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4 years ago

50-(14+12+2(5)+2(2)+3=

Mathematics

1 answer:

valentina_108 [34]4 years ago

5 0

Step-by-step explanation:

$50-14+12+2(5)+2(2)+3 \\ 50 - 2 + 10 + 4 + 3 \\ 67 - 2 = 65$

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $6750 and her st

pantera1 [17]

Answer:

3.5%

Step-by-step explanation:

1. calculate starting total

$6750 + 4210=10960$

starting amount = $10,960

2. calculate stock A2's value

decreased by 18%

to make the percentage usable in this equation we need to divide it by 100 to get it in decimal form. ⇒ $\frac{18}{100} = 0.18$

multiply stock A1 by perctage decimal to get the amount decreased

$6750(0.18)=1215$ ($1,215)

subtract stock A1 by decreased amount to get stock A2's value

$6750-1215=5535$

A2 = $5,535

3. calculate stock B2's value

increased by 20%

to make the percentage usable in this equation we need to divide it by 100 to get it in decimal form. ⇒ $\frac{20}{100} = 0.20$

multiply stock B1 by perctage decimal to get the amount increased

$4210(0.20)=842$ ($842)

add stock B1 with increased amount to get stock B2's value

$4210+842=5052$

B2 = $5,052

4. get new amount of account

$5052+5535=10587$

new amount = $10,587

5. find percentage decrease of starting amount to new amount

divide starting amount by the new amount

$\frac{10960}{10587} = 1.03523188816$

then subtract by 1

$1.03523188816-1 =0.03523188816$

multiply by 100 to convert to percentage form

$0.03523188816(100) =3.523188816$

and round to <u>nearest tenth</u>

answer is ≈ 3.5%

::: (\_(\ Hope

*: (=' :') this

•.. (,('')('') helped :)

4 0

2 years ago

Write each sum using summation notation.<br> 1+ 2 + 3 + 4 + ⋯ + 1000

AVprozaik [17]

Answer:

$\sum_{k=1}^{1000} k$

Step-by-step explanation:

You have to use the summation notation formula:

$\sum_{k}^{n} f(k) = f(1) + f(2) +...+f(n)$

where k is the starting number, n is the ending number and f(k) is the function or the expression to be added.

In this case, you have the sum of the integer numbers from 1 to 1000. Therefore, k=1 and n=1000.

Now, you have to obtain the function f(k) which is the representation of the expression needed to obtain the correct result of the sum.

f(k=1) = 1

f(k=2)=2

f(k=3)=3 ...

You can notice that the value of k corresponds to te value of f(k) therefore f(k) = k

Replacing the values of k, n and f(k) in the formula:

$\sum_{k=1}^{1000} k = 1+2+3+4+...+1000$

7 0

4 years ago

What is 11.625 rounded to the nearest whole number

Andru [333]

Answer:

your answer is 12

Step-by-step explanation:

have a great day! :)

8 0

3 years ago

The integral of x(6x+7)^8

prisoha [69]

Hello,

Let's assume t=6x+7
x=(t-7)/6
dt=6dx

$\int\limits{x(6x+7)^8} \, dx = \int\limits { \dfrac{t-7}{6} t^8} \, \dfrac{dt}{6} \\

= \dfrac{1}{36} \int\limits{ (t^{9}-7t^8) \, dt = \dfrac{1}{36} ( \dfrac{t^{10}}{10}- \dfrac{7t^9}{9} )+C\\

= \dfrac{(6x+7)^9*(54x-7)}{3240} +C$

8 0

3 years ago

X=-2 or ×=-8 in factored form<br>

Katen [24]

Answer:

Step-by-step explanation:

3 0

3 years ago