Larry invested part of his $11,000 advance at 2% annual simple interest and the rest at 4%. If his total yearly interest from both accounts was $260 find the amount invested at each rate.
Answer:
[tex]Amount\ at\ 2 \%=9000[/tex]
[tex]Amount\ at\ 4\% =2000[/tex]
Step-by-step explanation:
From the question we are told that
Principle [tex]P=1000[/tex]
Rate 1 [tex]r_1=2\%[/tex]
Rate 1 [tex]r_2=4\%[/tex]
Total Interest [tex]I=\% 260[/tex]
Let
Amount at [tex]2 \%=x[/tex]
Amount at [tex]4\% =11000-x[/tex]
Generally the equation for the simple interest is mathematically given as
[tex]\frac{x*2*1}{100} +\frac{(11000-x)*4*1)}{100} =260[/tex]
[tex]2x+44000-4x=26000[/tex]
[tex]2x-4x=26000-44000\\[/tex]
[tex]2x=18000[/tex]
[tex]x=9000[/tex]
[tex]Amount\ at\ 2 \%=9000[/tex]
Therefore
Amount at [tex]4\% =11000-x[/tex]
Amount at [tex]4\% =11000-9000[/tex]
[tex]Amount\ at\ 4\% =2000[/tex]
multiply the following
(-7pq^2r^3) * (-13p^3q^2r)
Answer:
[tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]
Step-by-step explanation:
[tex](-7pq^2r^3) * (-13p^3q^2r)[/tex]
= 91[tex]p^{1+3q^{2r} }[/tex]*[tex]q^{2r^{3} }[/tex]
= [tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]
2 times the sum of 5 and y?
Answer:
10 + 2y
Step-by-step explanation:
2(5+y)
Distribute
10 + 2y
Answer:
2y + 10
Step-by-step explanation:
2(5(2) + y(2))
2 x 5 = 10
y x 2 = 2y
2y + 10
Simplify the expression -3/5( -8 + 5/9x - 3)
Answer:
the ans is in the picture with the steps hope it helps
(can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Which equation would you use to solve the following situation?
The first 3 people arrive at a party. Several more people come, and now there are 14 people at the party. How many people arrived after the first three people?
x + 14 = 3
3 + 14 = x
x - 3 = 14
3 + x = 14
Using the slope formula, find the slope of the line through the given points.
(6,6) and (8,2) what is the slope line
Answer:
-2
Step-by-step explanation:
To do this you just have to do the slope formula which is y2-y1/x2-x1 then plug in the numbers so you get 2-6/8-6 which would get you which can be reduced to -2 so that would be the answer
Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of Cars, Inc. sales always follow a linear pattern. (Round to nearest whole number) Year Sales (in millions) 2008 240 2010 280 millions Enter the answer
Answer:
The estimated sales were $260 million
Step-by-step explanation:
Assume the endpoints of a segment are (x1,y1) and (x2,y2).
The midpoint (xm,ym) is calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:
[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]
[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]
The estimated sales were $260 million
1) Example: X - (-7)= 5 *Simplify both negative signs (-) to make a positive (+) *
x + 7 = 5
-7 -7
X= -2
Check: (-2) +7 = 5
5 = 5
TRUE
2)
X - (- 4) = 12
1
X - (- 4) = 12
X + 4 = 12
X = 12 - 4
X = 8
Check:
(8)+4=12
12 = 12
TRUE
#CarryOnLearning#LearningIsFunDave is going to roll a die 60 times and see how often 1 falls.
According to the theoretical probability, how many shots must Dave make to expect to get 1?
Answer:
1,2,3,4,5,6 possibilities, so 1,3,5 are odd. 3/6 probability. consecutive rolls mean multiplication. 3/6 times 3/6 times.... a total of 5 times.
Step-by-step explanation:
Answer:
=1/6 x 60
=10
He should expect about 10 roles to show a 1.
