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3 years ago

Find the sum. (1/5x-5)+(2/5x-6)=

Mathematics

1 answer:

valkas [14]3 years ago

8 0

Answer:

$\frac{3}{5}x-11$

Step-by-step explanation:

$(\frac{1}{5}x-5)+(\frac{2}{5} x-6)$

$=\frac{1}{5}x-5+\frac{2}{5} x-6$

$=\frac{3}{5}x-11$

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Autumn measures the angle of elevation from the ground to the top of an 18-foottall tree as 27°. To the nearest tenth of a foot,

cricket20 [7]

Answer:

35.3 ft (nearest tenth)

Step-by-step explanation:

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3 0

3 years ago

21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays

Iteru [2.4K]

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

The interest earned after one year is 0.018·x

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

$\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}$

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

$\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}$

Plugging in the values gives;

$\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x$

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

$\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}$

Which gives;

$\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x$

Interest earned by investing in the savings account for one year, I = 0.018·x

The polynomial representing the interest earned is I = 0.018·x

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2 years ago

How do you factor an expression

Gnoma [55]

Each term of 10x + 5 has 5 as a factor, and 10x + 5 = 5(2x + 1). To factor an expression by removing common factors proceed as in example 1. 3x is the greatest common factor of all three terms. Next look for factors that are common to all terms, and search out the greatest of these.

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3 years ago

What is the difference of 1,289 and 943?

ololo11 [35]

1289 -
943

First last number should be subtracted.
9 - 3 = 6

The second last
8 - 4 = 4

Then first number
2-9 = ?
Since it can't be divided, we have to borrow 10 from the previous number.
12-9 = 3

So the answer is,
346

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3 years ago

A triangle with vertices at A(0,0),B(0,4),and C(6,0) is dilated to yield a triangle with vertices at A'(0,0),B'(0,10), and C'(15

kakasveta [241]

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3 years ago

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