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max2010maxim [7]
3 years ago
14

Century Go...

Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0

6 bills in the deposit were $10 bills.

<u>Step-by-step explanation:</u>

The total number of bills he gave the teller = 24 bills

x + y = 24 ------------(1)

Let,

x be the number of $5 bills.

y be the number of $10 bills.

The total bank deposit made using $5 and $10 bills are $150.

<u>He deposits $5 bills and $10 bills. So, the equation can be framed as : </u>

5x + 10y = 150 --------(2)

The question is asked for how many $10 bills were in the deposit,

Here 'y' is the number of $10 bills.

<u>To solve for y value : </u>

The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),

 5x + 5y = 120

-(<u>5x + 10y = 150</u>)

 <u>-5y = -30      </u>

⇒ y = 30/5

⇒ y = 6

Therefore, there were 6 bills in the deposit that are $10 bills.

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If 1/2 is the fraction representing the ratio of corresponding sides of two similar
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Answer:

1/4

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the lengths of sides.

(1/2)² = 1/4

Answer: 1/4

7 0
2 years ago
The simple interest on a certain sum of money for 2 years at 5% per annum is Rs 320. What will be the compound interest on the s
Brilliant_brown [7]

Answer:

Rs 328

Step-by-step explanation:

Find the <u>principal</u> amount invested.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • I = Rs 320
  • r = 5% = 0.05
  • t = 2 years

Substitute the given values into the formula and solve for P:

⇒ 320 = P(0.05)(2)

⇒ 320 = P(0.1)

⇒ P = 3200

<u>Compound Interest Formula</u>

\large \text{$ \sf I=P\left(1+\frac{r}{n}\right)^{nt} -P$}

where:

  • I = interest earned
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = 3200
  • r = 5% = 0.05
  • n = 1 (annually)
  • t = 2 years

Substitute the given values into the formula and solve for I:

\implies \sf I=3200\left(1+\frac{0.05}{1}\right)^{2} -3200

\implies \sf I=3200\left(1.05\right)^{2} -3200

\implies \sf I=3200\left(1.1025\right) -3200

\implies \sf I=3528-3200

\implies \sf I=328

Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.

7 0
2 years ago
A four digit number (with no repetitions) is to be formed from the set of numbers {0,1,2,3,4,5,6,7}. Find the probability that t
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Even # --------- if it ends with 0, # of ways = 6*5*4 = 120 if not, 3 ways for ending digit, 5 ways for 1st digit, 5*4 for middle digits = 300 
so total ways = 420 
odd # --------- 4 ways of ending digit, 5 ways for 1st digit, 5*4 for middle digits = 400 ways 
< 4000: ---------- 3 ways for starting digit, 6*5*4 ways for remaining digits = 360 ways 
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5 0
3 years ago
How to solve this part
san4es73 [151]

Try this solution (the way shown is not the shortest one):

The task on the left part:

1. note, the point P and R have coordinates (-4;-4) and (-3;-2).

2. using the coordinates of points P and R it is possible to make up the equation of the required line:

\frac{x-x_P}{x_R-x_P} =\frac{y-y_P}{y_R-y_P}; \ => \ \frac{x+4}{-3+4}=\frac{y+4}{-2+4}; \ => \ \frac{x+4}{1}=\frac{y+4}{2}  \ or \ y=2x+4

The task of the right part:

1. note, the common view of the equation of the line is y=kx+b, where b - an intersection point of the Y-axis and the given line; k=QR/PQ.

2. according the picture b= -5, k=4/1=5, so <u>y= -4x-5</u>

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Which type of function correctly describes the exponential function
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the answer is a. increasing function

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3 years ago
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