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aleksandrvk [35]
3 years ago
14

Fatima opens an account with 1300 that earns 3.5% interest, compounded monthly. How long will it take the account value to be $2

500?
Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

The formula to calculate the account value in future (compounded monthly):

A = Principal x (1 + rate/12)^(month)

=> 2500 = 1300 x (1 + (3.5/100)/12)^(month)

=> (1 + 0.00291)^(month) = 2500/1300

=> 1.00291^(month) = 1.923

=> month = log(1.923)/log(1.00291) = 225

=> It will take 225 months to have 2500 dollar in account.

Hope this helps!

:)

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Find the greatest common factor 7x^3a+7x^2a^2
muminat

Answer:

7x^2a

Step-by-step explanation:

7x^3a+7x^2a^2

7x^3a = 7 xxxa

7x^2a^2= 7 xxaa

The common terms are 7xxa

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This is the greatest common factor

6 0
3 years ago
Suppose that in a random selection of 100 colored​ candies, 26​% of them are blue. The candy company claims that the percentage
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Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

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6 0
3 years ago
It takes a boat going upstream 5 hours to cover the same distance, as it would cover in 3 hours going downstream. What is the sp
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8 0
3 years ago
Exhibit B: A restaurant has tracked the number of meals served at lunch over the last four weeks. The data shows little in terms
Mekhanik [1.2K]

Answer:

Option E is correct.

The expected number of meals expected to be served on Wednesday in week 5 = 74.2

Step-by-step Explanation:

We will use the data from the four weeks to obtain the fraction of total days that number of meals served at lunch on a Wednesday take and then subsequently check the expected number of meals served at lunch the next Wednesday.

Week

Day 1 2 3 4 | Total

Sunday 40 35 39 43 | 157

Monday 54 55 51 59 | 219

Tuesday 61 60 65 64 | 250

Wednesday 72 77 78 69 | 296

Thursday 89 80 81 79 | 329

Friday 91 90 99 95 | 375

Saturday 80 82 81 83 | 326

Total number of meals served at lunch over the 4 weeks = (157+219+250+296+329+375+326) = 1952

Total number of meals served at lunch on Wednesdays over the 4 weeks = 296

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Total number of meals expected to be served in week 5 = 490

Number of meals expected to be served on Wednesday in week 5 = 0.1516393443 × 490 = 74.3

Checking the options,

74.3 ≈ 74.2

Hence, the expected number of meals expected to be served on Wednesday in week 5 = 74.2

Hope this Helps!!!

8 0
2 years ago
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