The PTA is sponsoring an 8th grade
dance and has asked your help to
select a D.J. for the big event. You
called around and found that Dylan
the D.J. charges a $100 set-up fee plus
$17.50 per hour. Mya's MC Mobile hos a
$125.00 set-up fee, plus $10 per hour.
Which D.J. would you recommend to
the PTA? Be sure to clearly support
your recommendation mothemotically
A coin purse contains d dimes and q quarters. There are 35 coins in the purse, and the total value of the coins is $5.60. Create the system of linear equations and use it to find how many dimes and quarters are in the purse.
Answer:
14 dimes, 21 quarters
Step-by-step explanation:
Represent dimes with d and quarters with q.
So: 35 coins means
[tex]d + q = 35[/tex]
1 dime = $0.10 and 1 quarter = $0.25. So, a value of $5.60 means
[tex]0.10d + 0.25q = 5.60[/tex]
So, the system of equations is:
[tex]d + q = 35[/tex]
[tex]0.10d + 0.25q = 5.60[/tex]
Make d the subject in [tex]d + q = 35[/tex]
[tex]d = 35 - q[/tex]
Substitute 35 - q for d in [tex]0.10d + 0.25q = 5.60[/tex]
[tex]0.10d + 0.25(35 - q) = 5.60[/tex]
Open bracket
[tex]0.10d + 8.75 - 0.25q = 5.60[/tex]
Collect Like Terms
[tex]0.10d - 0.25q = 5.60 - 8.75[/tex]
[tex]-0.15q = -3.15[/tex]
Solve for q
[tex]q = \frac{-3.15}{-0.15}[/tex]
[tex]q = 21[/tex]
Substitute 21 for q in [tex]d = 35 - q[/tex]
[tex]d = 35 - 21[/tex]
[tex]d = 14[/tex]
For every 7 grams of protein in a cup of yogurt, there are 10 grams of carbohydrates. How many grams of protein are there for every gram of
carbohydrates?
Answer:
0.70 grams of protein are there for every gram of carbohydrates
Step-by-step explanation:
10/10 = 1
7/10 = 0.7
During the last schools football game, the Home Team scored 13 more points than the Visiting
denm. The total of their scores was 47. How many points did each team score?
Answer:
Home 30, visitor 17.
Step-by-step explanation:
Visiting team score is x. Home score is then x+13. Total of both is 47 so...
x+(x+13)=47
2x+13=47
2x-34
x=17
x+13=30
The score of Home Team is 30 points.
The score of Visiting team is 17 points.
Here,
During the last schools football game, the Home Team scored 13 more points than the Visiting team.
The total of their scores was 47.
We have to find points of each team score.
What is Number system?
A number system is a system representing numbers. It is also called the system of numeration.
Now,
Let Visiting team score x points.
Then, Home team score is 13 more points than the Visiting team.
Home team score x + 13 points.
The total of their scores was 47.
Hence,
x + (x + 13) = 47
2x + 13 = 47
2x = 47 - 13
2x = 34
x = 17
So, The score of Visiting team is 17 points.
And, The score of Home Team = 17 + 13 = 30 points.
Learn more about the number system visit:
https://brainly.com/question/17200227
#SPJ2
Emily estimated it would take her 40 minutes to run 3 miles. It actually took her 30 minutes. What was Emily's percent of error for the time she estimated to run 3 miles? A. 26.7% B. 25.0% C. 33.3% D. 10.0%
Answer:
C. 33.3%
Step-by-step explanation:
Estimated time = 40 minutes
Actual time = 30 minutes
Percent of error = (estimated time - actual time) / actual time × 100
= (40 minutes - 30 minutes) / 30 minutes × 100
= 10 minutes / 30 minutes × 100
= 0.3333 × 100
= 33.3%
Percent of error = 33.3%
C. 33.3%
State if the two triangles are congruent. If they are, state how you know.
