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Ipatiy [6.2K]
3 years ago
5

May someone help me please

Mathematics
1 answer:
AlekseyPX3 years ago
3 0
Discount amount: $160.20
Sale price: $729.80
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Can somebody help me please ​
vesna_86 [32]

9514 1404 393

Answer:

  • 3n+6 (n = smallest)
  • 3n (n = middle)

Step-by-step explanation:

The usual method for doing this is to let n represent the smallest one. Then the three integers are ...

  n, n+2, and n+4

and their sum is ...

  (n) +(n+2) +(n+4) = 3n+6 . . . . sum of 3 consecutive odd integers (n = smallest)

_____

Personally, for consecutive number problems, I prefer to let the variable represent the average value. If n is the average value of 3 consecutive odd integers, is is the middle integer. Of course, the sum will be 3 times the average:

  (n-2) +(n) +(n+2) = 3n . . . . sum of 3 consecutive odd integers (n = middle one)

4 0
3 years ago
A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
3 years ago
Evaluate -x +(-5.8) for x= 7.1.
creativ13 [48]
-7.1+-5.8=-12.9
hope this helps :)
7 0
3 years ago
Read 2 more answers
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
bija089 [108]

a_1=-9\\\\a_2=a_1-8\to a_2=-9-8=-17\\\\a_3=a_2-8\to a_3=-17-8=-25\\\\a_4=a_3-8\to a_4=-25-8=-33\\\\\text{The general term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=-9\ \text{and}\ d=-8.\ \text{Substitute:}\\\\a_n=-9+(n-1)(-8)=-9-8n+8=-8n-1\\\\\text{Put n = 43 and calculate}\ a_{43}\\\\a_{43}=-8(43)-1=-344-1=-345\\\\Answer:\ \boxed{?=-345}

4 0
3 years ago
Your family went out to eat and the total bill was 68.50. If you leave a 15% tip, what is the total cost of the bill
KatRina [158]

Answer:

$ 78.78

Step-by-step explanation:

Calculate 15% of 68.50. then add it to the total bill.

6 0
3 years ago
Read 2 more answers
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