a = amount invested at 7%
b = amount invested at 8%
we know that total that he invested was 10000, therefore a + b = 10000.
hmmm how muich is 7% of "a"? well (7/100) * a => 0.07a.
how much is 8% of "b"? well (8/100) * b => 0.08b.
After a year he received in interest $730, so we know that at simple interest rate, 0.07a + 0.08b = 730.
[tex]\begin{cases} a+b=10000\\ 0.07a+0.08b=730\\[-0.5em] \hrulefill\\ b = 10000 - a \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{0.07a+0.08(10000-a) = 730} \\\\\\ 0.07a+800-0.08a=730\implies 0.07a-0.08a=-70\implies -0.01a=-70 \\\\\\ a=\cfrac{-70}{-0.01}\implies \boxed{a = 7000} ~\hfill \stackrel{\textit{we know that}}{b = 10000 -a}\implies \boxed{b = 3000}[/tex]
The expression 13x + 5 represents the number of marbles you have after purchasing 13 bags of marbles.
What does the term 13x represent?
What does 5 represent?
What does x represent
Which statement is true in the question below?
Answer:B
Step-by-step explanation:
Clip 102
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Standard Questions
Question Progress
Two families go to a zoo.
The Smith family of two adults and three children pay £66.
The Jones family of three adults and five children pay £105.
Work out the cost of an adult ticket and the cost of a child ticket.
In your working, let 'a'stand for an adult ticket and 'C'stand for a child ticket.
Answer:
Let's solve your system by elimination.
2a + 3c =66 ; 3a + 5c = 105
Multiply the first equation by 5,and multiply the second equation by -3.
5 (2a + 3c = 66)
−3 (3a + 5c = 105)
Becomes:
10a + 15c = 330
−9a − 15c = −315
Add these equations to eliminate c:
a = 15
Now that we've found a let's plug it back in to solve for c.
Write down an original equation:
2a + 3c = 66
Substitute 15 for a in 2a + 3c = 66:
(2)(15) + 3c = 66
3c + 30 = 66 (Simplify both sides of the equation)
3c + 30 −30 = 66 −30 (Add -30 to both sides)
3c = 36
3c3= 363 (Divide both sides by 3)
c = 12
Answer:
a = 15 and c = 12
8m – 5 for m = 9 answer please
Answer:
= 67
Step-by-step explanation:
8m – 5 for m = 9
~Substitute
8(9) - 5
~Simplify
72 - 5
~Subtract
67
Best of Luck!
Subtract.
7 1/5−(−3/5)
Enter your answer in the box as mixed number in simplest form.
Answer:
7 4/5
Step-by-step explanation:
when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value
this problem, 7 1/5 -(-3/5) is the same as this addition problem:
7 1/5 + 3/5
this equals 7 4/5
3 and 1/13 in simplest form.
Answer:
3 1/3 is already in the simplest form. It can be written as 0.230769 in decimal form (rounded to 6 decimal places).
Have an awesome day! :D
What is 5 times 9 divided 5 add 40 subtract 100
Answer:
-51
Step-by-step explanation:
Collect the like terms: 5a + 2b + b - 2a
Answer:
5a+2b+b-2a
5a-2a+2b+b
3a+3b
help me please 5 points
Answer:
-12
Step-by-step explanation:
The picture below shows the graph of which inequality?
Answer A is correct.
Step-by-step explanation:
Negative one is less than one.
On a recent vacation to the Philippines, Sama bought milk from two different stores. What is the difference in price between the two-unit rates for each carton of milk?
and
Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.
Please solve this correctly. I will give Brainliest.
Answer:
yes because that are true
Please help my son asked me for this and I don't understand it.
Answer:
y = 2x + 3
Step-by-step explanation:
In the slope-intercept form of the equation of a line,
y = mx + b,
m = slope, and b = y-intercept.
Let's look at Adriana's equation and understand the parts:
y = 2x + 4
y = mx + b
m = slope = 2; b = y-intercept = 4
Now let's look at the description of Henry's equation.
He has the same slope as Adriana, so for Henry, m = 2 also.
His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.
