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nalin [4]
3 years ago
14

2. Jacob Thomas had a deposit of two checks: $341.79 and $17.96;

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Answer:

$938.66

Step-by-step explanation:

Cheque = $341.79 + $17.96 =$359.75

<u>Cash</u>

Paper Currency:

=(35 X $1)+(17 X $5)+(44 X $10)

= 35+85+440

=$560

Coins

=(54 X $0.25)+(36 X $0.10)+ (32 X $0.05) + (21 X $0.01)

=13.5+3.6+1.6+0.21

=$18.91

Total Cash Deposit = Paper Currency + Coins

=$560+18.91

=$578.91

Therefore, Jacob's Total Deposit

= Total Cheque Deposit+ Total Cash Deposit

=$359.75+578.91

=$938.66

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F(x)=7x-17/x^2+6x+9 <br>solve using fractional decomposition
Kazeer [188]

Answer:

f(x) = 7/(x+3) -38/(x+3)²

Step-by-step explanation:

The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.

You can start with the form ...

... f(x) = B/(x+3) + A/(x+3)²

and write this sum as ...

... f(x) = (Bx +3B +A)/(x+3)²

Equating coefficients gives ...

... Bx = 7x . . . . . B = 7

... 3B +A = -17 . . . . the constant term

... 21 +A = -17 . . . . filling in the value of B

... A = -38 . . . . . . . subtract 21 to find A

Now, we know ...

... f(x) = 7/(x+3) -38/(x+3)²

8 0
3 years ago
A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
valina [46]

Answer:

P(Same)=\frac{61}{190}

Step-by-step explanation:

Given

Red = 5

White = 6

Black = 9

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

Total = 5 + 6 + 9

Total = 20

This is calculated as:

P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)

So, we have:

P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1}  + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1}  + \frac{9}{20} * \frac{9- 1}{20- 1}

P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19}  + \frac{9}{20} * \frac{8}{19}

P(Same)=\frac{20}{380} + \frac{30}{380}  + \frac{72}{380}

P(Same)=\frac{20+30+72}{380}

P(Same)=\frac{122}{380}

P(Same)=\frac{61}{190}

4 0
3 years ago
Find the interest earned.
MakcuM [25]
September
30-10=20 days
October 31
November 10
Time=20+31+10=61 days
A=42,000×(1+0.035÷365)^(61)
A=42,246.38
Interest earned
I=42,246.38−42,000
I=246.38
5 0
3 years ago
Can someone explain to me how to do this? I just don't get it.
Maksim231197 [3]

Answer:

x=130

Step-by-step explanation:

triangle=180

180-34-96=50

line=180

180-50=130

7 0
2 years ago
Your teacher asked you to represent 3 more than 8 multiplied by a number t as an expression. You wrote 3 + 8t, and your friend w
Leni [432]

Both answers are not the same. You are correct and your friend is wrong. The situation your teacher gave could have only one other interpretation that would be acceptable and that would be 8t+3 because it is the same number just in a different order.

3 0
3 years ago
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