Theodore invests a total of $19,500 in two accounts paying 8% and 15% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $2,400.00
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 8% simple interest.
Answer:
[tex]x+y=19500,\:0.08x+0.15y=2400\quad :\quad x=7500,\:y=12000[/tex]
Step-by-step explanation:
x + y = 19500
.08x + .15y = 2400
Given the list of numbers, 3, 2, 6, 3, 9, 5, 12, 7, if the pattern continues, what is the sum of the ninth and tenth numbers?
Answer:
Step-by-step explanation:
Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.
So the odd positions go up 3 6 9 12
And the next odd position is 15 which is the nineth term.
It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.
The sum of 9 and 15 = 24
If someone gives you a more consistent answer, take it.
An investment of $500 earns $70 simple interest after 6 years. To the
nearest tenth of a percent, what is the interest rate?
Answer:
Rate of interest is 2.3%
necesito ayduda aca, no entiendo nada mi profe de mates no explica bien
Answer:
dmytjlzjtzlyxluxuclliflfuludld7ulydyddy
What is the LCM of 42 and 63?
Please show work! I'm very confused and don't understand.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]
[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]
[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]
[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]
~[tex]\huge\text{Amphitrite1040:)}[/tex]When there is -2^2, how come the answer is negative and not positive.
Answer:
the negative cancels out the positive
simplify 3√578 - √162 + 4√32
[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]
An athlete runs two miles in 13.5 minutes. How many minutes is this per mile?
Answer:
6.75 minutes / mile.
Step-by-step explanation:
Time: 13.5 minutes
distance: 2 miles
rate: ?
You want the units to be minutes / mile. That's not the usual units for a rate. You have to be careful how you set this up.
13.5 minutes
2 miles
13.5 /2 = 6.75 minutes / mile = 6 minutes 45 seconds / mile
Write the answer without using exponents? -9^3
Answer:
1/729
Step-by-step explanation:
a negative exponent is fractioned like 1/9^3. Which can be simplified as 1/729 ans 9^3 = 729
G(x,y)={mod((x),2)>0,-1}
im doing a puzzle and this is a equation in the puzzle, i know the equation might be incomplete but the only other numbers i have for this is -6, -6 please do not answer "this answer might be spelled incorrectly" only comment that and i might be able to help
Answer:
the integer is a possible coordinate plane
Step-by-step explanation:
.
Write 2100 in scientific notation.
PEASE HELP ME 70 POINTS
Answer:
x: -2
f(x): 1.5
x: 0
f(x): 0.5
x: 3
f(x): -1
Step-by-step explanation:
Answer:
3/2, 1/2, - 1
Step-by-step explanation:
x + 2y = 1 --> this is 'f(x)'. Sub in the each x-value to the equations.
First part:
x = -2
x + 2y = 1
-2 + 2y = 1
2y = 3
y = 3/2
Second part:
x = 0
x + 2y = 1
0 + 2y = 1
2y = 1
y = 1/2
Third part:
x = 3
x + 2y = 1
3 + 2y = 1
2y = -2
y = -2/2
y = - 1
Which of the following is a solution to the inequality?5x-10<20
Answer:
x < 6
Step-by-step explanation:
5x - 10 < 20
5x < 30
x <6
hope that helps
Help asap plz first answer get brainliest
Answer:
Use a mixed fractional calculator. No one is gonna help u with this many questions...
https://www.calculatorsoup.com/calculators/math/mixednumbers.php
GL
Step-by-step explanation:
the set of integers between -5 and -9
Answer:
-6, -7, and -8
Step-by-step explanation:
Pretty simple, just count to the negatives.
plot function f on the graph f(x) = |1/2x - 2|
Answer:
See attachedStep-by-step explanation:
Given function:
f(x) = |1/2x - 2|The function is plotted and it is below.
The graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.
Therefore graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.
To know more about graphs follow
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An apple juice factory produced 6,425.51 gallons of apple juice in 4 days. How much apple juice, on average, did the factory produce each day?
