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Maslowich
2 years ago
15

Landon is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Landon need to i

nvest, to the nearest hundred dollars, for the value of the account to reach $11,300 in 14 years?
Mathematics
2 answers:
Mazyrski [523]2 years ago
5 0

Answer:

$ 6,189.18

Step-by-step explanation:

From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.

The formula for the Principal of a compound interest that is compounded continuously is given as:

P = A / e^rt

Where

P = Principal

A = Totally Amount after time t = $11,300

r = Interest rate = 4.3 % = 0.043

t = 14 years

P = $11,300/ e ^0.043 × 14

P = $ 6,189.18

Hence, Landon needs to invest, $ 6,189.18

Nata [24]2 years ago
3 0

Answer:

6200

Step-by-step explanation:

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Which equation can be used to solve the problem?<br><br> 750 is 150 percent of what?
Juli2301 [7.4K]

150750 × 100100 = 20100 = 20%

If you are using a calculator, simply enter 150÷750×100 which will give you 20 as the answer.


5 0
3 years ago
A randomized controlled study was designed to test whether regular drinking of cranberry juice can prevent the recurrence of uri
Kamila [148]

Answer:

1. The chi-squared statistic = 10.36

The degrees of freedom = 17

The p-value for the test = 0.89

2. The range of the p-value from the Chi squared table = 0.75 < p-value < 0.90

Step-by-step explanation:

1. The Chi squared test is given as follows;

\chi ^{2} = \sum \dfrac{\left (Observed - Expected  \right )^{2}}{Expected  }

Therefore,

                              UTI   No UTI    %     Total

Cranberry juice       8           42      84     50

Lactobacillus          19          30       61     49

Control                    18          30      60    50

The chi-squared statistic is given as follows;

\chi ^{2} = \dfrac{\left (8- 18\right )^{2}}{18} +  \dfrac{\left (42 - 30\right )^{2}}{30} = 10.36

The chi-squared statistic = 10.36

The degrees of freedom, df = 18 - 1 = 17 since the all of the expected count have a minimum value of 18

With the aid of the calculator we find the p value as p as follows;

p = 0.9 - \dfrac{10.36 - 10.085}{12.972 - 10.085} \times (0.9 - 0.75)

The p-value for the test = 0.89  

2. The range of the p-value from the Chi squared table is given as follows;

0.75 < p-value < 0.90.

5 0
3 years ago
A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a radioactive substance. After 20 hours,
adell [148]

Answer:

Step-by-step explanation:

6 0
2 years ago
Answer along with how you got the answer <br> 3/8 + 1/8 + 2/8 = ?
zzz [600]

Answer:

6/8 simplified form 3/4

Step-by-step explanation:

Given: 3/8 + 1/8 + 2/8

Here we have to find the sum of the fractions.

All the fractions are like fractions.

So we can add the numerators and keep the denominator as it is. (We should not add the denominator)

Therefore,

3/8 + 1/8 + 2/8 = (3 + 1 + 2)/8

= 6/8

We can simplify this fraction by dividing both the numerator and the denominator by 2.

= 6/8

= 3/4

Hope this is will help you to understand the concept.

Thank you.

3 0
3 years ago
Brock's dog is a collie. To find the mass of his dog, should Brock use grams or kilograms
jolli1 [7]
A dog would most likely be weighed with grams.
6 0
3 years ago
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