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nignag [31]
3 years ago
7

The formula for finding the interest on a loan is I = prt. Becky borrows $4,500 for 6 years at a rate of 6 1/2%. How much intere

st will she owe?
Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0
For this case we must use the following equation:
 I = prt
 Where,
 p: principal
 r: derivation of rate
 t: time
 Substituting values we have:
 I = 4500 * (0.065) * 6
 I = $ 1755
 Answer:
 
she will owe
 
I = $ 1755
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The mean score of 8 players is 14.5. If the highest individual score is removed the mean of the score of the remaining 7 players
AfilCa [17]

Answer:

The highest score is 32.

Step-by-step explanation:

We are given the following in the question:

The mean score of 8 players is 14.5.

Let x denote the highest score.

If x is removed, the mean of the score of the remaining 7 players is 12.

Formula for mean:

\bar{x} = \dfrac{\displaystyle\sum x_i}{n}

Putting values, we get:

14.5 = \dfrac{\displaystyle\sum x_i}{8}\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = \dfrac{\displaystyle\sum y_i}{7}\\\\\Rightarrow \displaystyle\sum y_i  = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32

Thus, the highest score is 32.

4 0
3 years ago
Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13
Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: P(t)=P_i(1+r)^t

where P(t) is the population at time "t",

P_i is the initial (starting) population

(1+r) is the common ratio,

and r is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and  initial population), and solve for the unknown common ratio and its related rate of growth:

P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

1+r=1.155273\\r=1.155273-1=0.155273

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0
3 years ago
Please help me out answer quick
drek231 [11]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Please tell me the answer.. it will mean and help me a lot and give you more points :)
vovikov84 [41]

Step-by-step explanation:

12500 divided by 0.26= liters

5 0
3 years ago
Refer to the technology output given to the right that results from measured hemoglobin levels (g/dL) in 100 randomly selected a
charle [14.2K]

Answer:

Step-by-step explanation:

a)

Confidence interval in less than symbol expressed as

\bar{x} - E < \mu < \bar{x} + E&#10;

Where \bar{x} is sample mean and  E is margin of error.

13.03 < \mu 13.42&#10;

b)

The given t interval is (13.032 , 13.418 )&#10;

That is \bar{x} - E = 13.032 and \bar{x} + E = 13.418

Solve these two equation by adding together.

2 \bar{x} = 13.032 + 13.418&#10;\\\\\bar{x} = 13.225

Solve this value of \bar{x} in equation \bar{x} - E = 13.032 and solve for E

13.225 - E = 13.032&#10;\\\\E = 0.193&#10;

Best point estimate of \mu = \bar{x} = 13.225&#10;

Best point estimate of margin of error = 0.193

c)

Since sample size = 100 which is sufficiently large (Greater than 30) , it is no need to confirm that

sample data appear to be form a population with normal distribution.

8 0
3 years ago
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