Lucus had a balance of $21 in his checking account. Since then he made deposits of $187, $445 and $454 and wrote checks for $74, $137, $139, and $240. When all of the deposits are recorded and all of the checks clear, what balance will he have in his checking account?

Answers

Answer 1

Based on the opening balance, the amounts deposited, and the amounts for checks, the balance in the account should be $517.

The deposits into the account will increase the balance whilst the checks will do the opposite.

The balance is therefore:

= Opening balance + Deposits - Checks

= 21 + 187 + 445 + 454 - 74 - 137 - 139 - 240

= 21 + 1,086 - 590

= $517

In conclusion, the balance will be $517.

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Related Questions

Solve for x.

−2x−1+3x=7


x=−2

x=−1

x = 6

x = 8

Answers

Answer:

x=8 is the answer. x-1=7 => x=7+1= 8

Each student in Mr. Ricardo's class has one camera that holds
320 pictures. He asks each student to delete 1/4 of the pictures and turn in the rest. Which of the following functions best represents the number of pictures, p that Mr. Ricardo will collect depending on the number of cameras, that his students have?

A) p=80c

B) p=160c

C) p=240c

D) p=320c

Answers

Answer:

C) p = 240c

Step-by-step explanation:

Each camera has 320 pictures.

If 1/4 of pictures deleted, remaining number is:

320 - 1/4*320 = 320 - 80 = 240

Total number of pictures is:

p = 240c

Correct choice is C

If 18 plums weigh 54 ounces, then 6 plums weigh how many
ounces?

Answers

Answer:

18

Hope this helps :) Please mark this brainiest?

Step-by-step explanation:

18/6=3

54/3=18

Answer:

18 ounces

Step-by-step explanation:

I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps

<3

Simplify the expression, ((p^(-2)+1/p)^1 )^p, when p=3/4, in both radical and rational exponents forms.

Radical form: Rational exponent form:

this question requires two answers please

Answers

Answer:

(1/27)252^(3/4)(1/27)fourth root(252^3)

Step-by-step explanation:

The exponent of 1 can be ignored. This means we're simplifying ...

  [tex]\left(\left(\dfrac{3}{4}\right)^{-2}+\dfrac{1}{\left(\dfrac{3}{4}\right)}\right)^{3/4}=\left(\dfrac{16}{9}+\dfrac{4}{3}\right)^{3/4}=\left(\dfrac{28}{9}\right)^{3/4}\\\\=\left(\dfrac{28\cdot9}{3^4}\right)^{3/4}=\boxed{\dfrac{252^{3/4}}{27}}\qquad\text{rational exponent form}\\\\=\boxed{\dfrac{\sqrt[4]{252^3}}{27}=\dfrac{\sqrt[4]{16003008}}{27}}\qquad\text{radical form}[/tex]

Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last year, Mona Header failed the test, but claimed that this was due to the early hour. (The fitness test is traditionally given at 5 AM on a Sunday morning.) In fact, a study by the ESU Physical Education Department suggested that 46% of athletes fit enough to play on the team would fail the soccer test, although no unfit athlete could possibly pass the test. It also estimated that 37% of the athletes who take the test are fit enough to play soccer. Assuming these estimates are correct, what is the probability that Mona was justifiably dropped

Answers

Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Fail the test.Event B: Unfit.

The probability of failing the test is composed by:

46% of 37%(are fit).100% of 63%(not fit).

Hence:

[tex]P(A) = 0.46(0.37) + 0.63 = 0.8002[/tex]

The probability of both failing the test and being unfit is:

[tex]P(A \cap B) = 0.63[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873[/tex]

0.7873 = 78.73% probability that Mona was justifiably dropped.

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A farm lets you pick 3 pints of raspberries for $12.00. How many pints do you get per dollar?

Answers

Answer:

it would take 4 dollars to get one pint. if that's what your asking.

Step-by-step explanation:

divide 12 by 3 or multiply 3 by 4 which gives you 12. your answer is 4 if i understand correctly.

1+×= ???? answer it ​

Answers

Answer:

1+x=x

Step-by-step explanation:

1 is only one letter

4)
4826 Fans attended the
Bears vs. Wildcats footbal game.
The number of Wildcat fans was
250 less than three times the
number of Bear fans in attendance
How many Wildcat fans were at
the game? How many
Bear Fans were there?

Answers

The number of Wildcat fans were at  the game is 3557.

The number of  bears fans at the game is 1269.

Let:

W = number of wildcats fans at the game

B = number of bears fans at the game.

