if he had 500.00ghs that has left, he has withdrawn 3,000.00ghs from his bank.
What is the total amount withdrawn from the bank?The total amount that Mr. John withdrew from the bank is 1, which is the same as 100%, in other words, the fraction of the amount remaining is 1 minus 1/2 given to his son and 1/3 that was given to his daughter:
amount left=1-1/2-1/3let 6 be LCMamount left=(6-3-2)/6amount left=1/6500.00=1/5*actual amount actual amount withdrawn=500*6/1actual amount withdrawn=3,000.00 ghsFind out more about fraction on: brainly.com/question/10354322
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Full question: Mr. John withdrew some of money from the bank .He gave 1/2 to his son and 1/3 to his daughters1)if he had 500.00ghs that has left, how much did he take from his bank
You are comparing two savings accounts based on the interest you would earn and the fees they charge. Assuming you have a savings account with an average balance of $500, which combination of interest rates and fees are a better deal? (Hint: Using a one year period, determine the balance that you would have at Bank A and Bank B).
Using simple interest, the better deal is given by Bank B.
What is the missing information?The options are missing, but they are given as follows:
Bank A: An account with 10% annual interest rate and $5/month in fees.Bank B: An account with 2% annual interest rate and no fees.Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
A(t) = A(0)(1 + rt)
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.For Bank A, the balance, without the fee, will be given by:
A(1) = 500(1 + 0.1) = $550.
Removing the fee:
550 - 12 x 5 = $490.
For Bank B, the balance is given by:
A(1) = 500(1 + 0.02) = $510.
No fee, 510 > 490, hence Bank B offers the better deal.
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50 POINTS!!!! PLEASE HELP
Examine this figure.
What postulate or theorem is used to prove∠3≅∠7?
Responses
alternate exterior angle theorem
same-side interior angle theorem
corresponding angle postulate
same-side interior angle theorem
Corresponding angle postulate
Corresponding angles:
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position.
Here we need to prove ∠3 ≅ ∠7
From the properties of the two parallel line cut by the transversal line, these angle is corresponding angles.
i.e., ∠3 ≅ ∠7 (by the properties of the corresponding angles)
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GUYS HELP I HAVE A MATH THING please tell me if the answers are right or what are the answers PLSS LOOK AT THE PIC>>>
Rewrite in simplest terms: 6k - 7(-k - 7)
Answer:
13k + 49
Step-by-step explanation:
Hello!
Simplify6k - 7(-k - 7)Distribute -7 to -k and -7
6k -7(-k) - 7(-7)6k + 7k + 49Combine like terms (6k and 7k)
13k + 49The simplified form is 13k + 49.
There are about 1,045,000, people living in City A. There are 2.5 times that number of people living in City B. What is the approximate number for people living in City B?
The approximate number for people living in City B is 2612500 people
What is the approximate number for people living in City B?The given parameters are
City A = about 1,045,000, people
City B = 2.5 times that number of people living in City B
Substitute City A = about 1,045,000, people in City B = 2.5 times that number of people living in City B
So, we have
City B = 2.5 times 1,045,000, people
Rewrite as
City B = 2.5 * 1,045,000, people
Evaluate the product
So, we have
City B = 2612500 people
Hence, the approximate number for people living in City B is 2612500 people
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Latoya got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 13-
cents per yard. If after that purchase there was $24.67 left on the card, how many yards of ribbon did Latoya buy?
yards
Answer:
.8976 per yard
Step-by-step explanation:
30-24.67=5.33
13÷5.33= 2.43 yards
Question 8 of 10 What is the domain of the function graphed below
Answer:
Step-by-step explanation:
Answer:
domain of the given function is i don't know sorry
Step-by-step explanation:
What is 62 less than the product 22 and 3?
i need it in number sentence
Answer:
(22 × 3) - 62
Step-by-step explanation:
(22 × 3)-62
66 - 62
The answer is therefore 4
a stadium has 20,000 reserved seats and 25,000 general admission seats. if reserved seats are $17.50 and general admission seats are $10.75
A stadium has 20,000 reserved seats and 25,000 general admission seats. if reserved seats are $17.50 and general admission seats are $10.75. The total money taken is $618750
a stadium has 20,000 reserved seats
cost of reserved seats are $17.50
total cost of reserved seats are 20000 x $17.50
total cost of reserved seats = $350,000
the stadium has 25,000 general admission seats
cost of general admission seats are $10.75
total cost of general admission seats is 25000 x $10.75
total cost of general admission seats = $268,750
total money taken if tickets of all seats are sold is summation of cost of reserved seats and general seats
= $ 350000 + $268750 = $618750
Therefore the total money taken is $618750
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4. Two cities are 400 miles apart. A high-speed train can get from one to the other in two hours.
What is its speed?
Answer:
200 MPH
Step-by-step explanation:
You basically have to divide 400 miles by two hours, since you need the miles per hour.
*Please mark brainliest answer
PLS HELP 30 POINTS
The graph represents a quadratic function. Write an equation of the function in standard form.
