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3 years ago

Evaluate |-10| - |-8|

Mathematics

2 answers:

nlexa [21]3 years ago

7 0

Answer:2

Step-by-step explanation:

the bars make the integers absolute value so it would be 10-8 when you drop the bars making the answer 2

wariber [46]3 years ago

3 0

The absolute value of any number is positive. Absolute 10 minus absolute 8 is 2

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The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest interest

Westkost [7]

Answer:

Interest rate = 2.41%

Step-by-step explanation:

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.

The formula to calculate the Interest rate for a Compound Interest is given as:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 12 × [(305.33/240.00)^1/(12)(10) - 1]

r = 0.0240996

Then convert r to R as a percentage

R = r * 100

R = 0.0240996 * 100

R = 2.41%/year

Therefore, the Interest rate = 2.41%

3 0

3 years ago

110 freshmen participated in sports or clubs or both. 55 are involved in sports and 68 are involved in clubs. How many students

Varvara68 [4.7K]

Answer: 42

Step-by-step explanation:

Let A represents the number of freshmen participated in sports and B represents the number of freshmen participated in clubs.

Then , we have given that

$n(A)=55\\\\n(B)=68\\\\n(A\cup B)=110$

Using formula

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

We have,

$110=55+68-n(A\cap B)\\\\\Rightarrow\ n(A\cap B)=123-110=13$

Now, the number of students are involved in just sports is given by :-

$n(A)-n(A\cap B)=55-13=42$

Hence, 42 students are involved in just sports.

7 0

3 years ago

Need help with this problem its really complicated for me

ddd [48]

You can write a proportion because the two triangles are similar

$\frac{x}{x-2}$ = $\frac{x + x + 5}{x + 1 + x - 2}$ (the second fraction is longer because I added the full lengths of the larger triangle) cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)

which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)

then 2x² - x = 2x² + 5x -4x - 10

then 2x² - x = 2x² + x - 10

then 2x² = 2x² + 2x - 10

subtract 2x² from both sides to get 0 = 2x - 10

add 10 to both sides to get 10 = 2x

divide both sides by 2 to get 5 = x

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4 years ago

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Citrus2011 [14]

Answer:cdcdhfhhfhfhrhrhjrrjFtc h HD HD ( fxyfjtjtt

Step-by-step explanation:

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4 years ago

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poizon [28]

Answer:

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Step-by-step explanation:

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3 years ago

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