Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
The amount invested at 14% is $4144 and the amount invested at 12% is $9894.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Investment at 14%= $14,038
Investment at 12%= $984.34
Now,
Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:
x + y = 14038 (total amount invested)
0.14x - 0.12y = 984.34 (difference in interest)
We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:
0.02x = 82.88
x = 4144
Then we can plug x into the first equation and get:
y = 14038 - 4144
y = 9894
Therefore, the simple interest will be $4144 and $9894.
Learn more about simple interest here;
https://brainly.com/question/1548909
#SPJ2
A group of friends wants to go to the amusement park. They have no more than $50 to spend on parking and admission. Parking is &11 and tickets cost $13 per person plus tax. How many people can go to the amusement park?
Answer:
3 people
Step-by-step explanation:
$11 for parking leaving $39 after paying for parking
39÷13=3
3. Write the equation of the altitude from B for A(-7,-5) B(-5,5), C(2, 1).
Answer:
y -5 = -3/2(x +5)
Step-by-step explanation:
The altitude from B is perpendicular to segment AC. The slope of segment AC is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-5))/(2 -(-7)) = 6/9 = 2/3
The slope of the altitude line will be the opposite reciprocal of this, so is ...
-1/m = -1/(2/3) = -3/2
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = -3/2(x +5) . . . . . line with slope -3/2 through B(-5, 5)
_____
Additional comment
The equation can be put in other forms, as you may wish. Solving for y gives the slope-intercept form.
y = -3/2x -5/2 . . . . . slope-intercept form
3x +2y = -5 . . . . . . . standard form
use the midpoint formula to find the midpoint of the given segment on the coordinate plane
Answer:
Midpoint : (4,3)
Step-by-step explanation:
midpoint = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Where the x and y values are derived from the given points.
We are given points H and K which are at (2,2) and (6,4)
We have (x1,y1) = (2,2) so x1 = 2 and y2 = 2
As well as (x2,y2) = (6,4) so x2 = 6 and y2 = 4
To find the midpoint we simply plug in the values of x and y into the formula
Recall the formula [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
x1 = 2 , x2 = 6 , y1 = 2 and y2 = 4
plug in these values into the formula
[tex](\frac{2+6}{2} ,\frac{2+4}{2} )[/tex]
add top values: 2 + 6 = 8 and 2 + 4 = 6
[tex](\frac{8}{2} ,\frac{6}{2} )[/tex]
simplify fractions : 8/2 = 4 and 6/2 = 3
The midpoint is at [tex](4,3)[/tex]
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answer:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]
Looks like g(x) is irrelevant here.
You can expand this like so:
[tex](h+f)(x)\\h(x)+f(x)[/tex]
And even further:
[tex](x^2-4)+(2x^2-9x+2)[/tex]
Now, it's just a matter of simplifying.
[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]
Therefore:
[tex](h+f)(x)=3x^2-9x-2[/tex]
2 decreased by the sum of m and 8
Answer:
(m+8) - 2
Step-by-step explanation:
Estimate the quotient .
pls help me
19 4/5 ÷ 4 5/8
Answer: The quotient is 4 52/185, which rounds to 4.
Explanation is in the image.
*PLEASE HELP*
If f(x)= 4x^2
+3 , find
f(0)
f(-2)
Answer:
f(0) = 3
f(-2) = 19
Step-by-step explanation:
f(x)= 4x^2 +3
1) f(x) = 4x^2 +3
f(0) = 4(0)^2 +3
f(0) = 3
2) f(x) = 4x^2 +3
f(-2) = 4(-2)^2 +3
f(-2) = 4(4) +3
f(-2) = 19
Mean of 72, 75, 78, 72, 73
to find the mean you add all the numbers together
72 + 75 + 78 + 72 + 73 = 370
then you divide by the number of numbers there are
370/5= 74
74
72+75+78+72+73 = 370
370/5 = 74
The altitudes of each triangle are drawn. Which of the triangles has an orthocenter on the exterior of the triangle?