The total number of fans at the game: W + B = 4826

This equation can be used to represent the number of wildcats fans at the game: W = 3b - 250

Replace for w in the above equation:

3b - 250 + b = 4826

To determine the value of b, take the following steps

Combine and add similar terms

4b = 5076

Divide both sides by 4

b = 1269

To determine the value of w, substitute for b in the first given equation.

W + 1269 = 4826

w = 4826 - 1269

w = 3557

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Howards baseball team won 7/10 of its game. Jeremys team won 2/5 of its game. They both played the same number of games. Whose team won more games, or did they win the same amount?

Answers

Answer:

Jeremy's team won more games

Step-by-step explanation:

Let's transform these fractions into ratios:

[tex]\frac{7}{10} =7:10\\\\\frac{2}{5} =7:10[/tex]

Then, simplify:

[tex]7:10[/tex] ≈ [tex]1:1.4[/tex]

[tex]2:5=1:2.5[/tex]

Finally, compare:

[tex]1:1.4\neq 1:2.5[/tex]

Result:

Jeremy's team won more games since [tex]1:2.5>1:1.4[/tex]

Note:

The way I simplify the ratios may be confusing so here is a quick explanation;

Make the smaller of the two numbers in the ratio into one then divide the larger number by the smaller number for the other part of the ratio

Example:

5:10

5 turns into 1

10 divided by 5 equals 2

Simplified Ratio: 1:2

Jeremy won more games than Howard.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Howard Team won = 7/10

Jeremy team won = 2/5

Now, taking LCM (5, 10)= 10

So, Jeremy team won = 2/5

                                     = 4/10

So, Jeremy won more games than Howard.

Learn more about fraction here:

https://brainly.com/question/10354322

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PLEASE NEED THIS ASAP

Answers

Answer:

The answer is in the above attachment.

Round 61.373737842 to the nearest ten-millionth ​

Answers

Answer:

61.3737378

Step-by-step explanation:

First find the ten millionth digit, and the digit after it.

The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.

As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.

Thus the answer is 61.3737378

Consider the graph of the of the quadratic function g(x). See below

Answers

Answer:

I believe the correct answers would be...

32.) B

33.) C

Step-by-step explanation:

32.)

Since the function is shifted downward 1 unit from the x-axis, "q" would be -1

33.)

If the function is shifted upward 4 units, the "+4" would be on the outside of the parentheses.

is 6 x 8 4 x 12 equal or not equal

Answers

Answer:

both is 48

Step-by-step explanation:

Frank is going to buy some ties
at $7.50 per tie and some shirts
at $18.50 per shirt. If he buys
twice as many ties as shirts and
spends no more than $205, what is the greatest number of shirts he
can buy? [All prices include tax.]

Answers

Answer:

  6 shirts

Step-by-step explanation:

The cost of a shirt and 2 ties is ...

  $18.50 +2(7.50) = $33.50

For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.

Frank can buy 6 shirts (and 12 ties) for an amount less than $205.

_____

Additional comment

Frank's cost will be $201 for that purchase.

Write 640 : 30 in the lowest form.

Answers

Answer:

should be 64:3

Step-by-step explanation:

divide by 10

The ratio of boys to girls is 7:5. The ratio of boys with glasses to boys without glasses is 1:6. The ratio of girls with glasses to girls without glasses is 1:3. What fraction of students wear glasses?

Answers

Answer:

  3/16

Step-by-step explanation:

Boys with glasses are 1/(1+6) = 1/7 of boys. Boys are 7/(7+5) = 7/12 of the group.

Girls with glasses are 1/(1+3) = 1/4 of girls. Girls are 5/(7+5) = 5/12 of the group.

The fraction of the group that wears glasses is ...

  (1/7)(7/12) +(1/4)(5/12) = 1/12 +5/48 = 9/48 = 3/16

3/16 of the students wear glasses.

_____

Additional comment

It appears we can choose a multiple of 48 students to work out the detailed numbers. For 48 students, the ratio of boys to girls is 28 : 20. The ratio of boys with glasses to those without is 4 : 24, and the similar ratio for girls is 5 : 15. In our group of 48 students, 4 boys and 5 girls = 9 students wear glasses. The fraction is 9/48 = 3/16 as shown above.

I am having a hard time on solving this question x4−85=−92 does someone know how to explain it?

Answers

Answer:

X equals positive -1.75

Step-by-step explanation:

because X is muliplying by the common number attached to it (4)

-1.75 times 4 equals -7

thus being -7-85= -92

Answer:

well you have to solve for X  so -1.75 times 4 equals -7 then solve. so your answer would be- X equals positive -1.75

Is there a proportional relationship between x and y? Explain.

Answers

Answer:

c

Step-by-step explanation:

14-11=3

12-9=3

10-7=3

8-5=3

Answer:

A

Step-by-step explanation:

It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.