Answer: [tex]y=x^2 -4x-2[/tex]
Step-by-step explanation:
The equation in vertex form is [tex]y=a(x-2)^2 -6[/tex]. Substituting in the coordinates (5, 3),
[tex]3=a(5-2)^2 -6\\\\3=9a-6\\\\9=9a\\\\a=1[/tex]
So, the equation is [tex]y=(x-2)^2 -6[/tex]. This expands as follows:
[tex](x-2)^2 -6\\\\=x^2 -4x+4-6\\\\=x^2 -4x-2[/tex]
Answer:
f(x) = [tex]x^{2}[/tex] -4x -2
Step-by-step explanation:
Will mark brainliest! Which graph represents a function?
Answer: 1
Step-by-step explanation:
Is it correct ?
Answer please………..
Answer:
yes, your answer is correct
Answer:
3 + 7 - (-10)
Step-by-step explanation:
> Option 1)
[tex]3 - 7 + (-10)\\\to 3 - 7 - 10\\\to -14[/tex]
> Option 2)
[tex]3 + 7 - (-10)\\\to 3 + 7 + 10\\\to 20[/tex]
> Option 3)
[tex]3 - 7 - (-10)\\\to 3 - 7 + 10\\\to 6[/tex]
> Option 4)
[tex]3 + 7 + (-10)\\\to 3 + 7 - 10\\\to 0[/tex]
Determine the most convenient method to graph the following line.
3x+2y=12
The most convenient method to graph the line is to plot the equation y = -3/2x + 6 to represent the equation 3x + 2y = 12
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the method of plotting the graph?The equation is given as
3x + 2y = 12
The above equation is a linear equation
All forms of equation can be conveniently plotted by a graphing utility
However, the best way is to start by simplifying the equation
So, we have
3x + 2y = 12
Divide through the equation by 2
So, we have
3/2x + y = 6
Make y the subject of the equation
So, we have
y = -3/2x + 6
This means that we plot the equation y = -3/2x + 6 to represent the equation 3x + 2y = 12
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Solve the function 4|2x+4|−7=17
Answer:
[tex]x = 1[/tex] or [tex]x = -5[/tex]
Step-by-step explanation:
[tex]4|2x + 4|-7 = 17\\\to4|2x + 4| = 24\\\to |2x + 4| = 6[/tex]
Case 1) 2x + 4 is positive
[tex]2x + 4 = 6\\\to 2x = 2\\\to x = 1[/tex]
Case 2) 2x + 4 is negative
[tex]2x + 4 = -6\\\to 2x = -10\\\to x = -5[/tex]
Nine more than six times the number x is 7 less than the number x.
Answer: 9 + 6(x) = 7 - x
Answer:
→ 9 + (6 × x) = 7 - x
which option could complete the sequence in question 25
25. 27, 3, 24, 7 .......... 11, 18
a. 16
b. 14
c.28
d. 21
The right option which completes the sequence is option d.
21.
Given, the series is 27, 3 , 24 , 7,......11, 18
There are 2 series in the given series,
1st series = 27 , 24 , ? , 18
2 nd series = 3 , 7 , 11
In the first series, the next term gets subtracted by 3.
27 - 3 = 24
24 - 3 = 21
21 - 3 = 18
In the second series, the next term gets added by 4.
3 + 4 = 7
7 + 4 = 11
hence the series is completed:
27,3,24,7,21,11,18
Therefore the sequence is completed.
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What is the distance between –12 and –7 on a number line?
Kylie and her sister started watching an action movie at 10:11 A.M. The movie was 2 hours
and 30 minutes long. After the movie, they played soccer in the backyard for 2 hours and 5
minutes. What time was it when Kylie and her sister finished playing soccer?
Answer:
2:46 p.m.
Step-by-step explanation:
Answer:
2:46 p.m.
Step-by-step explanation:
Start time: 10:11 a.m.
movie end time: 10:11 a.m. + 2hrs 30 min = 12:41 p.m.
soccer end time: 12:41 p.m. + 2hrs 5 min = 2:46 p.m.
Expand and simplify (2x + 5)2
Answer: 4x +10
Step-by-step explanation:
Distribute the 2 to both terms
2*2x + 2*5
4x + 10
Which property is illustrated by the equation below?
(7 + 6) + 4 = 7 + (6 + 4)
A. Distributive property
B. Identity property
C. Associative property
D. Commutative property
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - -
[tex]\textsf{The illustrated property is the associative property, which states that you}\\\textsf{can change the grouping of the numbers, but the result will be the same.}\\\textsf{In other words,}\\\textsf{(a+b)+c=a+(b+c)}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
A salesperson’s commission rate is 6%. What is the commission from the sale of $33,000 worth of furnaces? Use pencils and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.
The commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960
How to solve for the commissionGiven that the commission rate is 6%
If the sales done is 33000 dollars then the commission received by the agent would be:
33000 * 0.06 = 1980
Now if the sale doubles we would have 33000 x 2
= 66000 dollars
then the commission received would be
66000 x 0.06
= $3960
Hence we would say that the commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960
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Describe how to transform the graph of f into the graph of g.
f(x)=√x and g(x) = √0.2x
The f(x) - k shifts the function g(x) by √0.8x units downwards
Let us consider
f(x) = g(x) + k
g(x) = f(x) - k
where f(x) = √x and
g(x) = √0.2x
Substituting these values in the above equation
√0.2x = √x - k
-k = -√x + √0.2x
k = √x - √0.2x
k = √0.8x
which means that the f(x) - k shifts the function g(x) by √0.8x units downwards.