Answer:
the second triangle
Step-by-step explanation:
because the point of intersection is out the triangle
In A Fraction What Is The Number On Top Called
Answer: numerator
Step-by-step explanation the bottom is the denominator
Hopes this helps✊
The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?
Step-by-step explanation:
a ticket for 3 days cost = 35968
cost of 1 ticket = 35967÷3= 11989.33
therefore, 500 tickets cost= 500 x 11989.33
= 5994666.666, approximately 5994667
Please help me on this math problem
What is the answer for 3x-7y=4 solve for y
y = [tex]\frac{4-3x}{7}[/tex]
Answer:
[tex]y = \frac{ - 4 + 3x}{7} [/tex]
Step-by-step explanation:
follow the steps in the previous answer, but
negative divided by a negative is positive
If a car travels 299.8 miles in 7.5 hours, what is the car's speed? please help quick!
45 mi/hr
27.5 mi/hr
25 mi/hr
40 mi/hr
Answer:
answer is D
Step-by-step explanation:
speed = distance divide by time.
299.8/ 7 .5
40
3.52 in expanded form
Step-by-step explanation:
3.52 =
3
+ 0.5
+ 0.02
hopes this helps you
Pls help me sue tmr pls pls pals question 6
Answer:
Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%
135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%
so Ankita is 90% of the height of Nita
Step-by-step explanation:
Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.
104
10−4
105
10−5
Answer:
Hello! Your answer here is 10−5.
Step-by-step explanation:
To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.
Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:
10−5
solve the equation using elimination
Answer:
1 1/3
Step-by-step explanation:
you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7
Ten movie tickets cost $80. How much does a single movie ticket cost?
Answer:
$10
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINEST!!!
they biked 220 kil
that is the answer
Verizon has a special and is selling the new iPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as Verizon, then how much is Apple charging for the new phone?
Answer:
$598
Step-by-step explanation:
2 x 299 = 598 so Apple is charging $598 for the new phone.
Fill in the boxes please
[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]
To Prove: [tex]AB \parallel DCAB∥DC[/tex]
1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]
Reason: Given
2. AC = AC
Reason: Reflexive Property of Equality
3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]
Reason: If Lines are parallel, then Alternate Interior Angles are Equal).
4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]
Reason: SAS
5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]
Reason: CPCTE
6. [tex]AB \parallel DCAB∥DC[/tex]
Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.
Answer:
The missing Statements and reasons are given below
Statement >> Reason
4. CB ≅ BC >> reflexive property of congruence
5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC >> Alternate interior angles theorem
6. ΔACB ≅ ΔDBC >> ASA congruence
7. AB ≅ DC and AC ≅ DB >> CPCTC
If 333 + 555 = 999
And 123 + 456 = 488
And 505 + 213 = 809
Then, 344 + 732 = ???
Answer:
1076
Step-by-step explanation:
Is the answer for the last one is 298?
3⋅ (3⁴) = 3x=
What does x equal to?
what is 56/53 = I'm so confused I used my calculator but i don't know whats accurate
Answer:
1.05660377358 or 1.06 rounded
Step-by-step explanation:
If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.
Answer:
1.056603774
Step-by-step explanation:
passes thru (2,-1) with slope of 6
Answer:
y = 6x - 13
Step-by-step explanation:
Desmos guess and check :)
Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 , then
y = 6x + c ← is the partial equation
To find c substitute (2, - 1 ) into the partial equation
- 1 = 12 + c ⇒ c = - 1 - 12 = - 13
y = 6x - 13 ← equation of line
Would you rather have your boss pay you 10,000 a day for 3 full weeks
Answer:
yes I would............
Can ya'll help- none of the answers i've gotten match any answers-
Answer:
1 8/11
Step-by-step explanation:
Using a calculator you can determine this information easily. I recommend doing so.
the answer is
1 and 8/11
explanation
PLEASE HELP ME ASAP!!!!
Answer:
Subtraction property is the answer
Step-by-step explanation:
Mark brainliest please!
6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?
A. 6:4
B. 6:10
C. 6:16
D. 4:10
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
6:16
Step-by-step explanation:
plz mark as brain lst and like