-5(X+2)=35 APPLY THE DISTRIBUTIVE PROPERTY

Answers

Hello!

-5(x+2)=35

-5x-10=35

-5x=35+10

-5x=45

x=-9

Hope it helps!

~Just a determined gal

#CarryOnGainingKnowledge

[tex]MysteriousNature[/tex]

Answer:

x = -9

Step-by-step explanation:

-5(x + 2) = 35

~Distribute

(-5 * x) + (-5 * 2) = 35

~Simplify

-5x - 10 = 35

~Add 10 to both sides

-5x = 45

~Divide -5 to both sides

x = -9

Best of Luck!

Use the Pythagorean Theorem to find the missing length and
then round the result to the nearest tenth.
a = 12, b = 12, C =

Answers

Step-by-step explanation:

c = 12√2. or 16.968.

hope this helps you.

Since both a & b have the same measurements, the triangle is a right angled isosceles triangle (we use pythagorean theorem only for right angled triangles). So, C is obviously the hypotenuse of the triangle (the longest side).

According to the pythagorean theorem,

Hypotenuse² = Base² + Altitude²

C² = A² + B²

C² = 12² + 12²

C² = 144 + 144

C² = 288

C = √288

C = 16.975

C = 17 (approx.)

______

RainbowSalt2222 ☔

Solve the compound inequality.
3x + 1 <4 or 9x > 31

Answers

Answer:

Step-by-step explanation:

3x < 4 - 1   or x > 31/9

3x < 3 or x > 31/9

x < 1  or x > 31/9

Pls someone help, and fast

Answers

It would be 22.4-16.1 which is 6.3 pounds!

Answer:

So for Shop A 10, a pack of 10 pens is going to be 2.30. To get to 70 pens we must multiply

7x2.30

=$16.10

For Shop B you must  first divide

70 divided by 5 = 14 packs of pens in total, divide 14 by 2 because half of the packs will be half off.

so, 7x1.60

=$11.20- then divide 1.60 by 2 = $0.80,

then multiply by 7

=$5.60, then add the the two numbers for Shop B,

$11.20 + $5.60= 16.80

Step-by-step explanation:

So if you buy pens from Shop A you will spend $16.10, If your buying pens for Shop B you will spend $16.80

The difference from buying pens from Shop A and Shop B would be $0.70

HELP PLEASE
What is (are) the x intercept(s) of the function graphed above?
-4
-14 and 4.5
-5,1, and 4
-4, -1 and 5

Answers

Answer:

-4, -1, and 5

Step-by-step explanation:

1. The x-intercepts of a function is where the function intersects with the x-axis.

2. Given the information above, we can see that the function intersects the x-axis at (-4,0), (-1,0), and (5,0).

This means that the x-intercepts are -4, -1, and 5.

you make 12 equal payments your total is 1308 how much is each payment

Answers

Answer:

109 is the correct answer

If your answer is b[tex]\neq[/tex]-10 what does it mean

Answers

Answer:

This means that b is not equal to -10.

What is the value of g(1)? What is the value of g(-12)? For which of the following x-values is g(x)=-6

Answers

The numeric values of the function are given as follows:

g(1) = 4.g(-12) = -10.g(x) = -6 for -8 ≤ x < -1.

g(1)

When x = 1, the function has a closed value on the graph at y = 4, hence:

g(1) = 4.

g(-12)

When x = -1,2 the function is passing through y = -10, hence the numeric value is given as follows:

g(-12) = -10.

g(x) = -6

The function is passing through the horizontal line y = -6 when -8 ≤ x < -1, hence:

g(x) = -6 for -8 ≤ x < -1.

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what is the slope of the line?

Answers

The slope is 8/5 or 1.6

Hello, Sorry To bother you nice ppl but more questions awaits u :)

Answers

Answer:

B. -2x + 10 is the correct answer

Answer:

(C) -2x + 10

Step-by-step explanation:

This is going to be multiplication from the first number outside the "Bubble"

                              -2 multiplied by x = -2x ,

why ? because a negative times a positive makes a negative    

                      Next is -2 multiplied by -5 = 10

why ? because a negative times a negative = equals a positive !

now .. you add up all of the sums together to make an equation ..

                            Answer would be -2x+10

the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.

Answers

Answer:

You should be able to get your answer by

Step-by-step explanation:

For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.

Hope this helps

What is the value of -2(x+5)​

Answers

Answer:

-2x-10

Step-by-step explanation:

You have to use the distributive property to solve this problem. You multiply the things inside the parenthesis by -2. -2x+-2x5 = -2x+(-10) = -2x-10

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