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2 years ago

What is the range of values for the measurements 500 +/- 4%

Mathematics

1 answer:

Kryger [21]2 years ago

8 0

Answer:

To be able to determine the unknown range of the number with tolerance given, first we need to determine the 4% of 500. This can be done by multiplying 500 by the decimal equivalent of 4% which is equal to 0.04.

tolerance = (500) x (0.04) = 20

Lower limit: The lower limit is determined by subtracting 20 from 500.

Lower limit = 500 - 20 = 480

Upper limit: The upper limit is determined by adding 20 to the base value 500.

Upper limit = 500 + 20 = 520

The values, therefore, rang from 480 to 500.

<em>ANSWER: 480 - 520</em>

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Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul p

babymother [125]

Answer:

The answer is "option b"

Step-by-step explanation:

Amount = $26,900

r= 0.0818 %

$i=\frac{r}{4}\\\\$

$=\frac{0.0818}{4}\\\\=0.02045$

t= 8 years

$n= 8 \times 4$

$=32$

$D=\frac{1-(1+i)^{-n}}{i}\\$

$=\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858$

$Q= \frac{Amount}{Discount \ factor }\\$

$=\frac{26900}{23.3155858} \\\\=1153.73468$

Payment $=1153.73468 \times 32\\\\$

$= \$ 36919.5098\\$

$\text{Total interest = Payment - amount}$

$= \$ 36919.5098 - \$ 26900 \\\\ = \$ 10019.5098$

$\text{Finance charge = Total interest + service charge}$

$= \$ 10019.5098 + \$ 1527\\\\ = \$ 11546.5098$

3 0

3 years ago

Finf the exact value of sin A and cos A where a = 9 and b = 10 and <c is a right angle

Katyanochek1 [597]

To solve for the longest side, the hypotenuse, you have to use the pythagorean theorem. It will be 10^2 + 9^2 = c^2. 100 + 81 =c^2.
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)

8 0

2 years ago

Read 2 more answers

If four times the sum of a number and 3 is divided by 2, the quotient is 0: find the number

AveGali [126]

The other number is -3.

Step-by-step explanation:

Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows

The quotient of $\frac{4(x+3)}{2}$ is 0. So $\frac{4(x+3)}{2}$ = 0.