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lyudmila [28]
3 years ago
5

Find the inverse of f(x)=1/2x+3

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0

Answer:

f(x)=2x-6?

Step-by-step explanation:

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Write an equation for the translation of y=|x|. 2 units down.
Bezzdna [24]
B. Y = <span>|x| - 2
when moving left or right...meaning moving horizontally.......the number is added inside the parenthesis. 

This one is moving up or down ....meaning moving horizontally........so the number is added outside the parenthesis. If it moves up then add(+)..........if it moves down then subtract(-). The formula used for horizontal shifts is, y=lXl + k
.Here k will become negative or remain positive based on the given data.

Now,
It's a horizontal shift, so we can eliminate C and D.
 It moves down so we will subtract and therefore we can eliminate A

so the answer is B.
 lets check our answer by using the formula

Y = lxl + k
moves 2 units down so our k = (-2)
Y = lxl + (-2)  [substitute k]
Y = lxl - 2

</span>
6 0
3 years ago
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Emma has $100 to spend at the pet store. She needs to buy 1 bag of dog food and 2 chew toys how many catnip toys can Emma buy
Nadya [2.5K]
She will have enough for the cat and dog food.the 6 cat food bags will be $108
5 0
3 years ago
John has 6 boxes of apples each box holds 12 apples. If 4 of the boxes r full and 2 r half full how many apples does John have??
olga55 [171]
Each box holds 12 apples
He has 6 boxes : 4 are full, 2 are half full

4 with 12, 2 with half of 12 (6)

12*4 + (12/2 * 2)
48 + 6*2
48+12
60
3 0
3 years ago
From compound interest-Class 10.Suntali deposited Rs 9000 altogether in her saving account and fixed deposit account in a bank.S
Katarina [22]

Answer:

Step-by-step explanation:

Step-by-step explanation:

Year 1 - You earn interest on your Principal.

Year 2 - You earn interest on your (Principal + Interest of Year 1).

Year 3 - You earn interest on your (Principal + Interest of Year 1 + Interest of Year 2).

Compound interest is the basis of long-term growth of the stock market. It forms the basis of personal savings plans. Compound interest also affects inflation.

Types of Compound Interest

There are generally two types of compound interest used.

Periodic Compounding - Under this method, the interest rate is applied at intervals and generated. This interest is added to the principal. Periods here would mean annually, bi-annually, monthly, or weekly.

Continuous Compounding - This method uses a natural log-based formula and calculates interest at the smallest possible interval. This interest is added back to the principal. This can be equalled to the constant rate of growth for all natural growth. This figure was born out of physics. It uses Euler’s number which is a famous irrational number which is known to more than 1 trillion digits of accuracy. Euler’s number is denominated by the letter “E”.

Periodic Compound Interest Formula Overview

There are two formulas you can use to calculate compound interest, depending on what result you wish to find out. You can find out the following:

The total value of the deposit.

The total compound interest earned.

Value of the Deposit

Formulas can be a deterrent to many. If you aren’t savvy with math, your eyes turn away from these codes or just skip them altogether. But once it’s explained, it’s pretty simple to understand. To calculate the total value of your deposit, the formula is as follows:

P (1+ i/n)nt

P = Principal invested.

i = Nominal Rate of Interest.

n = Compounding Frequency or number of compounding periods in a year.

t = Time, meaning the length of time the interest is applicable, generally in years.

Simply put, you calculate the interest rate divided by the number of times in a year the compound interest is generated. For instance, if your bank compounds interest quarterly, there are 4 quarters in a year, so n = 4. This result must be multiplied to the power of the deposit period. For example, if your deposit is for 10 years, t = 10. This whole result should be multiplied by the principal you invested. The result generated will equal the total accumulated value of your deposit. You can find out how much your deposit is worth currently after accumulating interest.

Total Compound Interest Earned

To find out how much interest was earned, you can use the following formula for Compound Interest.

P[(1+ i/n))nt-1]

Compound Interest Equation and Calculation

To understand the compound interest equation further, we can break it down in simpler terms. If you decide to invest in a fixed deposit with compound interest, this is how you will earn interest every year.

Period Deposit Balance

Investment P

Year 1 P + iP

Year 2 (P+ iP) + i(P+iP)

To collapse this formula, we can pull out factors of (1+i). Simply substitute iP with (1+i) to get the following:

Period Deposit Balance

3 0
2 years ago
What is the slope of a line that passes through the points (5, 12) and (8, -1)
Pachacha [2.7K]

Answer:

m = -4.33333 or -4 and 1/3

Step-by-step explanation:

gradient = (difference in y)/(difference in X)

m = (-1-12)/(8-5)

m = -13/3

m = -4.3333333

4 0
2 years ago
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