At the end of 28 years, there will be 22,083.2 dollars in the account.
Step-by-step explanation:
Step 1; First we must calculate how much interest there is in total over 28 years. The annual interest rate is 8.25% i.e. 8.25% of 6,700 dollars which equals 552.75 dollars. As the years' pass, more and more will be put into the account due to interest. After 28 years, there will be an interest of 229.6% (8.25% per year * 28 years)of the initial amount.
Step 2; We must find the money due to interest and add it with the money that was put in initially. The interest amount is 2.296 times the 6,700 dollars which was put in. The interest equals 15,383.2 dollars. With this, the initial 6,700 dollars is added which comes to a total of 22,083.2 dollars
Answer:
The answer is 
.
Step-by-step explanation:
Given:
X/4 + 3/5x.
Now, to find the sum of the rational expressions.
So, to solve it by adding:
Therefore, the answer is .
In order to round a number to the nearest thousandths, we have to check the number in the ten thousandths place:
1- If the number in the ten thousandths is less than 5, then the thousandths number will remain the same and all numbers after it will be converted to zeroes.
2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.
Applying this to the given number:
<span>1.80431
</span>The number in the ten thousandths position is 3 which is less than 5.
Therefore, rounding <span>1.80431 to the nearest thousandths will be:
</span>1.80400 which is equivalent to 1.804
Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
Let
be the random variable for the weight of any given can, and let
and
be the mean and standard deviation, respectively, for the distribution of
.
You have
Recall that for any normal distribution, approximately 99.7% of it lies within three standard deviations of the mean, i.e.
. This means 0.3% must lie outside this range,
. Because the distribution is symmetric, it follows that
.
Also recall that for any normal distribution, about 95% of it falls within two standard deviations of the mean, so
, which means 5% falls outside, and by symmetry,
.
Together this means
Solving for the mean and standard deviation gives
and
.
