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inessss [21]
4 years ago
13

casey invested $1,225 in a certain bond that pays 19% interest compounded annually. How long will it take for Brad’s investment

to triple ? Explain step by step.
Mathematics
1 answer:
AleksandrR [38]4 years ago
8 0

Answer:

6.32 years

Step-by-step explanation:

To get the time taken to triple the amount invested, we must first establish the compound interest formula. When a principal amount P is invested for a time n at a rate r percent, the amount A after n years may be expressed as

A = P (1 + r)^n

Hence if $1,225 is to triple, the amount will be

= $1,225 *3

= $3,675

The time n for this to happen may be computed through the equation

$3,675 = $1,225 ( 1 + 0.19)^n

3 = 1.19^n

take the log of both sides

log 3 = log 1.19^n

using the law of logarithms that log a^b = b log a

n log 1.19 = log 3

n = log 3 / log 1.19

n = 6.32 years

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Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walk
tino4ka555 [31]

Answer:

total amount donated when aaron walks n miles = $2 + $3(n-1)

Step-by-step explanation:

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.

total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)

when Aaron walks 8 miles

additional miles = 8 - 1 = 7

23 = 2 + 7x

23 - 2 = 7x

x = 3

additional amount paid is $3

total amount donated when aaron walks n miles = $2 + $3(n-1)

5 0
3 years ago
Can someone answer this???
katovenus [111]
3 weeks and 35 dollars
6 0
3 years ago
Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of
Aleks [24]
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
</span></span></span></span>
<span>Cone Volume = (3.14 * 1.5^2 * 4.5) / 3

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5 0
3 years ago
Read 2 more answers
A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. I
victus00 [196]

1) In this study, the control group is the first group of 310 subjects that were instructed to take only 600 mg daily of vitamin C. (Option C; that is, group 1).

2) The study is not Blind (Option C).

In an experimental setup to test a theory, A control group is the set of experimental participants that the theory to be tested isn't applied upon.

In the case of testing a new treatment, the control group is the group that the new treatment isn't administered.

For this question, the experiment was set up to test the effectiveness of a combination of vitamin A and vitamin E in treating flu cases rather than using vitamin C alone. Group A is the only group that only the old treatment alone is applied to; group 1 participants received no dosage of the new combination of treatments to be tested involving vitamins A and E, unlike the two other groups.

It is obvious now why the experimental participants of group 1 are the control group.

2) A blind experiment/study is one in which the participants don't know which group they belong to, whether they are in the control group or the other experimental group. Like in this case, if this was a blind study, the participants wouldn't know which group they belonged to or which treatment is administered to them.

A double-blind experiment/study is one in which both the conductors of the experiment and the participants in the experiment wouldn't know which group any participant is in. The conductors wouldn't know which participants were in the control or treatment group and the participants too wouldn't have an idea whether they are in the control or treatment group.

To learn more about the vitamin visit: brainly.com/question/24324739

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3 0
1 year ago
E If M P = Rs 420,SP. 405 then<br>find discount​
Leni [432]

Answer:

discount=MP-SP

=Rs420-Rs405

=Rs15

Step-by-step explanation:

6 0
3 years ago
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