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3 years ago

Round 748.5187 to the nearest hundredth

1 answer:

4 0

Hello,

Your answer: 748.52

Your Explanation: Find the number in the hundredth place 11 and look one place to the right for the rounding digit 88. Round up if this number is greater than or equal to 55 and round down if it is less than 55.

748.52 is your answer

Hope this helps

-HotTwizzlers

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Find the length of the third side. If necessary, round to the nearest tenth. 30 18

grigory [225]

Answer:

Step-by-step explanation:

use Pythagoras theorem

a^2 + b^2 = c^2

18^2+b^2=30^2

b^2 = 30^2 - 18^2

b = √576 =24

8 0

2 years ago

Select the common ratio and the 4th term of the geometric series: 9, -6,4...

Blababa [14]

The given geometric sequence has the common ratio, r = -2/3, and the value of the 4th term, a₄ = -8/3.

A geometric sequence is a special series where every term is the product of the previous term and a common ratio.

The first term of a geometric sequence is represented as a, the common ratio as r, and the n-th term as aₙ, which is calculated as, aₙ = a.rⁿ⁻¹.

In the question, we are asked to find the common ratio and the 4th term of the geometric sequence, 9, -6, 4, ........

The first term of the sequence, a = 9.

The second term of the sequence, a₂ = -6.

By the formula of the n-th term, aₙ = a.rⁿ⁻¹, we can show that:

a₂ = a.r²⁻¹.

Substituting the values, we get:

-6 = 9(r²⁻¹),

or, r²⁻¹ = -6/9,

or, r = -2/3.

Thus, the common ratio of the given geometric sequence is -2/3.

The 4th term can be calculated using the formula of the n-th term, aₙ = a.rⁿ⁻¹ as:

a₄ = a.r⁴⁻¹ = a.r³.

Substituting the values, we get:

a₄ = 9(-2/3)³,

or, a₄ = 9.(-8/27),

or, a₄ = -8/3.

Thus, the 4th term of the given geometric sequence is -8/3.

Learn more about a geometric sequence at

brainly.com/question/24643676

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3 0

2 years ago

Find the amount to which $2,500 will grow if interest of 6.75% is compounded quarterly for 10

andreev551 [17]

Answer:

Part a

For this case n = 4. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506$

Part b

For this case n = 365. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776$

Step-by-step explanation:

We can use the future vaue formula for compound interest given by:

$A= P(1+ \frac{r}{n})^{nt}$

Where P represent the present value, r=0.0675 , n is the number of times that the interest is compounded in a year and t the number of years.

Part a

For this case n = 4. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506$

Part b

For this case n = 365. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776$

5 0

3 years ago

3 km 2.8 km what’s the area?

melamori03 [73]

Answer: 8.4 km squared

Step-by-step explanation:

3 x 2.8 = 8.4

5 0

4 years ago

PLEASE HELP!!!!! Consider the functions f(x)=x−7 and g(x)=4x3. What is f(x)+g(x)?

Karolina [17]

Answer:

The answer is 13x-7

Step-by-step explanation:

f(x) is x-7, and g(x) is 4x3. 4x3 can also mean 12x , because 4x3 is 4*x*3. So, f(x) can be replaced with x-7, and g(x) can be replaced by 12x. (x-7)+(12x) is 13x-7.

8 0

3 years ago