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Varvara68 [4.7K]
3 years ago
11

One number is 3 more than 2 times the other, and their sum is 27. Find the numbers. If x represents the smaller number, then the

larger number is
Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0
I have an answer in mind, but i'm not 100% sure. I re-read the question, and I got 2x+3.
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the amount of sales at a toy store increases by 30% from May to June and decreases by 10% from June to July. The difference in t
Fittoniya [83]

Answer: $ 5,850

Step-by-step explanation:

Let the original amount in May be x , since the amount increases by 30% in June , this means that the amount in June will be 130% of x.

Amount in June = 1.3x

Also , it decreases by 10% from June to July , that is the amount in July will be 90% of 1.3x

Amount = 1.17x

The difference in the amount of sales between May and July is $7,650. That is

1.17x - x = 7650

0.17x = 7650

divide through by 0.17

x = 45,000

Therefore :

Amount in May = $45,000

Amount in June = 1.3(45,000) = $ 58,500

Amount in July = 1.17 ( 45,000 ) = $52,650

the difference in the amount of sales between June and July will be

$58,500 - $ 52 , 650 = $ 5,850

7 0
3 years ago
Lucas opened a savings account 20 years ago with a deposit of $3,815.24. The account has an interest rate of 3.3% compounded
qwelly [4]

Answer:

Interest earned = $3546.50

Option B is correct option.

Step-by-step explanation:

Time t = 20 years

Principal Amount P =$3815.24

Interest r = 3.3% or 0.033

Compounded quarterly n = 4

We need to find How much interest has Lucas earned?

First we need to find the future value in the account after 20 years

The formula used to find future value A is: A=P(1+\frac{r}{n})^{nt}

Putting values of t, r , n and P to find A i.e future value

A=P(1+\frac{r}{n})^{nt}\\A=3815.24(1+\frac{0.033}{4})^{20*4} \\Simplifying:\\A=3815.24(1+0.00825)^{20*4} \\A=3815.24(1.00825)^{80}\\A=3815.24(1.929)\\A= 7361.74

Now finding interest amount by subtracting the initial deposit from the future value

Interest earned = Future Value (A)- Initial Deposit (P)

Interest earned = 7,361.74 - 3815.24

Interest earned = 3546.50

So, Lucas have earned interest = $3546.50

Option B is correct option.

3 0
3 years ago
Simply. Rewrite the expression in the form x^n. x^6/x^8
kirza4 [7]

Answer:

x⁻²

Step-by-step explanation:

\frac{x^6}{x^8} = \frac{1}{x^2} = x^-^2

7 0
3 years ago
What is 6 * (4x * 39) equal?
Marat540 [252]
Is that what you need?

4 0
2 years ago
Read 2 more answers
Need help plz Compare using <, >, or =.
jek_recluse [69]
Meanings of inequalities :

< less than
> more than
= equal

convert both fractions to their common denominators , which is 40.

7/2/5 = 7/16/40
7/3/8 = 7/15/40

as you can see, 7/2/5 is bigger. thus the answer is > .
3 0
3 years ago
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