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Lady_Fox [76]
3 years ago
15

A bike shop has bicycles and tricycles in stock. In total he has 21 items in stock with a total of 51 wheels. Can you tell

Mathematics
1 answer:
stira [4]3 years ago
6 0

Answer:

21 bikes and 3 tricycles

Step-by-step explanation:

21 items

51 wheels

42 wheels=21 bikes

51-42=9

9/3=3 tricycles

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Use the remainder theorem to find P(-3) for P(x)= -2x^4-4x^3+6x^2-7
Sunny_sXe [5.5K]

Answer:

18/7

Step-by-step explanatiP(x)= -2x^4-4x^3+6x^2-7

7 0
3 years ago
A 20,000 deposit earns 4.8 interest for 4 years . What is the final account balance if the interest is compounded semiannually ?
Bad White [126]

Answer:

Semi-annually: A = $24 178.51

Quarterly:         A = $24 205.73

Monthly:           A = $24 224.13

Step-by-step explanation:

The formula for compound interest is

A = P(1 + r)ⁿ

A. Compounded semi-annually

Data:

P = $20 000

APR  = 4.8 %

t = 4 yr

Calculations:

n = 4 × 2 = 8

r = 0.048/2  = 0.024

A = 20 000(1+ 0.024)⁸

  = 20 000 × 1.024⁸

  = 20 000 × 1.208 926

  = $24 178.51

B. Compounded Quarterly

n = 4 × 4 = 16

r = 0.048/4  = 0.012

A = 20 000(1+ 0.012)¹⁶

  = 20 000 × 1.012¹⁶

  = 20 000 × 1.210 286

  = $24 205.73

C. Compounded monthly

n = 4 × 12 = 48

r = 0.048/12  = 0.004

A = 20 000(1+ 0.004)⁴⁸

  = 20 000 × 1.004⁴⁸

  = 20 000 × 1.211 207

  = $24 224.13

4 0
4 years ago
Jeremy weighs 60 pounds. Marilyn weighs 19 pounds. How much heavier is Jeremy than Marilyn​
Schach [20]
60 - 19 = 41

Jeremy is 41 pounds heavier than Marilyn.
5 0
3 years ago
Read 2 more answers
13x = 79 ? Can somebody explain #9 b. PLEASE. Please solve using the system of linear equations by elimination.I would love it i
strojnjashka [21]
8x + 2y = 44
5x + 2y = 35

Since 2y is already common, there is no need for multiplication. Just reverse the signs on the equation.

Like this; 

8x + 2y = 44
-5x - 2y = -35

All the additions become subtractions and vice versa.

-2y and +2y get cancelled.

Leaving;

8x = 44
-5x = -35

Now, subtract again. 

8x - 5x = 3x

44 - 35 = 9

So;

3x = 9

x = 9 / 3

x = 3

We found 'x' and now we have to find 'y'.

Just substitute. 

[8 x 3] + 2y = 44

24 + 2y = 44

2y = 44 - 24

2y = 20

y = 20 / 2

y = 10

Now, we re-check;

[8 x 3] + [2 x 10] = 44

24 + 20 = 44

Explaining the error for #9b is simply doing the whole sum. 

Hope this helped! :) I tried my best to explain. 

7 0
3 years ago
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
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