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3×+(8×-16) what is the simplified form of this equation
Answer:
11x - 16
Step-by-step explanation:
3x + (8x-16)
3x + 8x-16
11x - 16
Solve for x. Type the number only.
The value of angle x in the triangle is 5
How to determine the value of x?The given parameter is represented by the figure
By the external opposite angle of a triangle theorem, we have the following equation
22x + 3 = 6x + 4 + 79
Collect the like terms
So, we have
22x - 6x = 4 + 79 - 3
Evaluate the like terms
So, we have
16x = 80
Divide both sides by 16
So, we have
x = 5
Hence, the value of angle x in the triangle is 5
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16. The greatest distance between the Sun and
Jupiter is about 8.166 × 10^8 kilometers. The
greatest distance between the Sun and Saturn
is about 1.515 X 10^9 kilometers. What is the
difference of these two distances?
Answer:
6.984×10^8 km
Step-by-step explanation:
Your calculator can tell you the answer to this.
15.15×10^8 -8.166×10^8 = 6.984×10^8
The difference between the distances is about 6.984×10^8 km.
_____
Additional comment
If you're paying attention to significant figures, you must round this to 6.98×10^8 km. The precision of the Saturn distance does not allow any better precision in the difference.
The product of all positive real values of x satisfying the equation [tex] \sf {x}^{(16( log_{5} {x})^{3} - 68 log_{5}x) } = {5}^{ - 16} [/tex] is
Take the base-5 logarithm on both sides and simplify.
[tex]x^{16 \log^3_5(x) - 68 \log_5(x)} = 5^{-16}[/tex]
[tex]\left(16 \log^3_5(x) - 68 \log_5(x)\right) \log_5(x) = -16[/tex]
[tex]16 \log^4_5(x) - 68 \log^2_5(x) + 16 = 0[/tex]
[tex]4 \log^4_5(x) - 17 \log^2_5(x) + 4 = 0[/tex]
Factorize the left side.
[tex]\left(4 \log^2_5(x) - 1\right) \left(\log^2_5(x) - 4\right) = 0[/tex]
Then
[tex]4 \log^2_5(x) - 1 = 0 \implies \log^2_5(x) = \dfrac14 \\\\ ~~~~~~~~ \implies \log_5(x) = \pm \dfrac12 \\\\ ~~~~~~~~ \implies x = \dfrac1{\sqrt5} \text{ or } x = \sqrt5[/tex]
or
[tex]\log^2_5(x) - 4 = 0 \implies \log^2_5(x) = 4 \\\\ ~~~~~~~~ \implies \log_5(x) = \pm 2 \\\\ ~~~~~~~~ \implies x = \dfrac1{25} \text{ or } x = 25[/tex]
and the product of these solutions is of course 1.
Midtown Antiques collects 2% sales tax on all sales. If total sales including tax are
$1591.62, find the portion that is the tax amount.
Answer:.05*1493.47 = $74.67 also
Step-by-step explanation:
Choose the definition for the function.
A.
C.
√4x - if x < 0
3
2x + 2
if x ≥ 0
2x - 2
--4
if x ≤ 0
if x > 0
B.
D.
2x + 2
x + 4
x + 4
2x + 2
if x ≤ 0
if x > 0
if x ≤ 0
if x > 0
Answer:
B
Step-by-step explanation:
we need to look at the y-intercept (the y value when x=0).
we need equating with +2 and +4 at the end.
that eliminates A and C, leaving B and D as potential right answer.
but then we see that the y-intercept "+2" must be in an equation for x <= 0, because that line with +2 intercept only covers negative x.
so, B is correct.
A person at the mall purchased 4 shirts at an average price of $14. How much did the 5th shirt cost if the average after the 5th shirt was purchased changed to $16 per shirt?
GIVING BRAINLIEST AND THANKS
Answer: $24
Step-by-step explanation:
14+14+14+14=56
56+24=80
80/5
16
The 5th shirt cost $24 if the average after the 5th shirt was purchased changed to $16 per shirt.
Let's consider the total cost of the first 4 shirts:
Total cost of first 4 shirts = 4 shirts * $14/shirt = $56
Now, let's assume the cost of the 5th shirt is "x" dollars. After purchasing the 5th shirt, the total cost of all 5 shirts would be:
Total cost of all 5 shirts = $56 + x
Given that the average price after the 5th shirt was purchased is $16, we can set up an equation using the average formula:
Average price = Total cost / Number of shirts
$16 = ($56 + x) / 5
Solving for x:
$16 * 5 = $56 + x
$80 = $56 + x
x = $80 - $56
x = $24
So, the cost of the 5th shirt (x) is $24. This means that the person purchased the 5th shirt for $24 in order to bring the average price of all 5 shirts to $16 per shirt.
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