit smoking.

It is explained that the the rate at which the participants quit smoking is recorded and at the end, a sample mean is obtained.

The difference in sample means of both groups is then obtained by solving

(Rate of quit smoking for the treatment group) - (Rate of quit smoking for the placebo group)

This difference was obtained to be positive 0.8%. It is evident that this figure represents a higher success rate for the treatment group than the placebo group, but the improvement was less than 1%. (0.8%).

All the other options are either incorrect or not clearly stated in the description ofthe experiment.

- In this experiment, the placebo group had a higher success rate than the nicotine group by 0.8%.

This is obviously not true, it is the reverse of the true statement.

- Nicotine patches will produce a slightly higher success rate when compared to a placebo, but the difference is not statistically significant.

This started with a true statement bit it ended with a statement we cannot confirm because we don't know the sample size for either of the groups involved in the experiment. So, it isn't totally true.

- Nicotine patches and the antidepressant bupropion work equally well on "quit smoking" rates.

They don't have an equal rate of working. The nicotine slightly works better as stated in the question.

Hope this Helps!!!

5 0
3 years ago
Write eighteen hundredths as a decimal.
arsen [322]
If you write eighteen hundredths as a decimal it will be .18
7 0
3 years ago
Find the smallest number which when divided by 12,15,18&27 leaves as remainder 8,11,14,23 respectively.
Free_Kalibri [48]

Answer:

\boxed{ \bold{ \huge{  \boxed{ \sf{536}}}}}

Step-by-step explanation:

Solution :

Here, 12 - 8 = 4

15 - 11 = 4

18 - 14 = 4

27 - 23 = 4

Thus, every divisor is greater than its remainder by 4. So, the required smallest number is the difference of the L.C.M of the given number and 4

<u>Finding </u><u>the</u><u> </u><u>L.C</u><u>.</u><u>M</u>

First of find the prime factors of each numbers

12 = 2 × 2 × 3

15 = 3 × 5

18 = 3 × 3 × 3

27 = 3 × 3 × 3

Take out the common prime factors : 3 , 3 and 3

Also take out the other remaining prime factors : 2 , 2 and 5

Now, Multiply those all prime factors and obtain L.C.M

L.C.M = Common factors × Remaining factors

= 3 × 3 × 3 × 2 × 2 × 5

= 540

L.C.M of 12 , 15 , 18 and 27 = 540

So, The required smallest number = 540 - 4

= 536

Hope I helped!

Best regards!!

3 0
3 years ago
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