Answer:
8000 and 12,000
Step-by-step explanation:
Let the amount of money deposited in the 3% account be known as "x"
The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)
3% Interest -> 0.03 *
6% Interest -> 0.06 *
0.03 * x + 0.06 * (20,000 - x) = 960
0.03x + 1200 - 0.06x = 960
-0.03x = -240
x = 8000
20,000 - x
20,000 - 8000 = 12000
t=(m+b)x solve for x
Answer:
[tex]x=\frac{t}{m+b}[/tex]Step-by-step explanation:
T = (m + b)x
Divide both side by (m + b):
[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]
Cancel out (m + b) and you have your answer!
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
We have that, how long it will take for Liu to catch Mariel is mathematically given as
t=3.076s
From the question we are told
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
Generally the equation for the Average speed is mathematically given as
[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]
Therefore
How long it will take for Liu to catch Mariel is mathematically given as
[tex]t=\frac{20}{6.5}[/tex]
t=3.076s
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Equivalent fractions
Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.
Step-by-step explanation: Hope this help. hit me up if u need some more help
Answer:
1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48
2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24
3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12
4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36
5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27
Step-by-step explanation:
The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.
For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.
Hopes this helps you!
for questions 4 use the graph provided.
PLEASE HELP.
Step-by-step explanation:
according to the drawing:
the first domain : -1≤ x ≤ 0
the second domain : 0< x < oo
the total domain : [-1, oo)
the first range : 0 ≤ y ≤ 1
the second range : -1< y < oo
the total range : [0, oo)
so, the correct answer is
a. Domain: [-1, oo) Range : [0, oo)
Domain:-
Set of x valuesHere
This is a piecewise function
So domain is
[-1,0]U(1,oo)[-1,oo)Range:-
Set of y valuesHere thats
[0,1]U[1,oo)[0,oo)The sum of 6 times and 4 is 2
Answer:
6x +2=3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example, I'm using x)
When you put it all together, it is 6x + 2 = 3
Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation. What is his net pay? Enter your answer rounded to the nearest cent, such as: $4253.64.
Patrick's net income will be equal to $1178.41.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Patrick's gross earnings for the week are $1592.45. His deductions comprise 26% of his total compensation.
Patrick's net income will be calculated as below:-
26% of $1592.45 = 1592.45 x ( 26 / 100 ) = 414.037
Subtract the deduction from the gross amount:-
Net income = 1592.45 - 414.037 = $1178.41
Therefore, Patrick's net income will be equal to $1178.41.
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Players
Amount
Paid
The table above represents the number of people in a group who played laser tag and the group's total cost to play. Which of the
following represents the rate of change relative to this situation?
Answer:
C. 4.00 per person
Step-by-step explanation:
I say its 4.00 per person because in each row you mutiply the players and 4.00 you get the other side of the row. Ex 11 players multiplied by 4 dollars per person equals 44.00 dollars in total which the graph shows.
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
What is the slope of the line in the graph?
On a coordinate plane, a line with negative slope goes through points (0, 1) and (4, negative 2).
Negative four-thirds
Negative three-fourths
Three-fourths
Four-thirds
Answer:
the slope for (0,1)(4,-2) is -3/4
Answer:
B. Negative three-fourths
Step-by-step explanation:
Suppose that the value of a stock varies each day from $12.82 to $33.17 with
a uniform distribution.
Find the third quartile; 75% of all days the stock is below what value?
Answer:
$28.08
Step-by-step explanation:
$33.17 - $12.82 = $20.35
75% of $20.35 = $15.26
$15.26 + $12.82 = $28.08
22. Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person
caught at least 1 fish, then which of the following must be true?
A. One person caught exactly 2 fish.
B. One person caught exactly 3 fish.
C. One person caught fewer than 3 fish.
D. One person caught more than 3 fish.
E. Two people each caught more than 1 fish.
(MT calendar problem)
66. Magic Square A magic square is a square array of numbers that has the property that the sum
of the numbers in any row, column, or diagonal is the same. Fill in the square below so that it
Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person caught at least 1 fish, then C) One person caught fewer that 3 fish.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
It is given that Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person caught at least 1 fish, then we need to find the following must be true.
Therefore, the statement that is true C) One person caught fewer that 3 fish.
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3 out of 100 is what percentage?
A 3%
B 30%
C 18%
D 100%
Answer:A 3%
Step-by-step explanation:
A movie is 1 3/8 hours long. Write the mixed number 1 3/8 as a decimal.
Answer:
1 3/8 as a decimal is 1.375
Step-by-step explanation:
It's a terminating decimal.
