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icang [17]
3 years ago
13

If I want to earn $100 on a 3-month CD that pays 4% annual simple interest, how much must I invest?

Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

keeping in mind that 3 months is not even a year, but since there are 12 months in a year, 3 months is really 3/12 years, therefore,


\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&100\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ 100=P\left( 0.04\cdot \frac{1}{4} \right)\implies 100=P(0.01)\implies \cfrac{100}{0.01}=P\implies 10000=P

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-5(2b + 7) + b < -b - 11
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8 0
3 years ago
How would I solve this? I do not get the problem.
Stolb23 [73]
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8 0
3 years ago
Instructions: Match each equations with correct type of event.
Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
  • \mathrm{P(A)+P(B)}\rightarrow Mutually exclusive events
  • \mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow} Conditional events
  • \mathrm{P(A) . P(B)\rightarrow} Independent Events
  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

#SPJ10

5 0
1 year ago
The vertex angle of isosceles triangle is 110 degrees. what are the measures of the base angles
dalvyx [7]

Answer:

35°

Step-by-step explanation:

The base angles of an isosceles triangle are congruent , then

base angles = \frac{180-110}{2} = \frac{70}{2} = 35°

3 0
2 years ago
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