Let A be the amount of money invested at a 12% annual interest rate and B be the amount of money invested at a 8% annual interest rate.
We know that A = B + 1500, and the total interest earned by the two investments is $1880.
The interest earned by the investment at a 12% annual interest rate is 0.12 * A = 0.12A
The interest earned by the investment at a 8% annual interest rate is 0.08 * B = 0.08B
Therefore, we can write the following equation to represent the situation:
0.12A + 0.08B = 1880
Since A = B + 1500, we can substitute this into the equation to get:
0.12(B + 1500) + 0.08B = 1880
Solving for B, we get:
0.12B + 180 + 0.08B = 1880
Combining like terms, we get:
0.2B + 180 = 1880
Subtracting 180 from both sides, we get:
0.2B = 1700
Dividing both sides by 0.2, we get:
B = 8500
Since A = B + 1500, we can substitute this value into the equation to find the value of A:
A = 8500 + 1500 = 10000
Therefore, the investor invested $8,500 at an 8% annual interest rate and $10,000 at a 12% annual interest rate.
Answer:
Account A (12%)= $10,000
Account B (8% stock fund) = $8,500
Step-by-step explanation:
Annual Interest Formula
[tex]\large \text{$ \sf I=P\left(1+r\right)^{t} -P$}[/tex]
where:
I = Interest.P = Principal amount.r = Interest rate (in decimal form).t = Time (in years).Account A:
P = x + 1500r = 12% = 0.12t = 1 year[tex]\implies \sf Interest=(x+1500) (1+0.12)^1-(x+1500)[/tex]
[tex]\implies \sf Interest=(x+1500) (1+0.12)-(x+1500)[/tex]
[tex]\implies \sf Interest=(x+1500)+0.12(x+1500)-(x+1500)[/tex]
[tex]\implies \sf Interest=0.12(x+1500)[/tex]
[tex]\implies \sf Interest=0.12x+180[/tex]
Account B (stock fund):
P = xr = 8% = 0.08t = 1 year[tex]\implies \sf Interest=x (1+0.08)^1-x[/tex]
[tex]\implies \sf Interest=x (1+0.08)-x[/tex]
[tex]\implies \sf Interest=x+0.08x-x[/tex]
[tex]\implies \sf Interest=0.08x[/tex]
If the total interest from the two investments was $1880:
[tex]\implies \sf 0.12x+180+0.08x=1880[/tex]
[tex]\implies \sf 0.2x+180=1880[/tex]
[tex]\implies \sf 0.2x=1700[/tex]
[tex]\implies \sf x=8500[/tex]
Therefore, the money invested in each of the two accounts is:
Account A = $8,500 + $1,500 = $10,000Account B = $8,500Danny is painting a doghouse. To make it durable, he will paint all sides, including the bottom. The doghouse is shaped like a rectangular prism with a triangular prism on top, as shown. How many cans of paint does Danny need to cover the doghouse if each can covers 20 ft2?
Answer:
6 cans
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
gotta trust
I need help please asap......................
Answer:
hi
Step-by-step explanation:
g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)
Answer:
(g-f)(x) = x²-7x -1
Step-by-step explanation:
hello :
g(x)=x²-5x f(x)=2x+1
(g-f)(x) =g(x) - f(x) = x²-5x- ( 2x+1 ) = x²-5x - 2x-1
(g-f)(x) = x²-7x -1
NO LINKS
Please help!!
Answer:
a
Step-by-step explanation:
the total cost is 2.50$/m
Which of the following is the closest to the value of x
I need help with this if you get it right I will mark you as brainlest
Answer:
The answer is 300!
Step-by-step explanation:
Answer: $300
Step-by-step explanation:
How we find it out is by finding 25% of $1,200 which is 300
What is the teams score?
Answer:
Can you give more information?
sorry I can't give you an answer, try posting the question again with all the information!
What is Landscape evolution theory
Answer:
Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.
Step-by-step explanation:
hopes this helps
have a good day :)
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х
Answer: x=10.25
Step-by-step explanation:
[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]
Using the commutative property, fill in the information necessary to make this a true statement. Solve: 5 × 8 = ×
Answer: 8*5
Step-by-step explanation: Because the comutative property says you can like, switch up the orders of the numbers in a thing and it is still trye. So 5*8=8*5.
The expression using the commutative property is
5 x 8 = 8 x 5.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The commutative property states that,
a x b = b x a
Now,
Using the commutative property,
5 x 8 is equal to 8 x 5.
Thus,
5 x 8 = 8 x 5
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
HELP GIVING BRAINLY!
Which expression shows how to write 1/6 - 2/3 using a common denominator
Answer:
3rd option
Step-by-step explanation:
Common denominator is 6. Multiply to get each term to a denominator of 6. Multiply first numerator and denominator by 1 and multiply 2 and 3 in the 2nd term by 2 each to get 6 as the denominator.