Just need someone to clarify things with me!
As I was solving this equation, I got:
x^-2
-------
x^10
I moved x^-2 down with x^10
So in x^-2's place, I placed a positive 1.
1
----------------------
x^10 times x^-2
The radical rule here is to pretty much subtract ahead. However, this extremely smart person said something like if I move a negative number to the denominator, it becomes positive. However, in this case, x^-2 stays the same.
Anyone explain here??
Answer:
[tex]\frac{1}{x^{12} }[/tex]
Step-by-step explanation:
Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]
The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1: [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]
Then, you'll have to work on the denominator:
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]
Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:
[tex](x^{-5})^{2} = x^{-10}[/tex]
Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]
At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]
So the denominator now becomes:
[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]
Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:
[tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]
Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]
Convert to - 5/8 to its decimal form using long division. If your answer is a repeating decimal, make sure your decimal goes 5 place values after the decimal or the sequence of numbers that repeat if it is more that five decimal places after the decimal. *
Answer: 5/8 as a decimal is expressed as 0.625.
Hope it helps!
Question 10 of 10
Simplify 43.45
A. 168
B. 16.15
C. 48
O O
D. 415
SUBMIT
Answer:
C
Step-by-step explanation:
4^3 x 4^5 =4^8
You add the exponents together because they have the same base and it's multiplication sum.
26 is 38% of what number
Answer:
68.42105263157895
Step-by-step explanation:
Answer:
68.42
Step-by-step explanation:
At what values of the variable a is the value of the expression a (a + 5) greater than the value of the expression a (a - 4)?
Answer:
every number that is less than -1
Step-by-step explanation:
what multiplies to get 27 but adds to get -1
Answer:
9×3
and
-26
Step-by-step explanation:
9×3=27
27+-26
Mr. Korhonen use 1/8 of a cup of laundry detergent when he does a load wash how many cups will have need to do 4 loads
side length of a cube with a volume of 614cm
Answer:
just get the cube root of 614
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km/h slower than the other. If the two cyclists are 120 kilometers apart after 2 hours, what is the rate of each cyclist?
what is the value of the function when x = 0?
Answer:
f(0) = -2.
Step-by-step explanation:
This question pertains to the y-intercept. By definition, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates, (0, b). It is also the value of y when x = 0. Looking at the graph, the point where the line crosses the y-axis is (0, -2). The y-coordinate is the y-intercept, b.
Therefore, the value of the function when x = 0 is: f(0) = -2.
HELLLPPPPP PLSSSSSS
Why do you have to use the quadratic formula for the following instead of factoring?
x^2 - 12x - 20 = 0
Answer:
There are no factor that you can find that when two factors are multiply together your get a product of -20 and when you add then you get -12
Step-by-step explanation:
An amount increased by 10% to 517.
What was the original amount?
Answer:
470
Step-by-step explanation:
x is the amount that represents 100 %
517 amount that represents 100%+10% increase = 110%
x = (517 *100) / 110 = 470 is the original amount
What 2 numbers have a total of 34 and a difference of 8?
Answer:
21 and 13
Step-by-step explanation:
Find a10, for the geometric sequence an = 3(4)^n-1.
A. 262,144
B. 786,432
C. 1,048,579
D. 3,145,728
The list shows the thicknesses of several different types of art paper.
Thickness
(cm)
0.004
0.007
0.011
0.011
0.012
0.020
0.200
0.214
What is the range of this set of data?
O A. 0.055
OB. 0.210
OC. 0.214
OD. 0.218
O E. 0.498
Y
Answer:
B. 0.210
Step-by-step explanation:
Range is the minimum value subtracted from the maximum value. In this case 0.004 is the smallest value and 0.214 is the largest.
Range = 0.214 - 0.004 = 0.210 = B
The range set of the given data is 0.21.
The given data sets are,
0.004
0.007
0.011
0.011
0.012
0.020
0.200
0.214
We know that,
In statistics, the range is the difference between the highest and lowest values for a given data collection.
For instance,
if the given data set is 2,5,8,10,3, the range is 10 - 2 = 8.
As a result, the range can also be defined as the difference between the highest and lowest observations.
The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.
Now to find the range set pf the given data,
Subtract minimum value to maximum value
Since maximum value = 0.214
And minimum value = 0.004
Then range set = 0.214 - 0.004
= 0.21
Thus, range of set ⇒ 0.21
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I am super confused about my stats homework. Every time I get the question wrong, it gives me a new set of numbers. Help!
Mr.jones filled his swimming pool with water
then go and swimand enjoy your holiday