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AlladinOne [14]
3 years ago
9

P=$4000.00,A=$5300.00,t=5 years

Mathematics
1 answer:
defon3 years ago
3 0

Answer:

The rate of Simple Interest is 6.5 %  

Step-by-step explanation:

Given as :

Principal = $ 4000.00

Amount = $ 5300.00

The time period of loan = 5 years

Let The rate of simple interest = R

Now,

From Simple Interest method

Simple Interest = \frac{Principal\times Rate\times Time}{100}

 And , Simple Interest = Amount - Principal

  So ,  Simple Interest = $ 5300.00 - $ 4000.00

  Or,   Simple Interest = $ 1300

Now, Simple Interest = \frac{Principal\times Rate\times Time}{100}  

So,     $ 1300  = \frac{ 4000\times Rate\times 5}{100}  

Or,     $ 1300 × 100 = $ 4000 × Rate × 5

Or,     Rate  =  \frac{1300\times 100}{4000\times 5}

Or,     Rate  = 6.5  

Hence The rate of Simple Interest is 6.5 %   Answer

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Gcf of -15xyz, -55xy²,- 55yz
GalinKa [24]

Answer:

-5y

Step-by-step explanation:

15 = 3×5

55 = 5×11

-15xyz = -1 × 3 × 5 × x × y × z

-55xy² = -1 × 5 × 11 × x × y²

-55yz = -1 × 5 × 11 × y × z

HCF = multiply all common factors with the lowest power amongst all 3 expressions

HCF = -1 × 5 × y = -5y

3 0
1 year ago
Closed circle on 2 to closed circle on 6
Stella [2.4K]

Answer:

see the explanation

Step-by-step explanation:

we have

closed circle on 2 to closed circle on 6

That means -----> All real numbers greater than or equal to 2 and less than or equal to 6

In interval notation is ------> [2,6]

In set builder notation is ----> { x ∈ R | x ≥ 2 and x ≤ 6 }

7 0
3 years ago
If g(x)=3x-1 and if g(a)=7 what is the value of a?
Ierofanga [76]

Answer:

a = 8/3

Step-by-step explanation:

3a - 1 would equal 7

3a = 7 + 1

3a = 8

a = 8/3

6 0
3 years ago
It’s not a question on here but I think you solve for x
Vedmedyk [2.9K]

Answer:

4.56

Step-by-step explanation:

3 0
3 years ago
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2617 and standard deviation
Eduardwww [97]

Answer:

a) N(2617, 586)

b) 0.3613 = 36.13% probability that the customer consumes less than 2409 calories.

c) 0.4013 = 40.13% of the customers consume over 2764 calories

d) 3981 calories.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 2617, \sigma = 586

a. What is the distribution of X?

Here we first place the mean, then the standard deviation.

N(2617, 586)

b. Find the probability that the customer consumes less than 2409 calories.

This is the pvalue of Z when X = 2409. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2409 - 2617}{586}

Z = -0.355

Z = -0.355 has a pvalue of 0.3613

0.3613 = 36.13% probability that the customer consumes less than 2409 calories.

c. What proportion of the customers consume over 2764 calories?

This is 1 subtracted by the pvalue of Z when X = 2764. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2764 - 2617}{586}

Z = 0.25

Z = 0.25 has a pvalue of 0.5987

1 - 0.5987 = 0.4013

0.4013 = 40.13% of the customers consume over 2764 calories

d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?

Top 1%, so the 100-1 = 99th percentile.

The 99th percentile is the value of X when Z has a pvalue of 0.99. So it is X when Z = 2.327. So

Z = \frac{X - \mu}{\sigma}

2.327 = \frac{X - 2617}{586}

X - 2617 = 2.327*586

X = 3980.6

Rounding to the nearest calorie, 3981 calories.

7 0
3 years ago
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