This will result in 1/6 - 4/6
Find the probability that a randomly selected point within the circle falls into the white area round to the nearest tenth of a percent
Answer:68%
Step-by-step explanation:
find area of the circle=50.2
Find the are of the triangle=16
Then find ratio=16/50.2
Then reduce=8/25.1=32%
Then subtract= 100-32=68%
find the value for x
Answer:
x = 6°
Step-by-step explanation:
Rule of vertical angles claims that the opposite angles ar the same
19x - 4 would be the opposite to 110
and 19x - 4 would equal 110
Lets form an equation
19x - 4 = 110
Evaluating
19x - 4+4 = 110 + 4
19x = 114
x = 114/19
x = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In the year 2012, 12% of the residents of the US moved to a different residence. Suppose that several
census workers took random samples of n = 150 residents from the population and computed the
proportion p of residents in each sample who had moved in 2012
What would be the shape of the sampling distribution of p?
Answer:
Approximately normal
Step-by-step explanation:
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
What is the median for the set of data 3.5 1 3 4
Answer:
3.5
Step-by-step explanation:
Test Scores
1, 1, 2, 3, 3, 4, 4, 5, 5, 5
median(middle #)
(3+4)/2 = 7/2 = 3.5
Answer:
3.5
Step-by-step explanation:
I need help plz 7th grade math
Answer:
-8, -11, -20. Anything negative will make it turn positive, so just do any negative number beyond -5.
__ x 5 > 5
3/3
2/3
5/3
Martha constructs the table below to show the relationship between her cell phone's age and the amount of time it takes to charge her phone battery. Which of the following describes the rate at which the time to charge the phone changes?
A. The time to charge the phone increases by 25 minutes with every 7.5-month increase in the phone's age.
B. The time to charge the phone increases by 15 minutes with every 7.5-month increase in the phone's age.
C. The time to charge the phone increases by 25 minutes with every 1-month increase in the phone's age.
D. The time to charge the phone increases by 15 minutes with every 2-month increase in the phone's age.
Answer:
D
Step-by-step explanation:
To find the rate of increase all you have to do is take one of the data sets to see that every two months its charge time increases by 15 minutes or 7.5 minutes every month.
Which equation finds the length of side c of this right triangle
Answer:
Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Use the Pythagorean Theorem to find c:
a² + b² = c²
√a² + b² = √c²
c = √a² +b²
5.81 is 10 times as much as
its 0.581 its pretty self explanatory so im not gonna explain
Using The diagram, name two pairs of adjacent angles and two pairs of vertical angles.
Answer:
1. adjacent: ∠ACB and ∠BCD.
vertical: ∠ACB and ∠ECD
Step-by-step explanation:
A number line going from negative 60 to negative 50. An open circle is at negative 54. Everything to the right of the circle is shaded.
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n
594 < -11n
Answer
C
Step-by-step explanation:
Answer:
C - 594 > -11n
Step-by-step explanation:
Just got it right on edge! Have a good day! :))
22% of _ peaches is 11 peaches
Find the perimeter of the following triangle.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.
1/7/18 yd
5/12 yd
1/2/9 yd
Answer:
If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.
Step-by-step explanation:
1. First, you have to turn them all into an improper fraction.
1 7/18 becomes 25/18
1 2/9 becomes 11/9
5/12 remains the same as it's already an improper fraction.
2. Find a common denominator, which is 36
25/18 becomes 50/36
11/9 becomes 44/36
5/12 becomes 15/36
3. Add them all together and you get 109/36
4. Turn it into a mixed number, and in this case, is 3 1/36
Solution is 3 1/36
Answer:
3 1/36
Step-by-step explanation:
Write a quadratic function f whose zeros are 6 and -5 .
Answer:
so ez
Step-by-step explanation:
HI IM INDIAN AND STUDING IN 10TH GRADE U?
87+25
[tex]12 + 10 [/tex]
Answer:
Seriously?
U don't know the answer
cuál es el promedió de edad
Answer:
22 años
Step-by-step explanation:
a
Answer:
Step-by-step explanation: Es una estadística que resume la distribución de la edad de la población. Hoy día, la media de edad a nivel global es 30,4 años.
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
A)X = 0
B)X = 1
C)There are no solutions to the system.
D)There are infinite solutions to the system.
Using Cramer’s Rule, the value of x is 0
How to determine the value of x?We have:
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
Represent as a matrix
[tex]\left[\begin{array}{cc}2/5&1/4\\2/3&5/12\end{array}\right] \left[\begin{array}{c}9/20&3/4\end{array}\right][/tex]
Start by calculating the determinant of the matrix
A = 2/4 * 5/12 - 2/3 * 1/4
Evaluate the product
A = 5/24 - 1/6
Evaluate the difference
A = (5 - 4)/24
|A| = 1/24
Next, replace the last column with the first
[tex]\left[\begin{array}{cc}9/20&1/4\\3/4&5/12\end{array}\right][/tex]
Calculate the determinant
|x| = 9/20 * 5/12 - 1/4 * 3/4
Evaluate the product
|x| = 3/16 - 3/16
Evaluate the difference
|x| = 0
The value of x is then calculated as:
x = |x|/|A|
So, we have:
x = 0/(1/24)
Evaluate
x = 0
Hence, the value of x is 0
Read more about Cramer's rule at:
https://brainly.com/question/11198799
#SPJ1
0 and no solutions are both wrong, but dont know the acrual answer lol
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
Alternate Exterior
Step-by-step explanation:
This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.