–65 ≥ –10+ u/ 2
pls help
Answer:
–65 ≥ –10+ u/ 2
-65+10≥u/2
-55×2≥u
-110≥u
Answer:
-110>or equal to u
hope it's helpful ❤❤❤
THANK YOU❤
Give three equivalent ratios of 45/48
Answer:
[tex] \frac{15}{16} \\ \frac{90}{96} \\ \frac{135}{144 } [/tex]
Answer:
15/16, 90/96 and 135/144. hope it helps
the quotient of a number y and 2 When y equals 6
Answer:3
Step-by-step explanation:
y/2 is what we need. If y is 6. Then 6/2=3.
Solve the multi-step equation and place the steps in the correct order.
(Pls)
Answer:
1. 3x -6 + 4 = -20
2. 3x - 2 = -20
3. 3x = -18
4. × = -6
Answer:
The first one is 3x-2=-20. So the - 2 will cross the equal sign making it positive so it will be 3x = -20+2 given you 3x = - 18. You will divide it by 3 given u - 6. So all of them x= - 6
[tex]3x + 6[/tex]
What is the GCF ? ( greatest common factor )
What is the determinant of the coefficient matrix of the system 0 28 130 131
Answer:
A) No, because the determinant of the coefficient matrix is 0
Step-by-step explanation:
I think tell me if it's right
Answer:
C - 130
Explanation:
Hope you have a great day!
Find the value of: 0.0279 divided by 0.00009
Answer:
310
Answer:
0.00000002
Step-by-step explanation:
1. 3( x + 4y - 2) =
2. 6( 2a - 5)=
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Christina is having a Super Bowl party with 7 of her celebrity friends. Kobe lives 32 miles from Christina. Will Smith has to drive 32 miles to get to Christina’s. Kim Kardashian will drive 15 miles to get there. Wiz Khalifa is going to ride his bike 2 miles to get there. Andre 3000 is going to run 3 miles to get to Christina’s, and Lebron lives 32 miles from Christina’s house as well. Cardi B lives 45 miles from Christina. What is the median, mode, and mean of distance that they can travel? Complete the table below.
Answer:
Median: 32
Mode: 32
Mean of Distance: 22.60
Step-by-step explanation:
2, 3, 12, 32, 32, 32, 45
kobe 32 miles away
will smith 32 miles away
kim 12 miles away
wiz 2 miles away
andre 3 miles
lebron 32 miles
cardi b 45 miles
hey! please help on this question i'll give brainliest <333 .
Answer:
9 1/6
Step-by-step explanation:
=(35×3)+(10×6)6×3
=165/18
Simplifying 165/18, the answer is
=9 1/6
Which student below wrote an addition statement with the greatest sum,
and what is the sum?
In equilateral triangles STU:
==========================================================
Explanation:
Equilateral triangles have three equal sides, ie the sides are all the same length.
Let's set sides ST and TU equal to each other and solve for x
7x-10 = 2x+25
7x-2x = 25+10
5x = 35
x = 35/5
x = 7
Then we use this to compute each side
ST = 7x-10 = 7*7-10 = 49-10 = 39TU = 2x+25 = 2*7+25 = 14+25 = 39US = x^2 - 10 = 7^2 - 10 = 49-10 = 39Each side is 39 units long, so this confirms we have the correct answer.
The table lists recommended amounts of food to order for 25 guests. Nathan is hosting a graduation party for 40 guests. There will also be guests stopping by for a short time. For ordering purposes, Nathan will count each of the 45 “drop-in” guests as half a guest. How much of each food item should Nathan order?
Fried Chicken 24 pieces
Deli Meats 3 2/3 pounds
Lasagna 10 3/4 pounds
Answer:
I think the answer is 2.3
please tell me what x is NOW! -5x -2 = 11
Answer:
Step-by-step explanation:
-5x - 2 = 11
-5x = 13
x = -13/5
x = -2.6
NEED ANSWERS ASAP!! Find the value of X
Answer:
x=114
Step-by-step explanation:
These are alternate exterior angles, so they are the same. And because 114-10=104, they are the same if x=114.