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Tcecarenko [31]
3 years ago
7

Liu deposited $3500 into a savings account 2 years ago. The simple interest rate is 4%. How much money did Lui earn in interest?

What would the account earn in 10 years?
Mathematics
2 answers:
statuscvo [17]3 years ago
6 0

Answer:

  • 2 years: $280
  • 10 years: $1400

Step-by-step explanation:

The formula for simple interest is ...

  i = Prt

where P is the principal, r is the annual rate, and t is the number of years.

a) Filling in the given values, we find the amount of interest to be ...

  i = $3500·0.04·2 = $280 . . . . interest earned in 2 years

__

b) In 10 years, the account will earn ...

  i = $3500·0.04·10 = $1400 . . . . earnings in 10 years

Eduardwww [97]3 years ago
5 0

Answer:

5645

Step-by-step explanation:

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Show that x2 +x-3=0 has a solution between 1 and 2
Natali5045456 [20]

Answer:

here is the answer

Step-by-step explanation:

hope it is helpful

7 0
3 years ago
Discrete R.V. Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are
Tom [10]

Answer:

a) p=0.2

b) probability of passing is 0.01696

.

c) The expected value of correct questions is 1.2

Step-by-step explanation:

a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.

b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6

P(X=k) = \binom{n}{k}p^{k}(1-p)^{n-k} = \binom{6}{k}0.2^{k}(0.8)^{6-k}.

Recall that \binom{n}{k}= \frac{n!}{k!(n-k)!} In this case, the student passes if X is at least four correct questions, then

P(X\geq 4) = P(X=4)+P(X=5)+P(X=6)=\binom{6}{4}0.2^{4}(0.8)^{6-4}+\binom{6}{5}0.2^{5}(0.8)^{6-5}+\binom{6}{6}0.2^{6}(0.8)^{6-6}= 0.01696

c)The expected value of a binomial random variable with parameters n and p is E[X] = np. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 6\cdot 0.2 = 1.2

5 0
4 years ago
Some researchers claim there is an association between taking vitamins and gaining weight. They took a random sample of people l
netineya [11]

Answer:

The probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47

Step-by-step explanation:

                                       Has Gained Weight        Has Not Gained Weight

Does not take vitamins                          52                                   19

Takes one vitamin per day                    35                                   49

Takes more than one vitamin per day 72                                    80

We are supposed to find the probability that he or she has gained weight, given that he or she takes more than one vitamin per day

A= he or she has gained weight

B=he or she takes more than one vitamin per day

P(A|B)=\frac{P(A \cap B)}{P(B)}

A \cap B = 72

B = 72+80=152

So,P(A|B)=\frac{72}{152}=0.47

So, Option C is true

Hence the probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47

6 0
3 years ago
What's greater 11/16 or 0.688?
KengaRu [80]
11/16..." / " means divide....= 0.6875
0.688

when comparing, if it makes it easier, line ur decimals up and put a zero in any empty spaces...

0.6875
0.6880 (this is the same as 0.688)

so the one that is bigger is : 0.688 <==
8 0
4 years ago
Martin is considering the expressions 1/2(7x + 48) and -[1/2x - 3]+ 4(x + 5). He wants to know if one expression is greater than
pentagon [3]
Part A
 The first thing we must do for this case is to rewrite both expressions.
 We have then:
 1/2 (7x + 48) = (7/2) x + 24
 - [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
 Answer: 
 We note that the first expression is greater than the second for all values of x. 
 Part B:
 A new expression that is greater than both written expressions is:
 (7/2) x + 25
 For all values of x, this expression is always greater.
 Answer:
 (7/2) x + 25
5 0
4 years ago
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