What is 7 times 8

What is Y=2000(1.25)^12

djverab [1.8K]

Answer:

y+29103.83045673370361328125

5 0

1 year ago

Evaluate the summation of 3 n plus 2, from n equals 1 to 14. 39 49 340 343.

lord [1]

The summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

<h3>How to find the sum of consecutive integers?</h3>

$1 + 2 + 3 + ... + n = \dfrac{n(n+1)}{2}$

<h3>
What are the properties of summation?</h3>

$\sum_{i=r}^s (a \times f(i) + b) = a \times [\: \sum_{i=r}^s f(i)] + (s-r)b$

where a, b, r, and s are constants, f(i) is function of i, i ranging from r to s (integral assuming).

For the given case, the considered summation can be written symbolically as:

$\sum_{n=1}^{14} (3n + 2)$

It is evaluated as;

$\sum_{n=1}^{14} (3n + 2) = 3 \times [ \: \sum_{n=1}^{14} n ] + \sum_{n=1}^{14} 2\\\\\sum_{n=1}^{14} (3n + 2) = 3 \times \dfrac{(14)(14 + 1)}{2} + (2 + 2 + .. + 2(\text{14 times}))\\\\\sum_{n=1}^{14} (3n + 2) = 3 \times 105 + 28 = 343\\$

Thus, the summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

Learn more about summation here:

brainly.com/question/14322177

5 0

3 years ago

jesse has 3 more than twice the number of video games than his brother has. which expression could be used to represent this amo

scZoUnD [109]

3 plus 2x. you add three to the amount of brother man times 2

4 0

3 years ago

PICTURES INCLUDED HELP NEEDED ASAP

hammer [34]

The perpendicular distance from Frank to the height of statue of Liberty is 306-5.5 = 300.5 ft .

And frank stand 400 feet away from the base of the statue , so base=400 feet

Since tangent function establish relationship between height and base, so we use tanhere.

$tan \ x = \frac{300.5}{400} => x = 36.9 degree$

So the correct option is the first option .

5 0

3 years ago

What number is 76.8% of 42.5

Law Incorporation [45]

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 42.5 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 42.5 is 100%, so we can write it down as 42.5=100%. 
4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. 
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 76.8% of 42.5

42.5/x=100/76.8
(42.5/x)*x=(100/76.8)*x - we multiply both sides of the equation by x
42.5=1.30208333333*x - we divide both sides of the equation by (1.30208333333) to get x
42.5/1.30208333333=x 
32.64=x 
x=32.64

now we have: 
76.8% of 42.5=32.64

6 0

4 years ago