1.2*10to the fifth+ 5.35*10to the sixth

Julio wanted to borrow $2400 from his parents to buy a scooter. His parents told him they would loan him the money for only 3% s

velikii [3]

$2700 is the answer

4 0

3 years ago

In a certain year, the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell

satela [25.4K]

Using decimal multipliers, it is found that the value of x is of 16.67.

<h3>What is a decimal multiplier?</h3>

Increases of a% or decreases of a% re represented by decimal values, as follows:

The equivalent multiplier for an increase of a% is given by: $\frac{100 + a}{100}$

The equivalent multiplier for an decrease of a% is given by: $\frac{100 - a}{100}$

In this problem:

The price at the beginning of January was of a.

Increase of 20% in January, hence $1.2a$ .

Decrease of 20% in February, hence $1.2(0.8)a$ .

Increase of 25% in March, hence $1.2(0.8)(1.25)a$ .

Decrease of x% in April, hence $1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:

$a =1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

$1.2\left(\frac{100 - x}{100}\right) = 1$

$\left(\frac{100 - x}{100}\right) = \frac{1}{1.2}$

$\frac{100 - x}{100} = 0.8333$

$100 - x = 83.33$

$x = 16.67$

The value of x is of 16.67.

To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336

6 0

3 years ago

Write a linear equation with slope -1 and y intercept of 3

MatroZZZ [7]

Answer:

y = -x +3

Step-by-step explanation:

Think about the Y= mx + b

m = -1 so it's -x

b = 3, so it's +3

y intercept goes after the slope:

Y= Mx + B

Y = -x + 3

If you have any more questions that are math related (algebra 1 and geometry, please let me know and don't forget to click that friend button! Let me know if you have any more questions!

4 0

3 years ago

What is 15% of 375?

lesya [120]

15% * 375 = 0.15*375 = 15*375/100=56.25

6 0

4 years ago

Read 2 more answers

Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

Step-by-step explanation:

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

Step-by-step explanation:

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Answer: No Solution

Step-by-step explanation:

$9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$

6 0

3 years ago