Please help… sorry for asking a lot of questions
Answer:
Answer: KL is 10
Step-by-step explanation:
JL = JK + KL
first get value of x:
[tex]26 = (8x + 8) + (3x + 7) \\ 26 = (8x + 3x) + (8 + 7) \\ 26 = 11x + 15 \\ 11x = 26 - 15 \\ 11x = 11 \\ x = 1[/tex]
therefore,
[tex]KL = 3x + 7 \\ = (3 \times 1) + 7 \\ = 3 + 7 \\ = 10[/tex]
Compute the mean of the discrete probability distribution below:
X P(X)
2 0.20
3 0.25
4 0.45
5 0.10
Answer:
Step-b2
0.20
3
0.25
4
0.45
5
0.10
y-step explanation:
please help i’m abt to break down
Answer:
4= -5v-1
5= 3x
6= 9y-6
7= h-20
8= 29w-17z
9= 8mn-2n+5m
Step-by-step explanation:
first three that you did were correct! Hope it helps!
Can anyone help me with this
Answer and Step-by-step explanation:
This graph is a One to One Function.
For a function to be one-to-one, each x value must have its own y-value, which is the case for this graph.
The y value of a point where a vertical line intersects a graph represents an output for that input x value. If you draw a vertical line on the graph, and it intersects more than once, then the graph does not define as a function because that x value has more than one output (y).
#teamtrees #PAW (Plant And Water)
I hope this helps!
A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perimeter of the regular hexagon is 396 yd.
Answer:
sides = 61.5 yd
Step-by-step explanation:
hopefully the picture I have attached us clear and understandable
:)
The sum of 4 times a number and - 7, added to 9 times the number
Answer:
13x – 7
Step-by-step explanation:
If "a number represents x", then:
The sum of 4 times a number and - 7, added to 9 times the number = (4x + -7) + 9x.
(4x + -7) + 9x →
(4x + 9x) + -7 →
(13x) + -7 →
(13x) – 7 →
13x – 7.
The unknown number will be equal to 4.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the sum of 4 times a number and - 7, added to 9 times the number is 45. The value of the unknown number will be calculated as below:-
The sum of 4 times a number and - 7, added to 9 times the number = (4x + -7) + 9x.
(4x + -7) + 9x = 45
(4x + 9x) + -7 = 45
(13x) + -7 = 45
(13x) – 7 = 45
13x – 7 = 45
13x = 45 + 7
13x = 52
x = 4
Therefore, the unknown number will be equal to 4.
The complete question is given below:-
The sum of 4 times a number and - 7, added to 9 times the number is 45. Calculate the value of an unknown number.
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12. Negative twelve is four less than twice a number, p.
Answer:
tyrr
Step-by-step explanation:
g
The equation to represent the given phrase is 2p-4=-12.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given phrase is "Negative twelve is four less than twice a number, p."
Here, four less than twice a number, p is
2p-4
The difference is equal to -12.
Now, 2p-4=-12
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, transpose -4 to the other side of an equation, we get
2p=-12+4
2p=-8
p=-2
Therefore, the value of p is -2.
To learn more about an equation visit:
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what is the sum of (-5a ^2 + a + 2) + ( 2a^2 - a - 9)
(-5a² + a + 2) + (2a² - a - 9) =
= -5a² + a + 2 + 2a² - a - 9 =
= -5a² + 2a² + a - a + 2 - 9 = -3a² - 7
Multiply. (2x+5)(3x^2+2x+1)
a. 6x^3+19x^2+12x+5
b. 6x^3+15x^2+12x+6
c. 6x^3+19x^2+8x+6
d. 6x^3+18x^2+20x+5
Solution is in attachment !!
[tex] \boxed{ \boxed{6 {x}^{3} + 19x + 2x + 5 }}[/tex]
Answer:
a. [tex]6x^{3}+19x^{2}+12x+5[/tex]
Step-by-step explanation:
[tex](2x+5)(3x^{2} +2x+1)\\\\6x^{3}+4x^{2}+2x+15x^{2}+10x+5=\\\\6x^{3}+19x^{2}+12x+5[/tex]
The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance. If he correctly rounded to the nearest hundred
9514 1404 393
Answer:
4983
Step-by-step explanation:
Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.
Plz help I am confused
GIVING BRAINLIST
Solve one sixth ÷ 6 = ___.
one thirty sixth
alt=one thirty eighth
one fourtieth
one fiftieth
[tex]\dfrac{1}{6}:6=\dfrac{1}{6}\cdot\dfrac{1}{6}=\dfrac{1\cdot1}{6\cdot6}=\dfrac{1}{36}[/tex]
51 and 53 HELP PLS!!!!!!!