Now that we know that for Henry, m = 2, and b = 3, we can write his equation.
y = mx + b
y = 2x + 3
Answer: y = 2x + 3
Answer:
y=2x+3
Step-by-step explanation:
The answer is gonna be y=2x+3. The 2 is the slope so it needs to stay the same. the 4 in the original equation is the y intercept so to move it one unit lower you just subtract 1 and get your answer
Solve the quadratic by factoring: 3x^2+36x+33=0
Answer:
= − 11
Step-by-step explanation:
(C+X)/X
can be simplified as:
[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]
it's can simplify sorry
Elliot ran 4 laps in 209.2 seconds. If he ran at the same
speed for each lap, what was his time for each lap?
Answer: 52.3 seconds
Step-by-step explanation:
209.2 divided by 4
which is 52.3 seconds
geometry:PLEASE HELP MEEEEEE
Answer:
5
Step-by-step explanation:
Normally the two diagonals of a kite meet at a right angle. That information should not be withheld from you. Otherwise, you are just guessing.
You must assume then that <STP also = 90o
14x + 20 = 90 Subtract 20 from both sides
14x = 90 - 20 Combine
14x = 70 Divide both sides by 14
14x/14 = 70/14
x = 5
(1/2)power 5=?? please help with this one
Answer:
2.2360679774998
Step-by-step explanation:
Does anyone know this?
Answer:
I think 7.6 i remember i had something like this
Step-by-step explanation:
The difference of a number and six is negative four
Answer this problem y =-7/5x-1/5
Step-by-step explanation:
y=-7/5x-1/5
=-7×5/5x-1
=-35/5x-1
Help help help help help
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
Additional comment
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
Learn more about distance here:
https://brainly.com/question/32846365
#SPJ3
Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive.
Answer: Answer below.
Step-by-step explanation:
Because one child was not hungry and the cake was cut into 6 equal pieces, this mean one person got 2/6 or 1/3 of the cake and the rest got 1/6 other than the child who was not hungry. I can't draw this but you want to draw a child with 2 equal slices of the cake, one with no slices, and 4 more with 1/6 slices of the cake. Sorry I couldn't draw it, but hope this helps!
YALL PLS HELP ILL GIVE BRAINLIST I HAVE MATH IN 20 MIN PLS HELP
Answer:
so from one wheel side to the other is 27 inches it makes 15 rotations which means we would do 15 * 27 which is 405in
Step-by-step explanation:
5
Enter the correct answer in the box.
What is the standard form of function ?
f(x) = 4(x + 6)2 + 5
Substitute numerical values into the equation for a, b, and c.
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The standard form of the function is [tex]4x^2+48x + 149[/tex]
The standard form of an equationThe standard quadratic equation is expressed as:
[tex]y = ax^2 + bx + c[/tex]Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]
Expand the expression:
[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]
Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]
Learn more on standard form here: https://brainly.com/question/19169731
Write 640 : 30 in the lowest form.
Answer:
should be 64:3
Step-by-step explanation:
divide by 10
Find the distance between points A(−1, 5) and B(0, 4) to the nearest tenth.
Answer:
1.4
Step-by-step explanation:
Use the distance formula
d= √(x2-x1)² +(y2-y1)² , where x1, x2, y1, y2 are the coordinates of the points
A(x1 = −1, y1 = 5) and B(x2 = 0, y2 = 4)
d= √(0 - -1 )² +(4 - 5)²
d= √(1)² +(-1)²
d= √2
d= 1.414213562, round to the nearest tenth
d≈ 1.4
no link fast but righ and if you get the answer right can you help me with other question
Answer:
12 inches
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
113.04 = 1/3*3.14 ( 3)^2 h
113.04 = 9.42 h
Divide each side by 9.42
113.04/9.42 = h
12 = h
12 inches
Answer:
Height = 12 in
Step-by-step explanation:
Volume Cone = 1/3(πr²h)
113.04 = 1/3(3.14)(3²)(h) [tex]\longmapsto[/tex] Note that the 1/3 and 9 simplify
113.04 = 3.14(h)(3)
37.68 = 3.14(h)
h = 12
-Chetan K
I need help with this problem no where on Brainly
Answer:
blue graph
Step-by-step explanation:
that graph looks similar to e^x
so f(-x) will be similar to e^-x
so it will be a reflection over y axis
see the picture below
What is 60 percent of 92?
1.53
5.52
15.3
55.2
Answer:
[Fourth Option] 55.2
Step-by-step explanation:
60% -> 0.6
0.6 * 92 = 55.2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
(D) 55.2
Step-by-step explanation:
