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Neko [114]
3 years ago
15

Gabe deposits $2,500 into each of two savings accounts.

Mathematics
2 answers:
sladkih [1.3K]3 years ago
3 0

Answer:

637.5 I think it's right

Step-by-step explanation:

2,500x.04=100x3=300

2,500x.045=112.5x3=337.5

300+337.5=637.5 interest

2,500x2+637.5=5,637.5

inysia [295]3 years ago
3 0

Answer:

$5,612.16

Step-by-step explanation:

Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to A = P (1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have:

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

substitute in the formula above

A = 2,500 (1 + 0.04 * 3)

A = 2,500 (1.12)

A = $2,800

Part 2) Account II earns 4% interest compounded annually.

we know that    

The compound interest formula is equal to: A = P (1 + r/n)nt

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

n = 1

substitute in the formula above  

A = 2,500 * (1 + 0.04/1)3

A = 2,500 * (1.04)3

A = $2,812.16

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment:

$2,800 + $2,812.16 = $5,612.16

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A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 6.5 i
zavuch27 [327]

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

Learn more about probability at brainly.com/question/24756209

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5 0
2 years ago
A club consists of 21 Republicans and 25 Democrats. If four people are chosen at random to be on a​ committee, what is the proba
Allushta [10]

Answer:

88.58% probability that at least one person from each political party will be​ chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Also, the order which the people are chosen is not important. So the combinations formula is used to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

If four people are chosen at random to be on a​ committee, what is the probability that at least one person from each political party will be​ chosen?

Either only Republicans or Democrats are chosen, or at least one member from each party is chosen. The sum of these probabilities is 100%.

The easier way to solve this is first finding the probability that members are only from one party.

Probability of having members from only one party:

Desired outcomes:

Only Democrats:

4 from a set of 25.

Only Republican:

4 from a set of 21.

So

D = C_{25,4} + C_{21,4} = \frac{25!}{4!21!} + \frac{21!}{4!17!} = 18635

Total outcomes:

4 from 21+25 = 46 total members

T = C_{46,4} = \frac{46!}{4!42!} = 163185

Probability:

p = \frac{D}{T} = \frac{18635}{163185} = 0.1142

11.42% probability of having people from only one party in the committee

Probability of at least one person from each party:

p + 11.42 = 100

p = 88.58

88.58% probability that at least one person from each political party will be​ chosen

5 0
3 years ago
If a business made $85,000 in seven months, how much money will the business make in one year?
MatroZZZ [7]
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Tju [1.3M]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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